Discussion:
*Psychological reason math professors keep calculus classrooms torture chambers-- for if they taught super easy calculus--then half of college and university math departments will be laid off since Calculus is supereasy to learn-- no more vomiting ..
(too old to reply)
Archimedes Plutonium
2024-02-11 04:20:38 UTC
Permalink
No more calculus torture chambers of vomiting and nervous breakdowns, because Calculus is really really so easy. All it is, is add or subtract 1 from a polynomial exponent and every student can add or subtract 1. For the Polynomial is the Only Valid Function of mathematics and the polynomial obeys the Power Rule. That is why AP can teach calculus in Junior High School.

Old Math accepts every lousy contraption as a function. Thousands and thousands of contraptions especially the hideous trig functions. While New Math tells you to convert your contraption to a polynomial, then you can bring it into the classroom of calculus.

Why do not math professors teach the Polynomial is the only valid function? It is because of job security, for if math professors taught the super easy calculus, the department of math at colleges and universities would shrink by half-- so easy is the New Calculus.


My 134th published book of science.

Introduction to TEACHING TRUE MATHEMATICS: Volume 1 for ages 5 through 26, math textbook series, book 1 Kindle Edition
by Archimedes Plutonium (Author)

The 134th book of AP, and belatedly late, for I had already written the series of TEACHING TRUE MATHEMATICS in a 7 volume, 8 book set. This would be the first book in that 8 book set (one of the books is a companion book to 1st year college). But I suppose that I needed to write the full series before I could write the Introduction and know what I had to talk about and talk about in a logical progression order. Sounds paradoxical in a sense, that I needed to write the full series first and then go back and write the Introduction. But in another sense, hard to write an introduction on something you have not really fully done and completed. For example to know what is error filled Old Math and to list those errors in a logical order requires me to write the full 7 volumes in order to list in order the mistakes.

Cover Picture: Mathematics begins with counting, with numbers, with quantity. But counting numbers needs geometry for something to count in the first place. So here in this picture of the generalized Hydrogen atom of chemistry and physics is a torus geometry of 8 rings of a proton torus and one ring where my fingers are, is a equator ring that is the muon and thrusting through the proton torus at the equator of the torus. So we count 9 rings in all. So math is created by atoms and math numbers exist because atoms have many geometry figures to count. And geometry exists because atoms have shapes and different figures.

Product details
• ASIN ‏ : ‎ B08K2XQB4M
• Publication date ‏ : ‎ September 24, 2020
• Language ‏ : ‎ English
• File size ‏ : ‎ 576 KB
• Text-to-Speech ‏ : ‎ Enabled
• Screen Reader ‏ : ‎ Supported
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• Print length ‏ : ‎ 23 pages
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• Best Sellers Rank: #224,974 in Kindle Store (See Top 100 in Kindle Store)
◦ #3 in 45-Minute Science & Math Short Reads
◦ #23 in Calculus (Kindle Store)
◦ #182 in Calculus (Books)


#5-2, My 45th published book.

TEACHING TRUE MATHEMATICS: Volume 2 for ages 5 to 18, math textbook series, book 2
by Archimedes Plutonium (Author) (Amazon Kindle edition)

Last revision was 2NOV2020. And this is AP's 45th published book of science.

Preface: Volume 2 takes the 5 year old student through to senior in High School for their math education.

This is a textbook series in several volumes that carries every person through all his/her math education starting age 5 up to age 26. Volume 2 is for age 5 year old to that of senior in High School, that is needed to do both science and math. Every other math book is incidental to this series of Teaching True Mathematics.

It is a journal-textbook because Amazon's Kindle offers me the ability to edit overnight, and to change the text, almost on a daily basis. A unique first in education textbooks-- almost a continual overnight editing. Adding new text, correcting text. Volume 2 takes the 5 year old student through to senior in High School for their math education. Volume 3 carries the Freshperson in College for their math calculus education.

Cover Picture: The Numbers as Integers from 0 to 100, and 10 Grid when dividing by 10, and part of the 100 Grid when dividing by 100. Decimal Grid Numbers are the true numbers of mathematics. The Reals, the rationals & irrationals, the algebraic & transcendentals, the imaginary & Complex, and the negative-numbers are all fake numbers. For, to be a true number, you have to "be counted" by mathematical induction. The smallest Grid system is the Decimal 10 Grid.



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ASIN ‏ : ‎ B07RG7BVZW
Publication date ‏ : ‎ May 2, 2019
Language ‏ : ‎ English
File size ‏ : ‎ 2024 KB
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Print length ‏ : ‎ 423 pages
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Best Sellers Rank: #235,426 in Kindle Store (See Top 100 in Kindle Store)
#15 in General Geometry
#223 in Geometry & Topology (Books)


#5-3, 55th published book

TEACHING TRUE MATHEMATICS: Volume 3 for age 18-19, 1st year College Calculus, math textbook series, book 3 Kindle Edition
by Archimedes Plutonium (Author)

Last revision was 25Jun2021. And this is AP's 55th published book of science.

Teaching True Mathematics, by Archimedes Plutonium 2019

Preface: This is volume 3, book 3 of Teaching True Mathematics, designed for College Freshperson students, 1st year college students of age 18-19. It is the continuation of volume 2 for ages 5 through 18 years old.

The main major topic is the AP-EM equations of electricity and magnetism, the mathematics for the laws of electricity and magnetism; what used to be called the Maxwell Equations of Physics. The 1st Year College Math has to prepare all students with the math for all the sciences. So 1st year college Math is like a huge intersection station that has to prepare students with the math they need to do the hard sciences such as physics, chemistry, biology, astronomy, geology, etc. What this means is, 1st year college is calculus that allows the student to work with electricity and magnetism. All the math that is needed to enable students to do electricity and magnetism. In Old Math before this textbook, those Old Math textbooks would end in 1/3 of the text about Arclength, vector space, div, curl, Line Integral, Green's, Stokes, Divergence theorem trying to reach and be able to teach Maxwell Equations. But sadly, barely any Old Math classroom reached that 1/3 ending of the textbook, and left all those college students without any math to tackle electricity and magnetism. And most of Old Math was just muddle headed wrong even if they covered the last 1/3 of the textbook. And that is totally unacceptable in science. This textbook fixes that huge hole and gap in Old Math education.

And there is no way around it, that a course in 1st year College Calculus is going to do a lot of hands on experiment with electricity and magnetism, and is required of the students to buy a list of physics apparatus-- multimeter, galvanometer, coil, bar magnet, alligator clip wires, electromagnet, iron filing case, and possibly even a 12 volt transformer, all shown in the cover picture. The beginning of this textbook and the middle section all leads into the ending of this textbook-- we learn the AP-EM Equations and how to use those equations. And there is no escaping the fact that it has to be hands on physics experiments in the classroom of mathematics.

But, do not be scared, for this is all easy easy easy. For if you passed and enjoyed Volume 2 TEACHING TRUE MATHEMATICS, then I promise you, you will not be stressed with Volume 3, for I go out of my way to make it clear and understandable.

Warning: this is a Journal Textbook, meaning that I am constantly adding new material, constantly revising, constantly fixing mistakes or making things more clear. So if you read this book in August of 2019, chances are it is different when you read it in September 2019. Ebooks allow authors the freedom to improve their textbooks on a ongoing basis.

The 1st year college math should be about the math that prepares any and all students for science, whether they branch out into physics, chemistry, biology, geology, astronomy, or math, they should have all the math in 1st year college that will carry them through those science studies. I make every attempt possible to make math easy to understand, easy to learn and hopefully fun.

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• ASIN ‏ : ‎ B07WN9RVXD
• Publication date ‏ : ‎ August 16, 2019
• Language ‏ : ‎ English
• File size ‏ : ‎ 1390 KB
• Simultaneous device usage ‏ : ‎ Unlimited
• Text-to-Speech ‏ : ‎ Enabled
• Screen Reader ‏ : ‎ Supported
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• X-Ray ‏ : ‎ Not Enabled
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• Print length ‏ : ‎ 236 pages
• Lending ‏ : ‎ Enabled
• Best Sellers Rank: #1,377,070 in Kindle Store (See Top 100 in Kindle Store)
◦ #411 in Calculus (Kindle Store)
◦ #2,480 in Calculus (Books)

#5-4, 56th published book

COLLEGE CALCULUS GUIDE to help students recognize math professor spam from math truth & reality// math textbook series, book 4 Kindle Edition

by Archimedes Plutonium (Author)


#1 New Releasein 15-Minute Science & Math Short Reads


This textbook is the companion guide book to AP's Teaching True Mathematics, 1st year College. It is realized that Old Math will take a long time in removing their fake math, so in the interim period, this Guide book is designed to speed up the process of removing fake Calculus out of the education system, the fewer students we punish with forcing them with fake Calculus, the better we are.
Cover Picture: This book is part comedy, for when you cannot reason with math professors that they have many errors to fix, that 90% of their Calculus is in error, you end up resorting to comedy, making fun of them, to prod them to fix their errors. To prod them to "do right by the students of the world" not their entrenched propaganda.
Length: 54 pages


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File Size: 1035 KB
Print Length: 64 pages
Simultaneous Device Usage: Unlimited
Publication Date: August 18, 2019
Sold by: Amazon.com Services LLC
Language: English
ASIN: B07WNGLQ85
Text-to-Speech: Enabled 
X-Ray: 
Not Enabled  

Word Wise: Not Enabled
Lending: Enabled
Enhanced Typesetting: Enabled 
Amazon Best Sellers Rank: #253,425 Paid in Kindle Store (See Top 100 Paid in Kindle Store)
#38 in 90-Minute Science & Math Short Reads
#318 in Calculus (Books)
#48 in Calculus (Kindle Store)

#5-5, 72nd published book

TEACHING TRUE MATHEMATICS: Volume 4 for age 19-20 Sophomore-year College, math textbook series, book 5 Kindle Edition
by Archimedes Plutonium (Author)

Preface: This is volume 4, book 5 of Teaching True Mathematics, designed for College Sophomore-year students, students of age 19-20. It is the continuation of volume 3 in the end-goal of learning how to do the mathematics of electricity and magnetism, because everything in physics is nothing but atoms and atoms are nothing but electricity and magnetism. To know math, you have to know physics. We learned the Calculus of 2nd dimension and applied it to the equations of physics for electricity and magnetism. But we did not learn the calculus of those equations for 3rd dimension. So, you can say that Sophomore year College math is devoted to 3D Calculus. This sophomore year college we fill in all the calculus, and we start over on all of Geometry, for geometry needs a modern day revision. And pardon me for this book is mostly reading, and the students doing less calculations. The classroom of this textbook has the teacher go through page by page to get the students comprehending and understanding of what is being taught. There are many hands on experiments also.

