More to add to AP's 11th book//World's First Geometry Proof of Fundamental Theorem of Calculus// Math proof series, book 2 Kindle Edition by Archimedes Plutonium (Author).

Medical Note: When I had liposarcoma cancer in 2016 recected, and going home, I had a surge in science discovery, the likes of which I had never experienced before. I even noticed the clarity in my head as I was doing math or physics problems, they flowed so much easier than other time in my life. For example, my second greatest science discovery came in 2016-2017, that the real true electron of atoms was the muon, not the 0.5MeV particle everyone else thought was the electron from J.J. Thomson in 1897 on forward. And my science output increased several fold, I would say 10 X better. So I wanted to know what caused this massive increase in clarity, and I came to the conclusion that in my cancer resection, that I lost one testicle tube, hence the entire testicle would disappear. This I blame for my increase in logical clarity, the hormone flow was decreased. Then in June 1, 2021 I had a laser vaporization of 80% of my prostate gland, called a TURP, and that allows me to sleep at night without getting up and making 6-7 trips to the bathroom to piss. And in that TURP, I again decreased testosterone flow, and increase logical clarity. That increased logical clarity allowed me to finish my 151st book which is due to be published soon-- TEACHING TRUE PHYSICS, 1st year College. But I can see this increase in clarity in all my math and physics work at hand. So that I have a 50% testicle and a fractional prostate. This increase in clarity is evident in posts like this, where I clarify even more than before.

I need to add this post and line of thought to my proof of FTC. For as it likely will turn out, my greatest contribution to mathematics will be to focus attention on the greatest math of our time-- the Calculus. And to logically summarize and evaluate what the Fundamental Theorem of Calculus does for mathematics.

Now I often tirade the Old Math community, not because I am vicious, but because my way of talking to them catches their attention, otherwise they continue to ignore and go their anti-math way. And my talk is not about egotism on my part, no, it is more about placing the History of Math in its true perspective, what people in 400 years from now looking back will think and say about our time.

Most people know the history of calculus starts with Newton and Leibniz. But what they do not know, is there was never a valid proof of Fundamental Theorem of Calculus, FTC, until AP did the first in about 2015, yes, before my cancer surgery, so the old-man was still thinking sharp. But never as sharp as now in 2021.

So I must add on more and more to what is probably AP's single greatest work and achievement in mathematics. I say that not for bragging but for reality.

You see, if anyone were to ask a math professor from 1990 onwards, what is the most important math problem of the time 1990-2021, all of them would likely say Riemann Hypothesis. None of them would say Geometrical Proof of Fundamental Theorem of Calculus.

1) Did every mathematician from Newton onwards know that Calculus was geometry? I do not know the answer to that. We can sort of see they knew because they tried to make the derivative as tangent line to a graph curve at a point. And they certainly knew the integral was area under graph curve. So why did no-one from Newton onwards demand a geometry proof of FTC? Was it just too difficult to even start to consider? Or likely, no mathematician from Newton onwards had a "good enough logical brain".

2) Somewhere in the 1800s, Cauchy introduced "limit analysis" to calculus all because he was sick and tired of his smartest students asking how 0 width rectangles summed up can be area for integral. Under this pallor of delusion that limits solve anything, then FTC was buried. So the most important math from Newton onwards was buried under a trashpile called "limit analysis". And other problems like the Riemann Hypothesis were seen as the "current fade of delusion".

3) If Hilbert himself, had said, the number one problem in all of math was Geometry proof of FTC, then I would not be writing this, and probably, AP would not be the first discoverer of the geometry FTC.

4) So here is a big logical lesson to learn in all sciences. If your science community is barking up the wrong tree in what to focus on, then you will end up as failures of that science. For every 400 years has its one big crucial critical problem to solve. The Big Problem of that science, needs to be seen, be communicated, be tackled in hopes of solving. The big problem from Newton onwards was Geometry proof of FTC, and things like the Riemann Hypothesis were just trash or pollution in the road of mathematics.

5) Why Geometry Proof of Calculus was the greatest math problem from Newton onwards. Why? Because, calculus is indispensible for physics. We cannot throw out calculus, for we throw out physics also. And that means, like no other math proof, no other math problem, do we see the Consistency of all of mathematics put in play. We can throw out the Reals as the numbers of mathematics, before we throw out calculus. We can throw out negative numbers and 0, before we throw out calculus. We can throw out all so called functions, not polynomials, before we throw out calculus. In other words, Calculus is so precious to math and science, that Calculus alone, is a Consistency test over all parts of mathematics. And once you apply that consistency test, you literally have thrown out up to about 75% of Old Math as being fake garbage.

