#7-1, 14th published book

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.
Length: 722 pages

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File Size: 2026 KB
Print Length: 722 pages
Publication Date: March 15, 2019
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Language: English
ASIN: B07PQ2CXBY
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#7-2, 35th published book

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

Sadly most mathematicians of today never learned a valuable lesson and truth of mathematics and geometry. That the axes in mathematics have to always be the same. You cannot have numbers on one axis and oranges on another axis and be mathematics. This is the horrible mistake of Old Math Trigonometry where they believed you can have numbers on one axis and angles on another and still be "mathematics". In true math, the trigonometry is not a sinusoid graph but is a semicircle graph. And this horrible mistake of Old Math escalated into thinking that sine and cosine and trigonometry functions can be dealt with in Calculus. Trigonometry cannot be used in Calculus at all. As I explain below, the derivative of Calculus is dy/dx and trigonometry is dy/dx, so no-one can unravel how a two sets of dy/dx can mix together. I proved where Trigonometry cannot be used in Calculus, and that means, throw out all trigonometry from Calculus textbooks. Leave Calculus to only polynomial functions.

Now, of course trigonometry is a valuable tool in mathematics and such things as surveying or engineering. And the usefulness of trigonometry is the fact that with one angle and one side of a right triangle is able to give you all three sides and all three angles of that right triangle. That is the summation of the value and use of trigonometry. Given one side and one angle you can uncover all the sides and angles of a right triangle. But sadly, in the history of mathematics, many unstable minded mathematicians hyped hyped and hyped trigonometry to where it is today-- a cesspool nightmare of mathematics in Calculus, thought they could stretch the use of trigonometry when in fact you cannot. And thus the ugly horrible picture of trigonometry here, there and everywhere has soaked into the body of mathematics and physics where it never belonged, especially Calculus. Here in this small book we show you the errors of Old Math on trigonometry.

Cover Picture: My graphing of a semicircle wave where the x and y axis are the same numbers atop Jacob's book, 1970, "Mathematics a Human Endeavor", page 276 showing a sinusoid graph. A sinusoid is purely fiction math.
Length: 113 pages

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• Publication Date : April 5, 2019
• File Size : 1422 KB
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• Print Length : 113 pages
• ASIN : B07QDG5TH2
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• Best-sellers rank #4,173,058 in Kindle Store (See Top 100 in Kindle Store)
• #237 in Trigonometry (Kindle Store)
• #2,090 in Trigonometry (Books)

#7-3, 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.

Length: 36 pages

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File Size: 1110 KB
Print Length: 36 pages
Simultaneous Device Usage: Unlimited
Publication Date: July 24, 2019
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Language: English
ASIN: B07VRVBD91
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#7-4, 73rd published book

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

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 OS, happened on 6 December 2019, as seen below.

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 blonde, or red and black, really repulsive. But so be it, in a world, even esthetics, to me, has to be logical.
Length: 261 pages

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File Size: 987 KB
Print Length: 262 pages
Publication Date: December 7, 2019
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Language: English
ASIN: B082GS2HW3
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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)


#7-5, 107th published book

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

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: a iphone photograph of me doing the 10 Decimal Grid Numbers Coordinate System, all in 1st Quadrant Only for math has no negative numbers.
Length: 64 pages

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File Size: 1187 KB
Print Length: 64 pages
Publication Date: April 1, 2020
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Language: English
ASIN: B086QBY5TT
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#7-6, 108th published book

New Math's FUNDAMENTAL THEOREM OF ALGEBRA// Math focus series, book 6
Kindle Edition
by Archimedes Plutonium (Author)

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.
Length: 47 pages

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File Size: 848 KB
Print Length: 47 pages
Publication Date: April 5, 2020
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ASIN: B086SPBM7F
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#7-7, 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 Kindle Edition
by Archimedes Plutonium (Author)

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.

Length: 23 pages

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File Size: 902 KB
Print Length: 23 pages
Publication Date: April 10, 2020
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Language: English
ASIN: B086Z93X71
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#7-8, 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 Kindle Edition
by Archimedes Plutonium (Author)

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.