Cover Picture shows some toruses, some round some square, torus of rings, thin strips of rings or squares and shows them laid flat. That is Calculus of 3rd dimension that lays a ring in a torus to be flat in 2nd dimension.
Length: 105 pages

Product details
• ASIN ‏ : ‎ B0828M34VL
• Publication date ‏ : ‎ December 2, 2019
• Language ‏ : ‎ English
• File size ‏ : ‎ 952 KB
• Text-to-Speech ‏ : ‎ Enabled
• Screen Reader ‏ : ‎ Supported
• Enhanced typesetting ‏ : ‎ Enabled
• X-Ray ‏ : ‎ Not Enabled
• Word Wise ‏ : ‎ Not Enabled
• Print length ‏ : ‎ 105 pages
• Lending ‏ : ‎ Enabled
• Best Sellers Rank: #242,037 in Kindle Store (See Top 100 in Kindle Store)
◦ #36 in Calculus (Kindle Store)
◦ #219 in Calculus (Books)


#5-6, 75th published book

TEACHING TRUE MATHEMATICS: Volume 5 for age 20-21 Junior-year of College, math textbook series, book 6 Kindle Edition
by Archimedes Plutonium 2019

This is volume 5, book 6 of Teaching True Mathematics, designed for College Junior-year students, students of age 20-21. In first year college Calculus we learned calculus of the 2nd dimension and applied it to the equations of physics for electricity and magnetism. And in sophomore year we learned calculus of 3rd dimension to complete our study of the mathematics needed to do the physics of electricity and magnetism. Now, junior year college, we move onto something different, for we focus mostly on logic now and especially the logic of what is called the "mathematical proof". Much of what the student has learned about mathematics so far has been given to her or him as stated knowledge, accept it as true because I say so. But now we are going to do math proofs. Oh, yes, we did prove a few items here and there, such as why the Decimal Grid Number system is so special, such as the Pythagorean Theorem, such as the Fundamental Theorem of Calculus with its right-triangle hinged up or down. But many ideas we did not prove, we just stated them and expected all students to believe them true. And you are now juniors in college and we are going to start to prove many of those ideas and teach you "what is a math proof". Personally, I myself feel that the math proof is overrated, over hyped. But the math proof is important for one reason-- it makes you better scientists of knowing what is true and what is a shaky idea. A math proof is the same as "thinking straight and thinking clearly". And all scientists need to think straight and think clearly. But before we get to the Mathematics Proof, we have to do Probability and Statistics. What you learned in Grade School, then High School, then College, called Sigma Error, now becomes Probability and Statistics. It is important because all sciences including mathematics needs and uses Probability and Statistics. So, our job for junior-year of college mathematics is all cut out and ahead for us, no time to waste, let us get going.

Cover Picture: is a sample of the Array Proof, a proof the ellipse is not a conic but rather a cylinder cut wherein the oval is the slant cut of a cone, not the ellipse.

Length: 175 pages


Product details
ASIN : B0836F1YF6
Publication date : December 26, 2019
Language : English
File size : 741 KB
Text-to-Speech : Enabled
Screen Reader : Supported
Enhanced typesetting : Enabled
X-Ray : Not Enabled
Word Wise : Not Enabled
Print length : 175 pages
Lending : Enabled
Best Sellers Rank: #3,768,255 in Kindle Store (See Top 100 in Kindle Store)
◦ #3,591 in Probability & Statistics (Kindle Store)
◦ #19,091 in Probability & Statistics (Books)


#5-7, 89th published book

TEACHING TRUE MATHEMATICS: Volume 6 for age 21-22 Senior-year of College, math textbook series, book 7 Kindle Edition
by Archimedes Plutonium 2020

Last revision was 6Feb2021.
Preface: This is the last year of College for mathematics and we have to mostly summarize all of mathematics as best we can. And set a new pattern to prepare students going on to math graduate school. A new pattern of work habits, because graduate school is more of research and explore on your own. So in this final year, I am going to eliminate tests, and have it mostly done as homework assignments.

Cover Picture: Again and again, many times in math, the mind is not good enough alone to think straight and clear, and you need tools to hands-on see how it works. Here is a collection of tools for this senior year college classes. There is a pencil, clipboard, graph paper, compass, divider, protractor, slide-ruler. And for this year we spend a lot of time on the parallelepiped, showing my wood model, and showing my erector set model held together by wire loops in the corners. The plastic square is there only to hold up the erector set model.

Length: 110 pages

Product details
ASIN ‏ : ‎ B084V11BGY
Publication date ‏ : ‎ February 15, 2020
Language ‏ : ‎ English
File size ‏ : ‎ 826 KB
Text-to-Speech ‏ : ‎ Enabled
Screen Reader ‏ : ‎ Supported
Enhanced typesetting ‏ : ‎ Enabled
X-Ray ‏ : ‎ Not Enabled
Word Wise ‏ : ‎ Enabled
Print length ‏ : ‎ 110 pages
Lending ‏ : ‎ Enabled
Best Sellers Rank: #224,965 in Kindle Store (See Top 100 in Kindle Store)
◦ #345 in Mathematics (Kindle Store)
◦ #373 in Physics (Kindle Store)
◦ #2,256 in Physics (Books)

#5-8, 90th published book

TEACHING TRUE MATHEMATICS: Volume 7 for age 22-26 Graduate school, math textbook series, book 8 Kindle Edition
by Archimedes Plutonium 2020

Last revised 1NOV2020. This was AP's 90th published book of science.

Preface: This is College Graduate School mathematics. Congratulations, you made it this far. To me, graduate school is mostly research, research mathematics and that means also physics. So it is going to be difficult to do math without physics. Of course, we focus on the mathematics of these research projects.

My textbook for Graduate school is just a template and the professors teaching the graduate students are free of course to follow their own projects, but in terms of being physics and math combined. What I list below is a template for possible projects.

So, in the below projects, I list 36 possible research projects that a graduate student my like to undertake, or partake. I list those 36 projects with a set of parentheses like this (1), (2), (3), etc. Not to be confused with the chapters listing as 1), 2), 3), etc. I list 36 projects but the professor can offer his/her own list, and I expect students with their professor, to pick a project and to monitor the student as to his/her progresses through the research. I have listed each project then cited some of my own research into these projects, below each project is an entry. Those entries are just a help or helper in getting started or acquainted with the project. The entry has a date time group and a newsgroup that I posted to such as sci.math or plutonium-atom-universe Google newsgroups. Again the entry is just a help or helper in getting started.

Now instead of picking one or two projects for your Graduate years of study, some may select all 36 projects where you write a short paper on each project. Some may be bored with just one or two projects and opt for all 36.

Cover Picture: A photo by my iphone of a page on Permutations of the Jacobs book Mathematics: A Human Endeavor, 1970. One of the best textbooks ever written in Old Math, not for its contents because there are many errors, but for its teaching style. It is extremely rare to find a math textbook written for the student to learn. Probably because math professors rarely learned how to teach in the first place; only learned how to unintentionally obfuscate. The page I photographed is important because it is the interface between geometry's perimeter or surface area versus geometry's area or volume, respectively. Or, an interface of pure numbers with that of geometry. But I have more to say on this below.
Length: 296 pages

Product details
ASIN ‏ : ‎ B085DF8R7V
Publication date ‏ : ‎ March 1, 2020
Language ‏ : ‎ English
File size ‏ : ‎ 828 KB
Text-to-Speech ‏ : ‎ Enabled
Screen Reader ‏ : ‎ Supported
Enhanced typesetting ‏ : ‎ Enabled
X-Ray ‏ : ‎ Not Enabled
Word Wise ‏ : ‎ Not Enabled
Print length ‏ : ‎ 296 pages
Lending ‏ : ‎ Enabled
Best Sellers Rank: #224,981 in Kindle Store (See Top 100 in Kindle Store)
◦ #13 in General Geometry
◦ #213 in Geometry & Topology (Books)


#5-9, 221st published book

An Education Ladder Guideline for teaching mathematics and a Test to see if you are cut out to be a mathematician//Teaching True Mathematics
by Archimedes Plutonium (Author) (Amazon's Kindle)

Preface: This book is written to improve math education in school and at home. Trouble is, you cannot improve math education if the professors of mathematics have much of their teachings in error. So I write this book mostly as a test for math professors because to shine a light on math professor failure is the best way to improve math teaching, and thereby improve school curriculums especially colleges and universities. But others, such as laypersons are welcomed to join in. And it is the laypersons and students that will make the greatest amount of use of this book because math professors are usually stubborn and idiotic and hard to change for the better. And so when students and laypersons keep asking questions of their math professors, their brainwashing and thus poor teaching, they eventually come around to the truth and then change their bad behavior and bad misunderstanding; to proper true mathematics.

Cover Picture: Is my iphone photograph of a rubber washer inside a plastic cone. The washer is at a steep slant angle to the cone perpendicular. Notice the washer near the apex is fully touching the side of the cone, but the washer directed towards the base has not yet cut through the side of the cone, and you can see a rainbow or a crescent shape of area where the washer will intersect the side of the cone, (where my two finger are), making a total figure of a Oval, never the ellipse. I was taking this picture as one person, so I had the iphone camera in one hand and the cone in another hand, and had to use a rubber washer to stay in place. The same green plastic cone used in this picture appears in both of my published books of the proof slant cut of cone is oval, never the ellipse.

My 3rd published book with the same green cone on cover.
AP's Proof-Ellipse was never a Conic Section // Math proof series, book 1 Kindle Edition
by Archimedes Plutonium (Author)

My 68th published book with the same green cone on cover.
Proofs Ellipse is never a Conic section, always a Cylinder section and a Well Defined Oval definition//Student teaches professor series, book 5 Kindle Edition
by Archimedes Plutonium (Author)

Product details
• ASIN ‏ : ‎ B0BQDYMYKQ
• Publication date ‏ : ‎ December 16, 2022
• Language ‏ : ‎ English
• File size ‏ : ‎ 551 KB
• Text-to-Speech ‏ : ‎ Enabled
• Screen Reader ‏ : ‎ Supported
• Enhanced typesetting ‏ : ‎ Enabled
• X-Ray ‏ : ‎ Not Enabled
• Word Wise ‏ : ‎ Not Enabled
• Sticky notes ‏ : ‎ On Kindle Scribe
• Print length ‏ : ‎ 65 pages


#5-10, 160th published book

MATHOPEDIA-- List of 82 fakes and mistakes of Old Math// mathematics & logic
by Archimedes Plutonium

Preface:
A Mathopedia is like a special type of encyclopedia on the subject of mathematics. It is about the assessment of the worth of mathematics and the subject material of mathematics. It is a overall examination and a evaluation of mathematics and its topics.

The ordering of Mathopedia is not a alphabetic ordering, nor does it have a index. The ordering is purely that of importance at beginning and importance at end.

The greatest use of Mathopedia is a guide to students of what not to waste your time on and what to focus most of your time. I know so many college classes in mathematics are just a total waste of time, waste of valuable time for the class is math fakery. I know because I have been there.

Now I am going to cite various reference sources of AP books if anyone wants more details and can be seen in the Appendix at the end of the book.

I suppose, going forward, mathematics should always have a mathopedia, where major parts of mathematics as a science are held under scrutiny and question as to correctness. In past history we have called these incidents as "doubters of the mainstream". Yet math, like physics, can have no permanent mainstream, since there is always question of correctness in physics, there then corresponds questions of correctness in mathematics (because math is a subset of physics). What I mean is that each future generation corrects some mistakes of past mathematics. If anyone is unsure of what I am saying here, both math and physics need constant correcting, of that which never belonged in science. This then converges with the logic-philosophy of Pragmatism (see AP's book of logic on Pragmatism).

Product details
• ASIN ‏ : ‎ B09MZTLRL5 and ASIN ‏ : ‎ B09ZWFLKHC
• Publication date ‏ : ‎ December 2, 2021
• Product details
• ASIN ‏ : ‎ B09ZWFLKHC
• Publication date ‏ : ‎ May 8, 2022
• Language ‏ : ‎ English
• File size ‏ : ‎ 1154 KB
• Text-to-Speech ‏ : ‎ Enabled
• Screen Reader ‏ : ‎ Supported
• Enhanced typesetting ‏ : ‎ Enabled
• X-Ray ‏ : ‎ Not Enabled
• Word Wise ‏ : ‎ Not Enabled
• Sticky notes ‏ : ‎ On Kindle Scribe
• Print length ‏ : ‎ 71 pages



y z
| /
| /
|/______ x


Very crude dot picture of 5f6 magnetosphere of 231Pu Atom Totality.

