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Proof of Riemann's Hypothesis

Mathematics, #1

by James Constant ...

Series Book 1 - Mathematics
It has already been shown that all zeros are in the critical strip and that they are symmetric about the critical line. I make several assumptions and show that all zeros are on the critical line and that Riemann's functional equation presents a problem. The assumptions are, first, that Riemann's zeta function is single valued at each point of the critical strip (it is not), second, Riemann's ... Read more

PHP344.75

It has already been shown that all zeros are in the critical strip and that they are symmetric about the critical line. I make several assumptions and show that all zeros are on the critical line and that Riemann's functional equation presents a problem. The assumptions are, first, that Riemann's zeta function is single valued at each point of the critical strip (it is not), second, Riemann's
... Read more
Finding Pythagorean Primes

Mathematics, #9

by James Constant ...

Series Book 9 - Mathematics
It is well known that finding large prime numbers is difficult.i We have no algorithm to find primes although we have algorithms to narrow the search. The two main tools we have are theory and empirical data both supported by computers. But, with increased number size of numbers computation becomes prohibitive in time and resources. For small prime numbers, it is easy as we have exhaustively ... Read more

PHP576.51

It is well known that finding large prime numbers is difficult.i We have no algorithm to find primes although we have algorithms to narrow the search. The two main tools we have are theory and empirical data both supported by computers. But, with increased number size of numbers computation becomes prohibitive in time and resources. For small prime numbers, it is easy as we have exhaustively
... Read more
Beal Fermat and Pythagoras Triplets

Mathematics, #8

by James Constant ...

Series Book 8 - Mathematics
Proof that Beal And Fermat Triplets Cannot Exist. This is a single page proof of Fermat's Last Theorem and Beal's conjecture in terms of Euclid's formulas for triplets. ... Read more

PHP576.51

Proof that Beal And Fermat Triplets Cannot Exist. This is a single page proof of Fermat's Last Theorem and Beal's conjecture in terms of Euclid's formulas for triplets.
... Read more
Riemann's Analytic Expression Disproved

Mathematics, #2

by James Constant ...

Series Book 2 - Mathematics
By rearranging terms, Riemann's zeta function ζ(s) can be made to converge or diverge to any value desired. Accordingly, Riemann's analytic extension to interval 0≤x≤1 is irrelevant to determining primes. ... Read more

PHP344.75

By rearranging terms, Riemann's zeta function ζ(s) can be made to converge or diverge to any value desired. Accordingly, Riemann's analytic extension to interval 0≤x≤1 is irrelevant to determining primes.
... Read more
Extended Zeta Functions Prove or Dis-prove Riemann's Hypothesis

Mathematics, #3

by James Constant ...

Series Book 3 - Mathematics
While extended zeta functions support investigations of Riemann's hypothesis and estimates for the Prime Number Theorem, some zeta functions offer better prospects for providing easy proofs, or disproofs. In 1859, Riemann had the idea to define Euler's function ε(x)=∑m^x for all complex numbers s=x+iy by analytic extension. This extension is important in number theory and plays a central role in ... Read more

PHP344.75

While extended zeta functions support investigations of Riemann's hypothesis and estimates for the Prime Number Theorem, some zeta functions offer better prospects for providing easy proofs, or disproofs. In 1859, Riemann had the idea to define Euler's function ε(x)=∑m^x for all complex numbers s=x+iy by analytic extension. This extension is important in number theory and plays a central role in
... Read more
The Navier-Stokes Millenium Problem

Mathematics, #4

by James Constant ...