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File Size: 1095 KB
Print Length: 56 pages
Publication Date: April 14, 2020
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Language: English
ASIN: B08742MBLL
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#7-9, 126th published book

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

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".
Length: 61 pages

Product details
ASIN : B08D5NGQSP
Publication date : July 15, 2020
Language : English
File size : 1110 KB
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Print length : 61 pages
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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)

#8-1, 3rd published book

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

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.

Length: 21 pages

File Size: 1620 KB
Print Length: 21 pages
Publication Date: March 11, 2019
Sold by: Amazon Digital Services LLC
Language: English
ASIN: B07PLSDQWC
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#8-2, 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 4Apr2021. This is AP's 11th published book of science.
Preface:
Calculus needs a geometry proof of Fundamental Theorem of Calculus. But none could ever be obtained in Old Math so long as they had (1) a ill-defined infinity; (2) they had the fakery of Limit concept; and (3) they had the fakery of a continuum; and (4) perhaps most important of all as long as Old Math had the wrong numbers that compose mathematics that no geometry proof of Fundamental Theorem of Calculus was ever possible. Sad that starting 1900, Planck showed that Space is discrete in physics, not continuous, leading to the rise of Quantum Mechanics. But the fools of mathematics went the opposite direction in wanting ever more a continuum in mathematics. They spent the entire 20th century riding high on Cohen's depraved continuum. You could almost say that starting 1900, the people in mathematics compared to those in physics would become more and more ignorant and further estranged, and that a widening schism rift separated math from physics, from the realities of the actual world as the future decades and centuries rolled by. And who knows where this rift would leave math as a science decreasing in vim and vigor. Will it end in math becoming a third or fourth tier science, ranking it above say economics but far below even psychology, because much of math proof is kook psychology acceptance divorced of reality. In this view, physics, chemistry, biology, astronomy, even geology ranked far higher in power and wisdom than math.

By the 19th and 20th and 21st centuries, the single number one important topic and subject in all of mathematics was Calculus, and the reason being, is that Physics is mostly calculus, the science of motion and change. And everyone in math knows that calculus is geometry. So, then, to not have a geometry proof of Fundamental Theorem of Calculus is a failure and failing of being a mathematician.

The Fundamental Theorem of Calculus basically says the integral is inverse to the derivative and the derivative is inverse to the integral. By inverse is meant that you can go to one given the other and vice versa, such as add is the inverse of subtract, so if we had 10 + 4 = 14 then the inverse is subtract 4 and we have 14-4 = 10 back to 10 where we started from. And the geometry proof involves a rectangle and a right triangle hinged atop a trapezoid. You hinge it one direction you have dy*dx for area of a rectangle for integral area. You hinge it the other direction you have the dy/dx for slope or derivative from the trapezoid formed.

Sad that Old Math was so full of ill-defined concepts and fake concepts that never was a geometry proof of FTC ever possible in Old Math.

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.

---------------------------
Table of Contents
---------------------------

1) Preliminary mathematics needed to do the Geometry Proof of Fundamental Theorem of Calculus.

2) How the dumb limit concept was borne, that is a con-artist job.

3) When you know the true numbers of mathematics, Decimal Grid Numbers, you need no limit concept.

4) Mathematics has two houses, one is numbers, one is geometry.

5) All numbers come from physics because the Universe is just one big atom of 231Pu.

6) History of my discovery of Decimal Grid Numbers.

7) The error of having a proper Coordinate System to do the Calculus as 1st Quadrant Only with all positive Decimal Grid Numbers.

8) Concept of Infinity versus Finite for Calculus.

9) Brief proofs of the Infinity borderline, especially Huygens tractrix.

10) World's first picture diagram proof of the Fundamental Theorem of Calculus by 2015.

11) Calculus the very most important math to date.

12) Everyone in mathematics knows that Calculus is geometry.

Length: 39 pages

Product details
ASIN : B07PQTNHMY
Publication date : March 14, 2019
Language : English
File size : 1236 KB
Text-to-Speech : Enabled
Screen Reader : Supported
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Print length : 39 pages
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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)