A torus shape doing the Faraday Law inside of each and every atom. The Cosmos of Astronomy looks like this.
____
.-' `-.
.' ::\ ::|:: /:: `.
/ ::\::|::/:: \
; _ _ ;
| ___( O )___ |
; - - ;
\ ::/::|::\:: /
`. ::/ ::|:: \:: .'
`- _____ .-'

One of those dots in the magnetosphere is the Milky Way galaxy. And
each dot represents another galaxy. The O is the Cosmic nucleus and
certainly not as dense as what Old Physics thought because in New Physics
the interior of atoms has the Faraday law with the donut hole occupied by neutrons as storage capacitors.


Biden reCAPTcha censor blocked this AP post in sci.math as a new thread in sci.math so that AP can only post the above in a old thread-- but rather Biden's censor likes to fill sci.math with reams of 40 spam-mill posts every 2 hours of Ebooks and Asia slot machines. So AP is left with no option other than posting the below in a old thread.


AP kindly asks Google to let AP run all three, sci.math, sci.physics, PAU as he runs PAU, now--- all pure science, no spam and no govt b.s.

PAU newsgroup is this.
https://groups.google.com/forum/?hl=en#!forum/plutonium-atom-universe
Archimedes Plutonium


*Psychological reason math professors keep calculus classrooms torture chambers-- for if they taught super easy calculus--then half of college and university math departments will be laid off since Calculus is supereasy to learn-- no more vomiting ..
Archimedes Plutonium
2024-02-12 15:57:26 UTC
Permalink
Psychology_behind math professors seeing Quantum Mechanics is "discrete" yet math professor fools dug deeper and deeper into continuous and continuum Cohen.


#11-1, My 14th published book of science.

Correcting Math// Math focus series, book 1 Kindle Edition
by Archimedes Plutonium (Author)

In the 1990s, I took a survey of Math Professors doing a simple math proof of Euclid's Infinitude of Primes Proof, and found that 84% of Math Professors failed to deliver a valid proof in that survey. The reason I believe this poor performance is that math professors for the most part are never required to take Logic courses while in college, to teach them how to think straight, think clearly. As a result, the world is cluttered with their fake mathematics with no hope of cleaning up their messes. And instead of fixing their mistakes and errors, they keep on cluttering the world with more fake math.

I propose that all math professors be required to take Logic in College as a mandatory requirement. Further, I recommend that all math prizes such as Abel, Fields, etc, that all math prizes awarded to those that can show they first fixed errors "fixed something of Old Math" before any of their manuscript of a proof of something else new in math be considered or given a look-over. That is-- prove yourself first -- you can fix math before we want to look at your new offerings. Show yourself as being math intelligent by fixing errors, rather than throw another error filled fake-proof onto mathematics-- Appel & Haken fake 4 Color Mapping, Wiles's fake FLT, Hales's fake Kepler Packing, Tao & Green fake number theory proof. Show us you can fix math, then we can consider anything new you want to offer.

Cover picture: A tractrix formed by a pocket-watch on graph paper, for this is how infinity borderline is determined.

Product details
• ASIN ‏ : ‎ B07PQ2CXBY
• Publication date ‏ : ‎ March 15, 2019
• Language ‏ : ‎ English
• File size ‏ : ‎ 2020 KB
• Text-to-Speech ‏ : ‎ Enabled
• Screen Reader ‏ : ‎ Supported
• Enhanced typesetting ‏ : ‎ Enabled
• X-Ray ‏ : ‎ Not Enabled
• Word Wise ‏ : ‎ Not Enabled
• Sticky notes ‏ : ‎ On Kindle Scribe
• Print length ‏ : ‎ 721 pages




#11-2, 35th published book

True Trigonometry and remove all trigonometry out of Calculus// Math focus series, book 2
by Archimedes Plutonium (Author) (Amazon's Kindle)

Last revision was 18Jan2022. And this is AP's 35th published book of science.

Preface: This book was published by Amazon's Kindle in 5 April 2019, with 33 pages. And the book explains several important principles about mathematics, trigonometry and the relationship of numbers to angles. Unfortunately, as I wrote the book starting 2016 and up to publishing in 5 April 2019, I thought I had the matter mostly closed for the subject of trigonometry. That sine and cosine were Semicircle Waves, bobbing up and down in semicircle pattern looking like this ^v^v^v^. But then comes May and June of 2019 and another major discovery about trigonometry. A major discovery that changes all of Trigonometry graphing of functions and what those functions are, in the first place. So instead of making a singular correction-- no sinusoid wave but rather a semicircle wave, by May of 2019, I was having to throw out even the Semicircle wave and replace it with its true Trigonometry wave-- the cycloid, where you can have the Pure Cycloid wave or the Semicircle Cycloid Wave and all sorts of cycloid waves in-between pure and semicircle. That discovery of May 2019, changes all of Trigonometry and forces me now to make this book be a "History of True Trigonometry".

The sine and cosine are truly and really Semicircle-Cycloid Waves, and not Semicircle Waves. The difference is that a Cycloid wave is not an up and down wave, but a movement "across" such as this picture ^^^^^^^^^^

Cover Picture: My graphing of a Semicircle-Cycloid Wave atop Harold Jacob's book, 1970, "Mathematics a Human Endeavor", page 293 showing a Pure-Cycloid Wave. A sinusoid wave of Old Math is purely muddle headed wrong trash fiction math.



Product details
• ASIN ‏ : ‎ B07QDG5TH2
• Publication date ‏ : ‎ April 5, 2019
• Language ‏ : ‎ English
• File size ‏ : ‎ 1421 KB
• Text-to-Speech ‏ : ‎ Enabled
• Screen Reader ‏ : ‎ Supported
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• Print length ‏ : ‎ 126 pages
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• Best Sellers Rank: #673,548 in Kindle Store (See Top 100 in Kindle Store)
◦ #31 in Trigonometry (Kindle Store)
◦ #205 in Trigonometry (Books)


#11-3, 52nd published book

When does an equation of math, (or Logic), exist? AP's famous Axiom of Algebra// Math focus series, book 3 Kindle Edition
by Archimedes Plutonium (Author)

When vacationing in Siracusa Sicily in 1999 and buying oranges from a roadside fruit stand and weighing the oranges makes one realize that you cannot have 0 all alone on one side of a equation and still be a math equation.

Then in 2000s, especially 2015 I was writing math textbooks and the issue arose where I was removing all negative numbers out of mathematics. And how that can be done for polynomials. In that removal process, I discovered the now famous Algebra Axiom, that you cannot have a equation of mathematics if the rightside has only 0. Also, you have no math equation if the rightside is a negative number. Also, no equation exists if the rightside is a imaginary number.

The only time you have an equation in mathematics, is when the rightside has a positive, nonzero Decimal Grid Number, all alone by itself. Then you have a math equation that you can work with.

Makes sense in logic, makes sense in physics, that you need some true physical reality on one side of a equation, a balancing beam, and then measure that physical reality by weights or numbers of math on the other side of the equation.

This book is the history of my discovery of the famous Algebra Axiom of Equations of Math.

Cover Picture: an equation is the same as a balancing beam, and you have no equation if you have nothing on the rightside.


Product details
File Size: 1110 KB
Print Length: 36 pages
Simultaneous Device Usage: Unlimited
Publication Date: July 24, 2019
Sold by: Amazon Digital Services LLC
Language: English
ASIN: B07VRVBD91
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Not Enabled  

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#11-4, 73rd published book

Chess Optimal Strategy OS: once and for always // Math focus series, book 4 Kindle Edition
by Archimedes Plutonium (Author)

Last revision was 22-Oct2022, and this is my 73rd published book on science.

Preface: I am happy to announce I finally conquered chess, with solving of its optimal strategy OS, and it is a draw if both players play by the OS. This victory of solving happened on 6 December 2019, as seen below. And then a cheating row broke out in the chess world in late 2022 between Magnus Carlsen and Hans Niemann; accusations of hidden electronics. For which AP sees as the death-knell of chess tournaments of the long time play action and the only worthwhile chess tournaments now are that of speed chess, exclusively speed chess. And the new research into Chess is whether humans are better at Speed Chess than ever can a computer be at speed-chess.

Cover Picture is my favorite chess set because it is magnetic and because the squares are black and white, not a circus of different colors. Somehow my psychological mind is disturbed if the set is green and white, or red and black, really repulsive. But so be it, in a world, even esthetics, to me, has to be logical.


Product details
ASIN ‏ : ‎ B082GS2HW3
Publication date ‏ : ‎ December 7, 2019
Language ‏ : ‎ English
File size ‏ : ‎ 994 KB
Text-to-Speech ‏ : ‎ Enabled
Screen Reader ‏ : ‎ Supported
Enhanced typesetting ‏ : ‎ Enabled
X-Ray ‏ : ‎ Not Enabled
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Print length ‏ : ‎ 259 pages
Amazon Best Sellers Rank: #329,786 Paid in Kindle Store (See Top 100 Paid in Kindle Store)
#692 in Mathematics (Kindle Store)
#143 in Chess (Kindle Store)
#489 in Chess (Books)

#11-5, My 107th published book.

History of 4 Arithmetic-Algebra Axioms// History of why negative-numbers never exist// Math Focus series, book 5
by Archimedes Plutonium (Author) (Amazon's Kindle)

Last revision was 22Jun2021. This was AP's 107th published book on science.

Preface: This is somewhat a history book of math on the subject of arithmetic axioms for which Old Math failed miserably. And their failure cost math, centuries and even millennium of fake math in algebra. So costly was that failure that many minds in mathematics wasted their entire career in mathematics. The peak of stupidity of mathematics in not recognizing these three axioms of Arithmetic-Algebra, that peak of silliness ends with the ever-unprovable Riemann Hypothesis and why that conjecture is a failure of mathematics. I needed to write a entire whole book on just this topic for it affects both math and science in large part. To emphasize how critically important it is to have the primal axioms of arithmetic-algebra in logical order and correctness.

Cover Picture: The 10 Decimal Grid Numbers Coordinate System, all in 1st Quadrant Only for math has no negative numbers. And Descartes started the Coordinate System in 1637, as 1st Quadrant Only, with only one axis, not even two axes.

Product details
File Size: 1151 KB
Print Length: 56 pages
Publication Date: April 1, 2020
Sold by: Amazon.com Services LLC
Language: English
ASIN: B086QBY5TT
Text-to-Speech: Enabled 
X-Ray: 
Not Enabled  

Word Wise: Not Enabled
Lending: Enabled
Screen Reader: Supported 
Enhanced Typesetting: Enabled 

#11-6, 108th published book

New Math's FUNDAMENTAL THEOREM OF ALGEBRA// Math focus series, book 6

by Archimedes Plutonium (Author) (Amazon's Kindle)

Old Math had a Fundamental Theorem of Algebra, abbreviated as FTA, only big problem was, they forgot two critically important axioms of arithmetic for they forgot the subtraction axiom and the "what is a valid equation of mathematics axiom". When you are missing these vital important axioms of arithmetic and mathematics and try to assemble a Fundamental Theorem of Algebra, there is no hope in the world that your FTA is going to be correct without those axioms.