6) I have never seen a proof like the Geometry proof of FTC, for it is a gem of a proof that cleans up, and cleans out all of Mathematics. In Old Math they had a erroneous logic called Reductio Ad Absurdum, and is a fake method of logic (see my logic book on RAA). But a geometry proof of FTC is a proof that works almost in the reverse of RAA. A geometry proof of FTC, throws out many aspects of Old Math that was assumed true, like Reals, like continuity, like a equation with 0 all alone on the rightside, like negative numbers, like a coordinate system with 4 quadrants. In proving geometry FTC, Old Math is given a complete scrub down and almost everything is challenged as being fake or acceptable.

To have a Geometry Proof of Calculus, the Fundamental Theorem of Calculus, you cannot have Reals as the number system of mathematics, for Reals cannot provide empty space from one point to a next successor point. You need discrete geometry to have a Calculus, that means you throw out the Reals and have Decimal Grid Numbers be mathematics. For surely, everyone wants to keep Calculus. Next, you cannot have negative numbers or 0 be on one side of a equation in mathematics, for that causes there to be 4 quadrants in mathematics and Calculus can only exist when you have 1st Quadrant Only. Next, you need your integral to be a square or rectangle for the Y= x^2 is a square box, and is a polynomial and the derivative must be a cut-away of a square at a midpoint of one side of the square giving you a right-triangle. This means the only type of function in mathematics that allows for a Fundamental Theorem of Calculus is the Polynomial Function. That means, ever type of function, if not already a polynomial must be translated into a polynomial over a specified interval.

All of these constraints must come together in order to have a Geometrical Proof of Fundamental Theorem of Calculus, and we all must have a calculus.

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 19May2021. 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". 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.

Length: 137 pages

Product details
ASIN : B07PQTNHMY
Publication date : March 14, 2019
Language : English
File size : 1307 KB
Text-to-Speech : Enabled
Screen Reader : Supported
Enhanced typesetting : Enabled
X-Ray : Not Enabled
Word Wise : Not Enabled
Print length : 137 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)

More to add to AP's 11th book//World's First Geometry Proof of Fundamental Theorem of Calculus// Math proof series, book 2 Kindle Edition by Archimedes Plutonium (Author).

Medical Note: When I had liposarcoma cancer in 2016 resected, and going home, I had a surge in science discovery, the likes of which I had never experienced before. I even noticed the clarity in my head as I was doing math or physics problems, they flowed so much easier than other times in my life. For example, my second greatest science discovery came in 2016-2017, that the real true electron of atoms was the muon, not the 0.5MeV particle everyone else thought was the electron from J.J. Thomson in 1897 on forward. And my science output increased several fold, I would say 10 X better. So I wanted to know what caused this massive increase in clarity, and I came to the conclusion that in my cancer resection, that I lost one testicle tube, hence the entire testicle would disappear. This I blame for my increase in logical clarity, the toxic hormone flow and thoughts of sex was decreased. Then in June 1, 2021 I had a laser vaporization of 80% of my prostate gland, called a TURP, and that allows me to sleep at night without getting up and making 6-7 trips to the bathroom to piss. And in that TURP, I again decreased testosterone flow, and an increase in logical clarity. That increased logical clarity allowed me to finish my 151st book which is due to be published soon-- TEACHING TRUE PHYSICS, 1st year College. But I can see this increase in clarity in all my math and physics work at current moment. So that I have a 50% testicle and a fractional prostate. This increase in clarity is evident in posts like this, where I clarify even more than before.

I need to add this post and line of thought to my proof of FTC. For as it likely will turn out, my greatest contribution to mathematics will be to focus attention on the greatest math of our time-- the Calculus. And to logically summarize and evaluate what the Fundamental Theorem of Calculus does for mathematics.

Now I often tirade the Old Math community, not because I am vicious, but because my way of talking to them catches their attention, only, as I slap them in the face of attention, otherwise they continue to ignore and go their anti-math way. And my talk is not about egotism on my part, no, it is more about placing the History of Math in its true perspective, what people in 400 years from now, looking back will think and say about our time.

Most people know the history of calculus starts with Newton and Leibniz. But what they do not know, is there was never a valid proof of Fundamental Theorem of Calculus, FTC, until AP did the first in about 2015, yes, before my cancer surgery, so the old-man was still thinking sharp. But never as sharp as now in 2021.

So I must add on more and more to what is probably AP's single greatest work and achievement in mathematics. I say that not for bragging but for reality.

You see, if anyone were to ask a math professor from 1990 onwards, what is the most important math problem of the time 1990-2021, all of them would likely say Riemann Hypothesis. None of them would say Geometrical Proof of Fundamental Theorem of Calculus.

1) Did every mathematician from Newton onwards know that Calculus was geometry? I do not know the answer to that. We can sort of see they knew because they tried to make the derivative as tangent line to a graph curve at a point. And they certainly knew the integral was area under graph curve. So why did no-one from Newton onwards demand a geometry proof of FTC? Was it just too difficult to even start to consider? Or likely, no mathematician from Newton onwards had a "good enough logical brain".

