Trigonometry was never meant to be in calculus, and about the only place trig was meant to be is for solving triangles given angles along with side lengths. Only kooks of mathematics extended trig far beyond its utility and thus caused millions upon millions of headaches for youngsters. Whenever math is taken to a place it should never be, is kook math.

#10-1, 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.

Product details
File Size: 2026 KB
Print Length: 722 pages
Publication Date: March 15, 2019
Sold by: Amazon Digital Services LLC
Language: English
ASIN: B07PQ2CXBY
Text-to-Speech: Enabled 
X-Ray: 
Not Enabled  

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

#10-2, 35th published book

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

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
• Enhanced typesetting ‏ : ‎ Enabled
• X-Ray ‏ : ‎ Not Enabled
• Word Wise ‏ : ‎ Not Enabled
• Print length ‏ : ‎ 126 pages
• Lending ‏ : ‎ Enabled
• Best Sellers Rank: #673,548 in Kindle Store (See Top 100 in Kindle Store)
◦ #31 in Trigonometry (Kindle Store)
◦ #205 in Trigonometry (Books)

#10-3, 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
Text-to-Speech: Enabled 
X-Ray: 
Not Enabled  

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



#10-4, 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.

Product details
File Size: 987 KB
Print Length: 262 pages
Publication Date: December 7, 2019
Sold by: Amazon Digital Services LLC
Language: English
ASIN: B082GS2HW3
Text-to-Speech: Enabled 
X-Ray: 
Not Enabled  

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


#10-5, 107th published book

History of 4 Arithmetic-Algebra Axioms// History of why negative-numbers never exist// Math Focus series, book 5
by Archimedes Plutonium

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