This book is what the true Fundamental Theorem of Algebra, FTA is an what it looks like. This book follows the previous book of this series: Arithmetic-Algebra Axioms// History of why negative-numbers never exist// Math Focus series, book 5. That prior book went into details of 3 axioms that Old Math either missed or severely neglected. For even the idea of having in Old Math the zero alone on the rightside of an equation for a polynomial runs into danger with the axiom of -- no division by zero. For when you demand all valid equations of mathematics have a nonzero positive decimal Grid number all alone by itself on the rightside of the equation. You can thence divide the entire Polynomial equation by that positive nonzero decimal Grid Number and hence, reduce every polynomial in existence to be a equation with 1 on the rightside of the equation, all alone. You cannot do that in a stupid Old Math program of focusing on zero as all alone on the rightside of the equation, which only goes to show, people in Old Math had no brain for reasoning, for they built their polynomial theory on zero, and forgot about a vital axiom that you cannot divide by zero, and you cannot reduce all polynomials to equal 1. People in Old Math went to school and learned the 4 R's-- reading, writing, arithmetic, remember (memorization), but never learned the 5th R-- reasoning.

Cover Picture is a Quintic, a 5th degree polynomial that opened up the case of FTA and what its proof looks like. Photograph picture on my lawn of 5APR2020, for I do so much adore Springtime and green plants. It revitalizes the soul to see plants spring back to life. My Rock Elm are producing seeds and my blackberries soon will explode in growth.


Product details
File Size: 848 KB
Print Length: 47 pages
Publication Date: April 5, 2020
Sold by: Amazon.com Services LLC
Language: English
ASIN: B086SPBM7F
Text-to-Speech: Enabled 
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Not Enabled  

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Lending: Enabled
Screen Reader: Supported 
Enhanced Typesetting: Enabled 

#11-7, 110th published book

World's First One Variable Periodic Functions; utilizing Polynomials such as x^3 -6x^2 +11x = 6 // Math focus series, book 7
by Archimedes Plutonium (Author) (Amazon's Kindle)

While working on the true Fundamental Theorem of Algebra, I ran across amazingly beautiful polynomials that offer science and physics periodic functions of one variable. This is a first in physics and science where we have periodic functions and not be sine or cosine or a trigonometry function, but rather instead a simple polynomial. This is a huge huge revolution in physics and mathematics both for polynomials are the easiest functions to do the calculus upon. For it means we can dismiss and dispel trigonometry functions as periodic and replace all periodic functions with polynomial functions.

Cover Picture is my iphone photograph of one of these remarkable periodic polynomial functions showing a plot of F(x) = x^3 -6x^2 + 11x. I labeled the minor trough keeping in mind that (0,0) is the major trough. If we plot a quartic periodic polynomial, a 4th degree periodic polynomial such as (x-1)(x-2)(x-3)(x-4) we have more up and down wavelets. Plot the 5th degree periodic polynomial (x-1)(x-2)(x-3)(x-4)(x-5) we have even more up and down smooth wavelets.


Product details
File Size: 902 KB
Print Length: 23 pages
Publication Date: April 10, 2020
Sold by: Amazon.com Services LLC
Language: English
ASIN: B086Z93X71
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#11-8, 111th published book

WHY DID OLD MATH fail on the Divisional-Reverse, for they surely had Multiplicative-Inverse but too stupid to have Divisional Reverse // Math focus series, book 8
by Archimedes Plutonium (Author) (Amazon's Kindle)


Funny how the mind seems to converge and focus on a topic that was referred to in other topics ongoing and very much unrelated. For instance in February 2020 I wanted to include Scientific Notation to the common core standards of writing out a number in decimals, as seen in the cover picture of this book. Then in the months of March and April 2020, I was working on dragonflies of the Devonian geological period and needed to know the mass of Earth back in Devonian, which connected me to a number in mathematics called the Divisional-reverse. Then in April, I was doing the physics constants of Planck, Fine-Structure constant and the speed of light constant and for me to solve them again required the Divisional-reverse. So I had a confluence of research topics all needing a mathematical tool called the Divisional-reverse. This book is devoted to that tool of mathematics.

Cover Picture: Is my iphone photograph of a Google search for 5th grade common core standards of what is taught in school about writing out decimal numbers.

Product details
File Size: 1095 KB
Print Length: 56 pages
Publication Date: April 14, 2020
Sold by: Amazon.com Services LLC
Language: English
ASIN: B08742MBLL
Text-to-Speech: Enabled 
X-Ray: 
Not Enabled  

Word Wise: Not Enabled
Lending: Enabled
Screen Reader: Supported 
Enhanced Typesetting: Enabled 



#11-9, 126th published book

Fourier Transform theory overhauled and replaced by Cycloid & Parabola Periodic Polynomials, Math focus series, book 9
by Archimedes Plutonium (Author) (Amazon's Kindle)


Last revision was 18Jan2022. And this is AP's 126th published book of science.
Preface: All functions, true functions of mathematics are polynomials. Anything that is not a polynomial has to be converted into a polynomial before it can be called and treated as a function. This book is the work book of converting all non-polynomials into being transformed into a polynomial and thus a function of mathematics.
Cover Picture: My iphone photograph of a Google search for "cycloid".

Product details
ASIN : B08D5NGQSP
Publication date : July 15, 2020
Language : English
File size : 1109 KB
Text-to-Speech : Enabled
Screen Reader : Supported
Enhanced typesetting : Enabled
X-Ray : Not Enabled
Word Wise : Not Enabled
Print length : 64 pages
Lending : Enabled
Best Sellers Rank: #167,200 in Kindle Store (See Top 100 in Kindle Store)
◦ #16 in 90-Minute Science & Math Short Reads
◦ #23 in Calculus (Kindle Store)
◦ #136 in Calculus (Books)


#11-10, 182nd published book

The Structure and Theory behind Mathematical Induction, and why it works// Math focus
by Archimedes Plutonium (Author) (Amazon's Kindle)


Preface: Shedding new light on Mathematical Induction method of proof. Simplifying and making the method easier. I debated whether to put this in logic science or math science. Finally chose math focus, even though Mathematical Induction has tones of rising above mathematics itself, like a piece of meta-math, even a hint of philosophy. But no, Mathematical Induction is down to earth mathematics.
And the cause of this book was my prior book on showing that the torus volume was related to the donut hole of that specific torus, related by the golden ratio number phi = 1.61.... and all its variants. My proof of that relationship was a proof by Mathematical Induction. And in so doing that proof, I saw I needed to fill in huge gaps and holes in Old Math and its Mathematical Induction. For the Mathematical Induction presented in this book, overpowers Old Math's Mathematical Induction. Far more easy, far more comprehensible, far easier to understand, and to apply.
Cover Picture: Is the full Decimal 10 Grid Number System and next to it is a partial listing of the 100 Grid. One can easily see that the 10 Grid is inside the 100 Grid and any further larger Grid System contains all the lower grid systems. So this is Mathematical Induction of the very existence of numbers themselves.



Product details
• ASIN ‏ : ‎ B09XX7DTC9
• Publication date ‏ : ‎ April 13, 2022
• Language ‏ : ‎ English
• File size ‏ : ‎ 828 KB
• Text-to-Speech ‏ : ‎ Enabled
• Screen Reader ‏ : ‎ Supported
• Enhanced typesetting ‏ : ‎ Enabled
• X-Ray ‏ : ‎ Not Enabled
• Word Wise ‏ : ‎ Not Enabled
• Print length ‏ : ‎ 75 pages
• Lending ‏ : ‎ Enabled



#11-11, 200th published book

Primes are ILL defined in Mathematics // Math focus
by Archimedes Plutonium (Author) (Amazon's Kindle)

Preface: AP's 200th book of science// Primes are ILL defined in Mathematics // Math focus by Archimedes Plutonium.

A shame that Galois invented Groups, Ring,Field over the nonsense of quintic. But by 1830 in math history, it was not known that a Well Defined Equation of math had to have a positive nonzero number to the rightside of the equation at all times, and never be zero. Because the moment you do that, there never arises a problem of quintic.

And what Galois should have done with his time, was reason that groups rings and fields need to be invented for the purpose of a Well Defined Operator in mathematics.

It should not be AP that corrects all of Algebra of mathematics, but it should have been Galois or Gauss or Riemann to have done that by 1830.

Prime concept is a hallucination of Old Math. Ask any physicist where does the concept of prime arise in physics? It never does, and the reason being is mathematicians are kooks in defining prime.

Sure, mathematicians have known for centuries that primes have No Pattern, have No Formula. But you would then expect at least one marble of brain power from these mathematicians to notice that if No Pattern, No Formula, that something is wrong with the definition of primes.

What is wrong in the definition? It is simple and tells us why primes have no pattern, have no formula. To be Well Defined Operator, a operator must obey N#M = P where # is the operator (in our case, division) and N,M,P must be Counting Numbers to be well defined. So in other words a Well Defined operator over a set of numbers, must deliver to you when you operate N#M, must deliver to you another Counting Number P. Primes of Old Math only sometimes obeys that axiom of well defined. And, immediately we have numbers outside of Counting Numbers such as 1/2, 1/3, 2/3, etc etc.

Cover Picture: Is my photograph of my hand written formula of Well Defined Operator N # M = P. The N,M,P represent numbers from a given set. The symbol # represents the operator. A operator is well defined if all N,M,P are inside the given set. The operator is ILL defined if some P are not inside the original set.

Product details
• ASIN ‏ : ‎ B0BB6PWW2B
• Publication date ‏ : ‎ August 18, 2022
• Language ‏ : ‎ English
• File size ‏ : ‎ 384 KB
• Text-to-Speech ‏ : ‎ Enabled
• Screen Reader ‏ : ‎ Supported
• Enhanced typesetting ‏ : ‎ Enabled
• X-Ray ‏ : ‎ Not Enabled
• Word Wise ‏ : ‎ Enabled
• Print length ‏ : ‎ 64 pages
• Lending ‏ : ‎ Enabled


#11-12, 228th published book

Brief History of *True Calculus*--including new integration methods / math focus

by Archimedes Plutonium (Author) (Amazon's Kindle)

Last revision was March 2023. And this is AP's 228th published book of science.

Preface: AP as a teenager had a wish at University in 1969-- to make all of calculus as easy as the Power Rules over polynomial functions. And by 2015, AP's wish came true. For calculus really is easy math, as easy as add, subtract, multiply and divide. But only when people see the light of day about calculus. And where math professors stop chasing fame and fortune in publishing nonsense and spend more time teaching better in classrooms and making calculus be easy.

The history of True Calculus is far different from that which is written in math history books. True Calculus requires a true valid geometry proof of Fundamental Theorem of Calculus, which none was ever given until 2015. Once a geometry proof of FTC arrived, can we write a true history of calculus. The Old Math history of calculus is filled with error and fake science such as the "limit concept", the concept of "continuity". And where Old Math never even had a proper well defined "function" concept. No wonder Old Math history of calculus is trash. AP provides a brief history of True Calculus. But while studying this subject, AP has new insights into the right-circular-cone. And a new method of integration of varying sized circles over a distance length.


Cover Picture: My iphone photograph of a Wikipedia entry of Cavalieri quadrature formula (area formula) that was so critical in Calculus history for it is the formula of integrals under the function graph curve for polynomial functions. Cavalieri's discovery of the Power Rule for integrals marks the beginning of modern day calculus.