2) Somewhere in the 1800s, Cauchy introduced "limit analysis" to calculus all because he was sick and tired of his smartest students asking how 0 width rectangles summed up can be area for integral. Under this pallor of delusion that limits solve anything, then FTC was buried. So the most important math from Newton onwards was buried under a trashpile called "limit analysis". And other problems like the Riemann Hypothesis were seen as the "current fade of delusion". Not knowing that if you gave a geometry proof of FTC, the Riemann Hypothesis is fakery and "dead on arrival".

3) If Hilbert himself, had said, the number one problem in all of math was Geometry proof of FTC, then I would not be writing this because, well, it is likely that someone would have started down the road of a geometry proof of FTC, and probably, AP would not be the first discoverer of the geometry FTC. So maybe AP has Cauchy to thank and Hilbert to thank for leaving a geometry FTC all alone for AP to conquer.

4) So here is a big logical lesson to learn in all sciences. If your science community is barking up the wrong tree in what to focus on, then you will end up as failures of that science. For every 400 years has its one big crucial critical problem to solve. The Big Problem of that science, needs to be seen, be communicated, be tackled in hopes of solving. The big problem from Newton onwards was Geometry proof of FTC, and things like the Riemann Hypothesis were just trash, distraction and pollution in the road of mathematics.

5) Why Geometry Proof of Calculus was the greatest math problem from Newton onwards. Why? Because, calculus is indispensible for physics. We cannot throw out calculus, for we throw out physics also. And that means, like no other math proof, no other math problem, do we see the Consistency of all of mathematics put in play. We can throw out the Reals as the numbers of mathematics, before we throw out calculus. We can throw out negative numbers and 0, before we throw out calculus. We can throw out all so called functions, not polynomials, before we throw out calculus. In other words, Calculus is so precious to math and science, that Calculus alone, is a Consistency test over all parts of mathematics. And once you apply that consistency test, you literally have thrown out up to about 75% of Old Math as being fake garbage.

6) I have never seen a proof like the Geometry proof of FTC, for it is a gem of a proof that cleans up, and cleans out all of Mathematics. No other math proof to my knowledge cleaned up mathematics. In Old Math they had a erroneous logic called Reductio Ad Absurdum, and is a fake method of logic (see my logic book on RAA). But a geometry proof of FTC is a proof that works almost in the reverse of RAA. A geometry proof of FTC, throws out many aspects of Old Math that was assumed true, like Reals, like continuity, like a equation with 0 all alone on the rightside, like negative numbers, like a coordinate system with 4 quadrants. In proving geometry FTC, Old Math is given a complete scrub down and almost everything is challenged as being fake or acceptable.

To have a Geometry Proof of Calculus, the Fundamental Theorem of Calculus, you cannot have Reals as the number system of mathematics, for Reals cannot provide empty space from one point to a next successor point. You need discrete geometry to have a Calculus, that means you throw out the Reals and have Decimal Grid Numbers be mathematics. For surely, everyone wants to keep Calculus. Next, you cannot have negative numbers or 0 be on one side of a equation in mathematics, for that causes there to be 4 quadrants in mathematics and Calculus can only exist when you have 1st Quadrant Only. Next, you need your integral to be a square or rectangle for the Y= x^2 is a square box, and is a polynomial and the derivative must be a cut-away of a square at a midpoint of one side of the square giving you a right-triangle. This means the only type of function in mathematics that allows for a Fundamental Theorem of Calculus is the Polynomial Function. That means, ever type of function, if not already a polynomial must be translated into a polynomial over a specified interval.

All of these constraints must come together in order to have a Geometrical Proof of Fundamental Theorem of Calculus, and we all must have a calculus.

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 19May2021. 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". 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?

🤡 of Math and 🃏 of Physics Archimedes "Court Jester of Physics"
Plutonium <plutonium.archimedes@gmail.com> fails at math and science:

> More to add to AP's 11th book//World's First Geometry Proof of Fundamental Theorem of Calculus// Math proof series, book 2 Kindle Edition by Archimedes Plutonium (Author).
>
> Medical Note: When I had liposarcoma cancer in 2016 resected, and going home, I had a surge in science discovery, the likes of which I had never experienced before.

What could have caused that burst of hallucinations? The drugs they
used? Side effects of painkillers? Or simply a megatard moment?

> I even noticed the clarity in my head as I was doing math or physics problems, they flowed so much easier than other times in my life.

Yes your garbage spew was worse than usual.

> For example, my second greatest science discovery came in 2016-2017, that the real true electron of atoms was the muon, not the 0.5MeV particle everyone else thought was the electron from J.J. Thomson in 1897 on forward.

Yes that was a particularly bad hallucination. Unfortunately, you cannot
tell the difference between a bad hallucination and an interesting idea.
And even then, you cannot think through an interesting idea for flaws
such as the masses being all wrong, but instead brand it as a
"discovery". That is the real megatard moment.

> And my science output increased several fold, I would say 10 X better. So I wanted to know wh

You should have asked your doctors if the side effects caused
hallucinations, or the inability to tell hallucinations from reality.