Product details
• ASIN ‏ : ‎ B0BXJ4RRZR
• Publication date ‏ : ‎ March 4, 2023
• Language ‏ : ‎ English
• File size ‏ : ‎ 646 KB
• Text-to-Speech ‏ : ‎ Enabled
• Screen Reader ‏ : ‎ Supported
• Enhanced typesetting ‏ : ‎ Enabled
• X-Ray ‏ : ‎ Not Enabled
• Word Wise ‏ : ‎ Not Enabled
• Sticky notes ‏ : ‎ On Kindle Scribe
• Print length ‏ : ‎ 50 pages


#11-13, 233rd published book


Utter garbage of Cantor's work on infinity especially the diagonal method// math focus
by Archimedes Plutonium (Author) (Amazon's Kindle)

Preface: So much of the Usenet newsgroup sci.math are discussions concerning why 0.9999... should equal 1 or about infinity and specifically Cantor's work with his diagonal method. I thought the time is ripe for me to write a independent book on why and how Cantor was wrong, and to lay the subject to rest. For the flaws of logical reasoning in infinity discussions are really abominable and abysmal and deserves an entire book of clarity packed with simple reasoning.

It amazes me how resembling is the science of geography with borderlines makes clear what countries there are, yet the borderline concept was so foreign to all mathematicians until AP discovered the infinity borderline starting 2009.


Cover Picture: My iphone photograph of two world globes showing countries with borderlines. Borderlines are beacons of clarity from one concept as it transitions into a newer concept.


Product details
• ASIN ‏ : ‎ B0BZLZ9WY1
• Publication date ‏ : ‎ March 24, 2023
• Language ‏ : ‎ English
• File size ‏ : ‎ 743 KB
• Text-to-Speech ‏ : ‎ Enabled
• Screen Reader ‏ : ‎ Supported
• Enhanced typesetting ‏ : ‎ Enabled
• X-Ray ‏ : ‎ Not Enabled
• Word Wise ‏ : ‎ Not Enabled
• Sticky notes ‏ : ‎ On Kindle Scribe
• Print length ‏ : ‎ 40 pages


#11-14, 160th published book

MATHOPEDIA-- List of 82 fakes and mistakes of Old Math// mathematics & logic
by Archimedes Plutonium (Author) (Amazon's Kindle)

Preface:
A Mathopedia is like a special type of encyclopedia on the subject of mathematics. It is about the assessment of the worth of mathematics and the subject material of mathematics. It is a overall examination and a evaluation of mathematics and its topics.

The ordering of Mathopedia is not a alphabetic ordering, nor does it have a index. The ordering is purely that of importance at beginning and importance at end.

The greatest use of Mathopedia is a guide to students of what not to waste your time on and what to focus most of your time. I know so many college classes in mathematics are just a total waste of time, waste of valuable time for the class is math fakery. I know because I have been there.

Now I am going to cite various reference sources of AP books if anyone wants more details and can be seen in the Appendix at the end of the book.

I suppose, going forward, mathematics should always have a mathopedia, where major parts of mathematics as a science are held under scrutiny and question as to correctness. In past history we have called these incidents as "doubters of the mainstream". Yet math, like physics, can have no permanent mainstream, since there is always question of correctness in physics, there then corresponds questions of correctness in mathematics (because math is a subset of physics). What I mean is that each future generation corrects some mistakes of past mathematics. If anyone is unsure of what I am saying here, both math and physics need constant correcting, of that which never belonged in science. This then converges with the logic-philosophy of Pragmatism (see AP's book of logic on Pragmatism).

Product details
• ASIN ‏ : ‎ B09MZTLRL5 and ASIN ‏ : ‎ B09ZWFLKHC
• Publication date ‏ : ‎ December 2, 2021
• Language ‏ : ‎ English
• File size ‏ : ‎ 1155 KB
• Text-to-Speech ‏ : ‎ Enabled
• Screen Reader ‏ : ‎ Supported
• Enhanced typesetting ‏ : ‎ Enabled
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• Print length ‏ : ‎ 70 pages
• Lending ‏ : ‎ Enabled




y z
| /
| /
|/______ x

Read my recent posts in peace and quiet.
https://groups.google.com/forum/?hl=en#!forum/plutonium-atom-universe
Archimedes Plutonium


AP kindly asks Google to let AP run all three, sci.math, sci.physics, PAU as he runs PAU, now--- all pure science, no spam and no govt b.s.

PAU newsgroup is this.
https://groups.google.com/forum/?hl=en#!forum/plutonium-atom-universe
Archimedes Plutonium




#12-1, My 3rd published book

AP's Proof-Ellipse was never a Conic Section // Math proof series, book 1
by Archimedes Plutonium (Author) (Amazon's Kindle)

Ever since Ancient Greek Times it was thought the slant cut into a cone is the ellipse. That was false. For the slant cut in every cone is a Oval, never an Ellipse. This book is a proof that the slant cut is a oval, never the ellipse. A slant cut into the Cylinder is in fact a ellipse, but never in a cone.

Product details
• ASIN ‏ : ‎ B07PLSDQWC
• Publication date ‏ : ‎ March 11, 2019
• Language ‏ : ‎ English
• File size ‏ : ‎ 1621 KB
• Text-to-Speech ‏ : ‎ Enabled
• Enhanced typesetting ‏ : ‎ Enabled
• X-Ray ‏ : ‎ Not Enabled
• Word Wise ‏ : ‎ Not Enabled
• Print length ‏ : ‎ 20 pages
• Lending ‏ : ‎ Enabled



Proofs Ellipse is never a Conic section, always a Cylinder section and a Well Defined Oval definition//Student teaches professor series, book 5 Kindle Edition
by Archimedes Plutonium (Author)

Last revision was 14May2022. This is AP's 68th published book of science.

Preface: A similar book on single cone cut is a oval, never a ellipse was published in 11Mar2019 as AP's 3rd published book, but Amazon Kindle converted it to pdf file, and since then, I was never able to edit this pdf file, and decided rather than struggle and waste time, decided to leave it frozen as is in pdf format. Any new news or edition of ellipse is never a conic in single cone is now done in this book. The last thing a scientist wants to do is wade and waddle through format, when all a scientist ever wants to do is science itself. So all my new news and thoughts of Conic Sections is carried out in this 68th book of AP. And believe you me, I have plenty of new news.

In the course of 2019 through 2022, I have had to explain this proof often on Usenet, sci.math and sci.physics. And one thing that constant explaining does for a mind of science, is reduce the proof to its stripped down minimum format, to bare bones skeleton proof. I can prove the slant cut in single cone is a Oval, never the ellipse in just a one sentence proof. Proof-- A single cone and oval have just one axis of symmetry, while a ellipse requires 2 axes of symmetry, hence slant cut is always a oval, never the ellipse.

Product details
• ASIN ‏ : ‎ B081TWQ1G6
• Publication date ‏ : ‎ November 21, 2019
• Language ‏ : ‎ English
• File size ‏ : ‎ 827 KB
• Simultaneous device usage ‏ : ‎ Unlimited
• Text-to-Speech ‏ : ‎ Enabled
• Screen Reader ‏ : ‎ Supported
• Enhanced typesetting ‏ : ‎ Enabled
• X-Ray ‏ : ‎ Not Enabled
• Word Wise ‏ : ‎ Not Enabled
• Print length ‏ : ‎ 51 pages
• Lending ‏ : ‎ Enabled

#12-2, My 11th published book

World's First Geometry Proof of Fundamental Theorem of Calculus// Math proof series, book 2 Kindle Edition
by Archimedes Plutonium (Author)

Last revision was 15Dec2021. This is AP's 11th published book of science.
Preface:
Actually my title is too modest, for the proof that lies within this book makes it the World's First Valid Proof of Fundamental Theorem of Calculus, for in my modesty, I just wanted to emphasis that calculus was geometry and needed a geometry proof. Not being modest, there has never been a valid proof of FTC until AP's 2015 proof. This also implies that only a geometry proof of FTC constitutes a valid proof of FTC.

Calculus needs a geometry proof of Fundamental Theorem of Calculus. But none could ever be obtained in Old Math so long as they had a huge mass of mistakes, errors, fakes and con-artist trickery such as the "limit analysis". And very surprising that most math professors cannot tell the difference between a "proving something" and that of "analyzing something". As if an analysis is the same as a proof. We often analyze various things each and every day, but few if none of us consider a analysis as a proof. Yet that is what happened in the science of mathematics where they took an analysis and elevated it to the stature of being a proof, when it was never a proof.

To give a Geometry Proof of Fundamental Theorem of Calculus requires math be cleaned-up and cleaned-out of most of math's mistakes and errors. So in a sense, a Geometry FTC proof is a exercise in Consistency of all of Mathematics. In order to prove a FTC geometry proof, requires throwing out the error filled mess of Old Math. Can the Reals be the true numbers of mathematics if the Reals cannot deliver a Geometry proof of FTC? Can the functions that are not polynomial functions allow us to give a Geometry proof of FTC? Can a Coordinate System in 2D have 4 quadrants and still give a Geometry proof of FTC? Can a equation of mathematics with a number that is _not a positive decimal Grid Number_ all alone on the right side of the equation, at all times, allow us to give a Geometry proof of the FTC?

Cover Picture: Is my hand written, one page geometry proof of the Fundamental Theorem of Calculus, the world's first geometry proof of FTC, 2013-2015, by AP.


Product details
ASIN ‏ : ‎ B07PQTNHMY
Publication date ‏ : ‎ March 14, 2019
Language ‏ : ‎ English
File size ‏ : ‎ 1309 KB
Text-to-Speech ‏ : ‎ Enabled
Screen Reader ‏ : ‎ Supported
Enhanced typesetting ‏ : ‎ Enabled
X-Ray ‏ : ‎ Not Enabled
Word Wise ‏ : ‎ Not Enabled
Print length ‏ : ‎ 154 pages
Lending ‏ : ‎ Enabled
Amazon Best Sellers Rank: #128,729 Paid in Kindle Store (See Top 100 Paid in Kindle Store)
#2 in 45-Minute Science & Math Short Reads
#134 in Calculus (Books)
#20 in Calculus (Kindle Store)


#12-3, My 24th published book


World's First Proof of Kepler Packing Problem KPP // Math proof series, book 3
by Archimedes Plutonium (Author) (Amazon's Kindle)

There has been a alleged proof of KPP by Thomas Hales, but his is a fakery because he does not define what infinity actually means, for it means a borderline between finite and infinite numbers. Thus, KPP was never going to be proven until a well-defined infinity borderline was addressed within the proof. And because infinity has a borderline means that in free space with no borderlines to tackle and contend with, the 12 kissing point density that is the hexagonal close packed is the maximum density. But the truth and reality of Kepler Packing is asking for maximum packing out to infinity. That means you have to contend and fight with the packing of identical spheres up against a wall or border. And so, in tackling that wall, we can shift the hexagonal closed pack to another type of packing, a hybrid type of packing in order to get "maximum packing". So no proof ever of KPP is going to happen unless the proof tackles a infinity border wall. In free-space, a far distance away from a wall barrier of infinity border, then, hexagonal closed pack reigns and is the packing in all of free space-- but, the moment the packing gets nearby the walls of infinity border, then, we re-arrange the hexagonal closed pack to fit in more spheres. Not unlike us packing a suitcase and then rearranging to fit in more.

Cover picture: is a container and so the closed packing must be modified once the border is nearly reached to maximize the number of spheres.

Product details
• ASIN ‏ : ‎ B07NMV8NQQ
• Publication date ‏ : ‎ March 20, 2019
• Language ‏ : ‎ English
• File size ‏ : ‎ 1241 KB
• Text-to-Speech ‏ : ‎ Enabled
• Screen Reader ‏ : ‎ Supported
• Enhanced typesetting ‏ : ‎ Enabled
• X-Ray ‏ : ‎ Not Enabled
• Word Wise ‏ : ‎ Not Enabled
• Print length ‏ : ‎ 60 pages
• Lending ‏ : ‎ Enabled

#12-4, My 28th published book

World's First Valid Proof of 4 Color Mapping Problem// Math proof series, book 4
by Archimedes Plutonium (Author) (Amazon's Kindle)

Now in the math literature it is alleged that Appel & Haken proved this conjecture that 4 colors are sufficient to color all planar maps such that no two adjacent countries have the same color. Appel & Haken's fake proof was a computer proof and it is fake because their method is Indirect Nonexistence method. Unfortunately in the time of Appel & Haken few in mathematics had a firm grip on true Logic, where they did not even know that Boole's logic is fakery with his 3 OR 2 = 5 with 3 AND 2 = 1, when even the local village idiot knows that 3 AND 2 = 5 with 3 OR 2 = either 3 or 2 depending on which is subtracted. But the grave error in logic of Appel & Haken is their use of a utterly fake method of proof-- indirect nonexistence (see my textbook on Reductio Ad Absurdum). Wiles with his alleged proof of Fermat's Last Theorem is another indirect nonexistence as well as Hales's fake proof of Kepler Packing is indirect nonexistence.
Appel & Haken were in a time period when computers used in mathematics was a novelty, and instead of focusing on whether their proof was sound, everyone was dazzled not with the logic argument but the fact of using computers to generate a proof. And of course big big money was attached to this event and so, math is stuck with a fake proof of 4-Color-Mapping. And so, AP starting in around 1993, eventually gives the World's first valid proof of 4-Color-Mapping. Sorry, no computer fanfare, but just strict logical and sound argument.

Cover picture: Shows four countries colored yellow, red, green, purple and all four are mutually adjacent. And where the Purple colored country is landlocked, so that if it were considered that a 5th color is needed, that 5th color should be purple, hence, 4 colors are sufficient.

Product details
ASIN ‏ : ‎ B07PZ2Y5RV
Publication date ‏ : ‎ March 23, 2019
Language ‏ : ‎ English
File size ‏ : ‎ 1183 KB
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#12-5, My 6th published book

World's First Valid Proofs of Fermat's Last Theorem, 1993 & 2014 // Math proof series, book 5 Kindle Edition
by Archimedes Plutonium (Author) (Amazon's Kindle)

Last revision was 29Apr2021. This is AP's 6th published book.

Preface: Truthful proofs of Fermat's Last Theorem// including the fake Euler proof in exp3 and Wiles fake proof.

Recap summary: In 1993 I proved Fermat's Last Theorem with a pure algebra proof, arguing that because of the special number 4 where 2 + 2 = 2^2 = 2*2 = 4 that this special feature of a unique number 4, allows for there to exist solutions to A^2 + B^2 = C^2. That the number 4 is a basis vector allowing more solutions to exist in exponent 2. But since there is no number with N+N+N = N*N*N that exists, there cannot be a solution in exp3 and the same argument for higher exponents. In 2014, I went and proved Generalized FLT by using "condensed rectangles". Once I had proven Generalized, then Regular FLT comes out of that proof as a simple corollary. So I had two proofs of Regular FLT, pure algebra and a corollary from Generalized FLT. Then recently in 2019, I sought to find a pure algebra proof of Generalized FLT, and I believe I accomplished that also by showing solutions to Generalized FLT also come from the special number 4 where 2 + 2 = 2^2 = 2*2 = 4. Amazing how so much math comes from the specialness of 4, where I argue that a Vector Space of multiplication provides the Generalized FLT of A^x + B^y = C^z.

Cover Picture: In my own handwriting, some Generalized Fermat's Last Theorem type of equations.

As for the Euler exponent 3 invalid proof and the Wiles invalid FLT, both are missing a proof of the case of all three A,B,C are evens (see in the text).

Product details
• ASIN ‏ : ‎ B07PQKGW4M
• Publication date ‏ : ‎ March 12, 2019
• Language ‏ : ‎ English
• File size ‏ : ‎ 1503 KB
• Text-to-Speech ‏ : ‎ Enabled
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• Print length ‏ : ‎ 156 pages
• Best Sellers Rank: #4,327,817 in Kindle Store (See Top 100 in Kindle Store)
◦ #589 in Number Theory (Kindle Store)
◦ #3,085 in Number Theory (Books)


#12-6, 19th published book

World's First Proof of Collatz Conjecture// Math proof series, book 6
by Archimedes Plutonium (Author) (Amazon's Kindle)

Last revision was 14May2022. This is AP's 19th published book.

Preface: Old Math's Collatz conjecture, 1937, was this: If you land on an even number, you divide by 2 until you come to an odd number. If you come to or land on an odd number, you do a 3N+1 then proceed further. The conjecture then says that no matter what number you start with, it ends up being 1.

What the Collatz proof of math tells us, is that so very often mathematicians pose a conjecture in which their initial formulation of the conjecture is murky, obfuscation and poorly designed statement. Such poorly designed statements can never be proven true or false. An example that comes to mind of another poorly designed conjecture is the No Odd Perfect Conjecture, in which the statement is obfuscation of factors. So for the odd number 9, is it 1+3, or is it 1+ 3 + 3. So when a mathematics conjecture is full of obfuscation and error in the statement, then these type of conjectures never have a proof. And takes a person with a logical mind to fix and straighten out the conjecture statement and then provide a proof, thereof.

A return to my Collatz proof in 2022, allowed me a second proof of Collatz with only 3N+1, in a mathematical induction proof, using the Decimal Grid System of Numbers. The true numbers of mathematics are the Decimal Grid System Numbers and this allows a Collatz proof of stand alone 3N+1.

Cover picture: when I think of Collatz, I think of a slide, a slide down and so my French curve is the best slide I can think of, other than a slide-ruler, but a slide ruler is slide across.


Product details
• ASIN ‏ : ‎ B07PS98K5H
• Publication date ‏ : ‎ March 16, 2019
• Language ‏ : ‎ English
• File size ‏ : ‎ 1990 KB
• Text-to-Speech ‏ : ‎ Enabled
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• Print length ‏ : ‎ 113 pages
• Lending ‏ : ‎ Enabled
• Best Sellers Rank: #212,131 in Kindle Store (See Top 100 in Kindle Store)
◦ #4 in 45-Minute Science & Math Short Reads
◦ #9 in Number Theory (Kindle Store)
◦ #32 in Number Theory (Books)




#12-7, My 20th published book
World's First Proofs that No Perfect Cuboid Exists// Math proof series, book 7
by Archimedes Plutonium (Author) (Amazon's Kindle)

Someone on the Internet posed the unproven No Perfect Cuboid, and so I took up the challenge. I am usually a sucker for geometry riddles, more so than number theory. So I obliged. Then by 2014 I proved the matter and looking back at it now in 2019, I really really do not see what all the fuss was about-- that it was not that hard not hard at all. You just have to look carefully at sets of 4 right triangles and find an Impossibility Construction, why you cannot have those 4 right triangles all with positive integer numbers for their 3 sides. But the proof method is so hugely important in math-- impossibility of construction. And, please, do not confuse that method with Reductio Ad Absurdum, for RAA is not a valid proof method in mathematics (see my logic book on RAA). But, the method of Impossible Construction, although it might look like RAA, is totally different and fully valid in all aspects.

But now, in hindsight in March 2019, writing this up, I see a very close connection of No Perfect Cuboid to that of Generalized Fermat's Last Theorem with its equation of A^x + B^y = C^z and the way I proved Generalized FLT was with "condensed rectangles" and the No Perfect Cuboid is a 3rd Dimension object but it is 4 rectangles of 4 right triangles we inspect. And we can pursue that connection between Generalized FLT and No Perfect Cuboid further, but not now.

Cover Picture: Is that of 4 rectangular boxes, 2 of which are cubes sitting atop a book page of the Cubic Set for the Transuranium Atoms, from the textbook "The Elements Beyond Uranium" , Seaborg, Loveland, 1990. I am always looking for connections.


Product details
• ASIN ‏ : ‎ B07PMZQNNT
• Publication date ‏ : ‎ March 16, 2019
• Language ‏ : ‎ English
• File size ‏ : ‎ 1382 KB
• Text-to-Speech ‏ : ‎ Enabled
• Screen Reader ‏ : ‎ Supported
• Enhanced typesetting ‏ : ‎ Enabled
• X-Ray ‏ : ‎ Not Enabled
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• Print length ‏ : ‎ 61 pages
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AP kindly asks Google to let AP run all three, sci.math, sci.physics, PAU as he runs PAU, now--- all pure science, no spam and no govt b.s.

PAU newsgroup is this.
https://groups.google.com/forum/?hl=en#!forum/plutonium-atom-universe
Archimedes Plutonium
Archimedes Plutonium
2024-02-20 06:21:15 UTC
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AP's 278th book of science starts a series on Experiments of Science that need a Logic- OverView of mistakes, grave errors and simple stupidity of reasoning starting with Magnetism.
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Archimedes Plutonium
Feb 17, 2024, 6:03:00 PM (2 days ago)

AP's 278-289th books of science on correcting and chronicling famous experiments of science. I
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Archimedes Plutonium
Feb 17, 2024, 6:17:45 PM (2 days ago)

I was fed up with the Old Physics, Old Chemistry community of do-nothing error filled professors who
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Archimedes Plutonium
Feb 17, 2024, 7:37:58 PM (2 days ago)

The Chronicling list keeps going and hopefully I will not forget any important experiment in the next
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Archimedes Plutonium
Feb 17, 2024, 8:09:07 PM (2 days ago)

On Saturday, February 17, 2024 at 7:37:58 PM UTC-6 Archimedes Plutonium wrote: The Chronicling list
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Archimedes Plutonium
Feb 17, 2024, 9:21:31 PM (2 days ago)

List keeps growing, but nothing is more important to science than Experiment, experiment and more
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Feb 17, 2024, 10:30:54 PM (2 days ago)

On Saturday, February 17, 2024 at 9:21:31 PM UTC-6 Archimedes Plutonium wrote: List keeps growing,
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Feb 17, 2024, 11:00:02 PM (2 days ago)

Chronology Ancient Greek magnetism-- Lodestone. And also considering a new form of magnetism in
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Feb 18, 2024, 3:03:38 AM (2 days ago)



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The list keeps growing bigger. I need my new insights into what superconductivity actually is, and it comes directly out of the Faraday law of Maxwell Equations which Feynman talked about the conundrum of 2 phenomenon. Where I get the sine of an angle of thrust. If the sine is that of 90 degrees I have the full current with no resistance as superconductivity. In other words, the pencil ellipse becomes straightline perpendicularity allowing for superconductivity. This is really really exciting for it also is the most beautiful explanation of the 4 seasons, why we have winter cold and summer hot and in between. All due to sine of angle that the Sun rays hit Earth. We can demonstrate this easily in front of a heater. If I hold me hand perpendicular, the most heat is felt. If I hold my hand at an angle only a fraction of the heat is felt. If I hold my hand on edge to the heater almost no heat is felt.

In this series of books I need to outline what Fallacy of Logic the mistakes that were made. For instance the fallacy of logic for the mistakes on the Faraday law is that the Maxwell Equations should all come from New Ohm's law, all four laws coming out of New Ohm's law and not each made up helter skelter. See AP's Teaching True Physics.


On Saturday, February 17, 2024 at 11:00:02 PM UTC-6 Archimedes Plutonium wrote:

Chronology

Ancient Greek magnetism-- Lodestone. And also considering a new form of magnetism in recent news.

Ben Franklin kite flying in lightning storm 1700s

Jan Deiman- Adrian van Troostwijk, 1778 water electrolysis. Here I should include the history that two of the most famous scientists did water electrolysis-- Davy and Faraday, but both can be excused because a weighing scale of the accuracy needed was never available in the early 1800s to weigh the masses of hydrogen to oxygen. It is after precision scales were made that chemists and physicists became fools and derelict of duty.


Cavendish Gravity Constant experiment 1798.

Double Slit Experiment 1801 with Thomas Young.

Ohm's law 1827.



1845-1860s Neumann- Maxwell the formal math laws of Faraday magnetic induction to produce electricity from thrusting magnetic field.

Two phenomena
Faraday's law is a single equation describing two different phenomena: the motional emf generated by a magnetic force on a moving wire (see the Lorentz force), and the transformer emf generated by an electric force due to a changing magnetic field (described by the Maxwell–Faraday equation).
James Clerk Maxwell drew attention to this fact in his 1861 paper On Physical Lines of Force. In the latter half of Part II of that paper, Maxwell gives a separate physical explanation for each of the two phenomena.
A reference to these two aspects of electromagnetic induction is made in some modern textbooks. As Richard Feynman states:
So the "flux rule" that the emf in a circuit is equal to the rate of change of the magnetic flux through the circuit applies whether the flux changes because the field changes or because the circuit moves (or both) ...
Yet in our explanation of the rule we have used two completely distinct laws for the two cases – v × B for "circuit moves" and ∇ × E = −∂tB for "field changes".
We know of no other place in physics where such a simple and accurate general principle requires for its real understanding an analysis in terms of two different phenomena.
— Richard P. Feynman, The Feynman Lectures on Physics

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Feb 18, 2024, 5:18:31 PM (2 days ago)



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Alright, I need to make a Experiment myself, a world class experiment probably far more important than any on those long list below. The experiment involves heat and Light Waves and electricity and magnetism and why we have winter and summer. We are taught this lesson in Junior High School science but taught sloppily, never well enough that we can remember the cause of winter. For the complexity of the science involved makes teaching this subject difficult.

And it is this complexity of science that has evaded our understanding of Superconductivity. For if we analyzed how Sun Light Waves heat Earth, we can understand how superconductivity happens and why it exists. But first--- the full explanation of Winter.

We know from Junior High School that the tilt on axis of Earth is the cause of the 4 seasons, but we rarely are taught the particular details of how this occurs. So I want to make a Experimental Model.

And several Models.

The first model is on a cold wintry day, you have a space heater-- a warm electric heater with grill fins in between and you put your hands between the fins to instantly warm them. Now you have your hand and fingers perpendicular to the grill fins to get the most heat. But now you tilt your fingers and hands and you feel less and less heat.

Now we shift to the AP Model Experiment of the entire Globe of Earth and we use a package of new pencils, of 4 by 4 or 16 pencils in all in a plastic package. We pretend each pencil is a Light Wave from the Sun as heat. Now if those 16 pencils hits directly overhead on Earth would maximize density of 16 and that spot on Earth would be the hottest that day. But now those same 16 heading for a northern latitude on Earth in Winter has to contend with the curvature of Earth itself, but also has to contend with a axis tilt of Earth by 23 degrees. So we have a multitude of variables that we cannot use a simple math of a trigonometry function.

So on the Equator, all 16 pencil tips would hit the Equator with maximum density and all impacts would impart their total energy in the form of heat, and the Equator is really hot in this direct hit. But the polar region in winter, of those 16 pencils as Sun heat Light Waves, how many impact directly? How many impact at an angle?

Hard to believe, but the explanation of why summer and winter is this analysis but also; how Superconductivity works.

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Feb 18, 2024, 10:11:33 PM (2 days ago)



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AP's Model of why Earth has Winters and Summers, due to Earth as sphere and tilt of axis 23 degrees.

So I get out the box of 16 pencils and pretend they are Sun Light Waves each. When they strike land in the tropics they come in packed maximum density 4 by 4 for a surface area of 16. Now when those same 16 Light Waves strike the Polar Region because the surface of Earth is curved, the curvature of Earth, plus the tilt in axis in winter of 23 degrees we have a different situation where the 16 light waves are spread out and hit Earth in a area of 16 by 16 = 256.

Now let us do this Model in Celsius. A typical tropical temperature would be 25 Celcius. So we have a ratio of this.

256 25Celsius
------- ---------------
16 XCelsius

Solving the ratio we have 256X = 400 Celsius
X the polar temperature is thus 400/256 = 1.5 Celsius, just shy of water freezing.

A similar model relates to the Faraday law as we thrust a bar magnet through a coil. But what if the bar magnet is at a slant to the coil perpendicular? Then we have to factor a fractional electric current production.

Now how does this relate to superconductivity? We see in a capacitor or battery as holding static electric current because the plates are perpendicular to the current held. If we short circuit the battery, all the current rushes out with superconduction, and no loss of electricity. If the capacitor or battery are not perfectly perpendicular then the current inside gradually wear away as internal heat. The cold temperatures needed to create superconductivity is to make all the plates perpendicular. For as the electricity is moving around inside the capacitor or battery it needs to keep hitting the walls perpendicular. Back to the Model, by perpendicular hitting of the walls or bouncing off the walls, all 16 of the Light Waves or electric current monopoles hit the walls as a maximum density of 16, none are thinned out into 256. (Sort of reminds me of Snell's law that the bent light means resistance and loss of electric current.)

More later.....

AP, King of Science
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Feb 19, 2024, 1:33:41 AM (23 hours ago)



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Superconductivity is much like Snell's law of optics, only with angle of incidence equals angle of reflection of a 90 degree angle in, and 90 degree angle out. Like a mirror reflection where none of the electric waves get absorbed while inside the capacitor or battery. Where roundness is turning into straightline geometry of rectangles. As the waves of electric current keep reflecting off the walls at 90 degrees.

In fact the Snell's law of Old Physics is rather a waste of time to study for although we can see the rays moving in and out of a block of glass to air and vice versa, where Snell's law is really important is Sun Light Waves striking Earth and how much of those waves warm Earth, and how magnetic lines of force in bar magnet thrust through coil in Faraday law goes to making electric current, or how much a battery can store electric current by having the electricity strike the parallel plates at 90 degrees where they are reflected back with no resistance.

So superconductivity is the most important phenomenon of Light Waves striking at 90 degrees in Snell's law. Much like the image in a mirror is 90 degree reflections, energy in equals energy out.

My 270th book of science talks of superconductivity and its prevalence in biology. However I never made a mathematical formula in that book, and hope to by discussing this topic now.

--- quoting my 270th book of science ---


2nd Law of Thermodynamics is connected to Superconductivity-- Explained as New Ohm's Law// Physics research

by Archimedes Plutonium


Preface: When I went to college 1968-72 and studied physics and math, I learned thermodynamics as a major branch of physics. It was only recently in 2023-24 that I began to see a different picture of thermodynamics. That every major band width of the Electromagnetic Spectrum, radio, microwave, infrared, visible light, ultraviolet, soft x-rays, hard x-rays, gamma rays, did the realization come to me that thermodynamics is merely a detailed study of one of those band widths-- infrared band of the EM Spectrum. Up until now, I had thought thermodynamics was a physics study that stood out from other branches of physics. But no, thermodynamics is a minor part of the EM Spectrum. And as much as thermodynamics enjoys its status as a major branch of physics, we must realize, that radio wave band is another branch just as important as thermodynamics infrared band. And the other bands -- microwave, visible, ultraviolet, soft and hard x-rays, gamma rays all should have a branch of physics study as does thermodynamics infrared band.

Cover picture: Is my iphone photograph of a Google search for "Right-Hand-Rule" which very much defines the New Ohm's Law and 2nd law of thermodynamics and expresses the meaning of vector dot product and vector cross product.


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Feb 19, 2024, 4:36:34 PM (8 hours ago)



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The mathematical law governing superconductivity is a extremely simple law, one of the most simple in all of physics, perhaps the rock-bottom most simple law of physics-- Snell's law, the law of reflection.

angle theta_1 equals angle theta_2 Law of Reflection

index_1* sine angle theta_1 = index_2* sine angle theta_2 Law of Refraction

When I learned Snell's law in High School Physics, my reaction in my mind was that of "what is all the fuss about"?

When I went to University a year or two later and seeing Snell's law again, my reaction was again-- "And this is a law of physics, seems like it has no meat on its bones, unlike gravity or Coulomb law."

And now I understand why Snell's law is impoverished of meaning, impoverished of depth and meaning. For it is not the full law until you recognize it is missing Superconductivity.

Superconductivity is inside of Snell's laws of Optics, where the sine angle is 90 degrees or its inverse 0 degrees for cosine angle and both come to a value of 1. All the electricity inside a battery or capacitor is released and no electricity is lost to resistance when you multiply by 1.

--- quoting excerpts from a recent book I wrote, my 271st book of science ---
Recalibrating physics units to one another, Calculus derivative, velocity, New Ohm's law // physics-math

by Archimedes Plutonium

Preface: A mystery paradox exists between math calculus and physics, in that math has just 3 dimensions for its maximum geometry description-- which is volume, yet physics maximum description of energy as in kinetic energy has just 2 dimensions of mass times meters^2/seconds^2. This is a paradox if left unresolved. This book aims to solve the mystery so that both physics energy and math volume are both 3rd dimension. And what results in this mystery solving is a recalibration of all the units of physics.


Cover Picture: My photograph of several important Physics units of Linear momentum and its derivative with respect to time is Force, while Angular momentum derivative with respect to time is Energy. Notice especially in this photograph of a computer screen at an angle. For I am able to get what looks like a graphing of what a graph paper looks like. So is this natural in physics optics to be able to retrieve a Graphing Grid System?

Here we are asking what is (B*E) to equal kg*meter^2 /sec^2. Since vector dot product is the same as vector cross product, only difference is where we take the angle, whether cosine or sine of a triangle to get area of two equal triangles that forms a parallelogram.

The direction AP is headed for is to make equal the ultimate units of 3D in geometry is volume making the ultimate units of volts in physics also be 3D.

That unification of volume to voltage requires Volts = current*(B*E) as similar to Volume = Length * Width * Depth.

The way I do that in this book is consider volume as a length of area, the area is width* depth and multiplied by length is volume. For physics, B*E is similar to width*depth and when multiplied the B*E is a parallelogram whose area is two triangles that compose the parallelogram. The area of one of these two triangles follows the formula Area = A cross B (sine angle) while the other complimentary triangle follows Area = A dot B (cosine of compliment angle of sine). So if the sine angle is 30 degrees the compliment angle is 60 degrees for cosine.

What I am heading for is the final units formula of Voltage is Volt = A*(magnetic field * electric field) written as A ((1/A)(meters/sec) * (A)(meters/sec). Which leaves me with Voltage = A(meters^2/seconds^2) a final configuration of energy.

In Geometry, volume is 3D and is the final configuration. In physics we need to end at 3D and be energy, and Voltage = A(meters^2/seconds^2 does just that.

But in New Physics, I need to recalibrate Ampere A and Coulomb C so that this final configuration makes sense.
--- end quoting from my 271st book of science ---

AP, King of Science

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Feb 19, 2024, 7:44:51 PM (4 hours ago)



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Alright I am able to start writing this book the first of a long series of books on Science Experiments and their failures of Logical interpretation and Logical Correctness. I was momentarily stalled because of the issue of a Math Formula for Superconductivity emerged early on. But now I start writing the first of this series.

I am fortunate to find the Math formula that involves Superconductivity while doing this series. And I am sure many new ideas will also pop up in writing this series which may be ten or more books long.

And in doing Superconductivity I found a way of explaining to the young student the difference between electric current and electric field. I know when I was a young student in late 1960s I kept wrestling with what was electric field and electric current. And I was not the only one for my classmates also had this difficulty. By doing various experiments in this series, I can point out to the young reader what that difference is quite clearly and save him/her the agony and turmoil of not knowing.

This series is about the impact and intersection of the science of Logic with the physical sciences-- mostly physics. And it harps back to a long problem that AP has voiced over the Internet sci.math, sci.physics and his own newsgroup of plutonium-atom-universe and in many of AP's published books of science. The obvious under-education of scientists who never took a single formal course in Logic in University. AP recommends a Introduction to Logic and then a full year of Symbolic Logic; thus 2 full years of training by all scientists in logic-- how to think straight and think clearly.

I truly believe if this had happened in physics education starting from Newton and Gilbert onwards-- that they studied Logic-- how to think straight and think clearly, that AP would not have to write a long series of books on how and why physicists- chemists, biologists failed so badly in their experiments and interpretation of their experiments and observations. For example, the 1908-1913 Rutherford-Geiger-Marsden gold leaf foil experiment with the conclusion of a "Atom has a dense small nucleus" would likely never occurred if the three had taken 2 years of logic in University. For all three Rutherford, Geiger, Marsden would have remembered that when cars hit head on with a truck and the cars fly backwards at twice the speed they struck the truck, would have made Rutherford, Geiger, Marsden declare the opposite--- Atoms have no nucleus, and that the incoming alpha particle rammed into a Muon, or muon cluster moving at nearly the speed of light in a opposite direction of incoming alpha particle. Much like the Newton cradle of balls swinging.

And this raises the question of Logic itself, is logic the subject of Clarity. We can call mathematics the subject of precision, but is Logic the subject of clarity?? Both Logic and Mathematics are languages needed by physics. Is clarity the same as precision? So many questions to tackle and wrestle with. So let me start writing the first of this series. My 278th book of science.

AP, King of Science
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Feb 19, 2024, 9:37:49 PM (3 hours ago)



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I am trying to find out when it was known of like poles --"deny same space occupancy"-- (some will think of it as repel.

I need to know when scientists fabricated their own magnets and no longer used lodestones.

From reading some history, apparently when you make steel and cool it, exposing to Earth magnetic field you manufactor a magnet. So did Maricourt in 1269 make his own magnet that he explored polarity, or was he still using lodestones.


--- quoting this excellent history summary of magnets by magnet-shop.com ---
Magnets throughout the history

magnetitThe history of magnets begins with the first discoveries of magnetic stones or lodestones – starting from 1845 this kind of stone was called magnetite. It is a mostly black mineral of iron and oxygen or iron hydroxide, which develops in a natural way by volcanic activity and has its own magnetic property. About 9600 sites of these magnetic stons are nowadays established.

The Greek philosopher Thales of Miletus had already noticed the special effects of the magnetic stones in the 6th century b.C. He wrote according to Aristotle that these stones have a soul because they can move and tighten iron. Such an invisible force corresponded for the ancient Greeks a feature of the psyche and inner liveliness.

The origin of the name
naturalishistoriaThe name is originally from the ancient Greek word "lithos magnes". The origin of the name comes as Pliny explained in his “Naturalis Historia” (77 a.D.) from the legend of the Greek shepherd Magnes on Mount Ida, his iron stock and the nails in his shoes were attracted by the magnetite stones.

But this word probably comes more from the countryside Magnesia (Magnisia) in Thessaly, a famous locality of the magnetic stones. That was declared by Lucretius in his “De Rerum Natura” didactic poem which has been released by Cicero after Lucretius died.

Other sources say the name was given by the city of Magnesia in Asia Minor a present-day region in Turkey. She was a colony of the Magnet Macedonian tribe.

The first compass pointed to the south
kompassThe special characteristics of the magnetite were not only known by the ancient Greeks, the properties of the magnets were also analyzed in China in the pre-Christian times. In the Warring States period Hanfuzius developed there the first compass ever. The “Si Nan”, which literally means the south pointer.

It consisted in a spoon shaped lodestone placed as a compass needle on a flat square bronze or copper plate in which symbols, lines and writings were engraved. The magnetic field of the spoon was aligned so that it pointed again to the south after each rotation. The south was the preferred direction of the Taoist trigrams. It was the direction of the sky, while the north was considered inauspicious.

Wet and dry compass
In Europe the first description of the use of compasses for navigation was given by Alexander Neckam. In his work “De Utensilibus et De Rerum Naturis” (both written in around 1190 a.D.) he described floating needles that were revolved in the water until they pointed to the north. The use of these needles gave the possibility to navigate in a complete darkness too.

On the contrary, Pierre de Maricourt mentioned for the first time a dry compass in his "Epistola de Magnete" written in 1269. He had free-swinging, dry magnetic needles, which rotated on a pin. They were the most important component of the dry compass. According to the legend the Italian Flavio Gioia from Amalfi was the first who invented this kind of compass. From the beginning of the 14th century this compass appeared in the combination with the compass rose on Western ships.

The two poles of magnets
Maricourt had systematically worked with magnets and their polarity and in his work dated 1269 he explained what he discovered: the same magnetic poles repel each other while different poles attract.

He wrote also that by breaking a magnet you get two small magnets. The explanation for this phenomenon was only found out pretty much later in the years. This is because of the natural rod shaped orientation of the elementary magnets in ferromagnetic materials.

The magnetization of ferromagnetic materials
This is why ferromagnetic materials can also be magnetized. This process was known early on. It happened by brushing some objects with a magnet. In this way, objects such as an iron nail or wire were lined in a parallel way to this magnet.

Such magnetization can be created again by shocks like by high temperatures or by oppositely polarized magnetic fields.

The Earth as magnet
For a long time nobody could find an explanation for the reason why magnetic needles orientate to the north or to the south. At the beginning it was thought that the magnets were attracted by the pole star.

Only William Gilbert came in his major work De magnets, Magnetisque Corporis et de Magno magnets Tellure (about magnets, magnetic bodies and the big magnet Earth), dating back to 1600, to the conclusion that the entire globe must be regarded as a giant magnet with two poles.

His own experiments were helped by a spherical magnet, the "Terrela", and the inclination of the magnetic needles and their different tilt to the poles depending on the latitude discovered by Georg Hartmann.

Magnetism and electricity
william_gilbert Gilbert had already employed magnetism with electricity, but only James Clerk Maxwell was the first one who put the relationships in the form of a system of differential equations together. After that the widespread hypothesis started in the first years of the 19th century of identity between electricity and magnetism was established. The Danish physicist Hans Christian Ørsted demonstrated the electromagnetic effect in 1820.

william_sturgeon In 1826 it was the Englishman William Sturgeon even succeeded as the first to invent an electromagnet. It consisted of a coil forming a magnetic field when current flows through. In the coil, there was an iron core, the magnetic field increased, and led. In this case, the magnetic field lines are concentrated in the interior of the coil, where the strongest magnetic flux density was found. Outside the coil it decreases quickly with bigger distance, we can also say that electromagnets have a big effect used on small distances.

james_clerk_maxwellWith his "Maxwell equations" described James Clark Maxwell, the behaviour of electric and magnetic fields and their interactions. He published in 1864 at London's Royal Society. In addition, Maxwell wrote about waves of oscillating electric and magnetic fields that move through empty space. Your speed he derived from electrical experiments.
--- end quoting from magnet-shop.com of their excellent summary of magnet history ---
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Archimedes Plutonium<***@gmail.com>
Feb 19, 2024, 10:17:49 PM (2 hours ago)



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So I need to know what magnets Maricourt used? Did he use lodestone. Or did he have iron-smiths craft magnets of iron-nickel exposing them to lodestones and then heating the iron-nickel to a high temperature.

AP
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Archimedes Plutonium<***@gmail.com>
Feb 19, 2024, 10:43:23 PM (1 hour ago)



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On Monday, February 19, 2024 at 10:17:49 PM UTC-6 Archimedes Plutonium wrote:
So I need to know what magnets Maricourt used? Did he use lodestone. Or did he have iron-smiths craft magnets of iron-nickel exposing them to lodestones and then heating the iron-nickel to a high temperature.

To find out what magnets Maricourt used I suspect compass needle development tells me Maricourt made iron rods as magnets.
--- quoting Wikipedia on compass ---
A magnetic rod is required when constructing a compass. This can be created by aligning an iron or steel rod with Earth's magnetic field and then tempering or striking it. However, this method produces only a weak magnet so other methods are preferred. For example, a magnetised rod can be created by repeatedly rubbing an iron rod with a magnetic lodestone. This magnetised rod (or magnetic needle) is then placed on a low friction surface to allow it to freely pivot to align itself with the magnetic field. It is then labeled so the user can distinguish the north-pointing from the south-pointing end; in modern convention the north end is typically marked in some way.
If a needle is rubbed on a lodestone or other magnet, the needle becomes magnetized. When it is inserted in a cork or piece of wood, and placed in a bowl of water it becomes a compass. Such devices were universally used as compass until the invention of the box-like compass with a 'dry' pivoting needle sometime around 1300.
--- end quoting Wikipedia ---
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Archimedes Plutonium<***@gmail.com>
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On Monday, February 19, 2024 at 7:44:51 PM UTC-6 Archimedes Plutonium wrote:

And this raises the question of Logic itself, is logic the subject of Clarity. We can call mathematics the subject of precision, but is Logic the subject of clarity?? Both Logic and Mathematics are languages needed by physics. Is clarity the same as precision? So many questions to tackle and wrestle with. So let me start writing the first of this series. My 278th book of science.

The mission of math is precision in quantity and geometry for physics and the other sciences. The mission of Logic is straightline reasoning does B follow from A and is it clear what A, and B are. In a sense, a proof of mathematics is the subject of Logic, not mathematics itself. Mathematics defines quantity and geometry, but it is logic that puts thoughts, ideas, into a sequence or series forming a proof.

All the more reason that mathematicians take 2 years of College Logic before becoming a mathematician.

AP is not going to argue or quibble over whether these science experiments are error filled or mistakes made of mathematics. AP is arguing in this series of books of Science Experiments whether the conclusions are warranted or whether mistakes in going from A to B in ideas is correct and proper. For example in the Millikan oil drop experiment to measure the force of electromagnetism, is compared to the force of gravity as the oil drop descends to achieve the number constant of 1.60*10^-19 Coulomb. So how was Millikan able to Logically know he had 1 unit and not more than 1 unit??

AP

AP kindly asks Google to let AP run all three, sci.math, sci.physics, PAU as he runs PAU, now--- all pure science, no spam and no govt b.s.

PAU newsgroup is this.
https://groups.google.com/forum/?hl=en#!forum/plutonium-atom-universe        
Archimedes Plutonium

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