Series Book 4 - Mathematics
Solutions of the Navier–Stokes equations often include turbulence, which remains one of the greatest unsolved problems in physics, despite its immense importance in science and engineering. The Clay Mathematics Institute in May 2000 made this problem one of its seven Millennium Prize problems in mathematics. It offered a US $1,000,000 prize to the first person who provides a solution for a ... Read more

PHP578.83

Solutions of the Navier–Stokes equations often include turbulence, which remains one of the greatest unsolved problems in physics, despite its immense importance in science and engineering. The Clay Mathematics Institute in May 2000 made this problem one of its seven Millennium Prize problems in mathematics. It offered a US $1,000,000 prize to the first person who provides a solution for a
... Read more
Turing’s Test Update

by James Constant ...

Series series Mathematics
Scientists have long puzzled why only humans managed to colonize the entire globe. A recent hypothesis holds that cooperation and projectile weapons account for man’s world domination. Better yet is the proposition that all living things are computers but humans have mastered the arts of making useful artifacts, objects that existed in their minds. Book looks at how programming electronic brains ... Read more

PHP329.87

Scientists have long puzzled why only humans managed to colonize the entire globe. A recent hypothesis holds that cooperation and projectile weapons account for man’s world domination. Better yet is the proposition that all living things are computers but humans have mastered the arts of making useful artifacts, objects that existed in their minds. Book looks at how programming electronic brains
... Read more
Fermat's Last Theorem and Beal's Conjecture

Mathematics, #6

by James Constant ...

Series Book 6 - Mathematics
In this short book Fermat's Last Theorem is easily proven and Beals Conjecture is easily Disprovenusing Pythagora's Theorem ... Read more

PHP289.13

In this short book Fermat's Last Theorem is easily proven and Beals Conjecture is easily Disprovenusing Pythagora's Theorem
... Read more
Hilbert Godel Turing and the Computer Decision Problem

Mathematics, #7

by James Constant ...

Series Book 7 - Mathematics
Is there a procedure or algorithm that can decide whether statements, mathematical or non-mathematical, are true or false, win or draw? The broader decision problem can be stated as follows: Even though a mathematical or non-mathematical statement is undecidable in general, it may be possible to find a special algorithm that makes a computer model stop or checkmate. A computer model stops when a ... Read more

PHP576.51

Is there a procedure or algorithm that can decide whether statements, mathematical or non-mathematical, are true or false, win or draw? The broader decision problem can be stated as follows: Even though a mathematical or non-mathematical statement is undecidable in general, it may be possible to find a special algorithm that makes a computer model stop or checkmate. A computer model stops when a
... Read more

Flatland: A Romance Of Many Dimensions (Illustrated)

by Edwin A. Abbot ...

Free
Elliptic Tales

Curves, Counting, and Number Theory

by Avner Ash, Robert Gross ...

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The ... Read more

PHP759.49

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The
... Read more
The Book of Numbers

From Zero to Infinity, An Entertaining List of Every Number That Counts

by Tim Glynne-Jones ...

From zero to infinity, The Book of Numbers is a handy-sized volume which opens up a new realm of knowledge. Where else in one place could you find out how the illegal numbers racket worked, what makes some people see numbers as colours, why the standard US rail gauge exactly matches the axle width of an ancient Roman chariot, and the numerological connection between Adolf Hitler and Osama Bin ... Read more

PHP35.00 or Free with Kobo Plus

From zero to infinity, The Book of Numbers is a handy-sized volume which opens up a new realm of knowledge. Where else in one place could you find out how the illegal numbers racket worked, what makes some people see numbers as colours, why the standard US rail gauge exactly matches the axle width of an ancient Roman chariot, and the numerological connection between Adolf Hitler and Osama Bin
... Read more

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Recommended For You

Mathematics eBook Series

Proof of Riemann's Hypothesis

Finding Pythagorean Primes

Beal Fermat and Pythagoras Triplets

Riemann's Analytic Expression Disproved

Extended Zeta Functions Prove or Dis-prove Riemann's Hypothesis

The Navier-Stokes Millenium Problem

Turing’s Test Update

Fermat's Last Theorem and Beal's Conjecture

Hilbert Godel Turing and the Computer Decision Problem

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Flatland: A Romance Of Many Dimensions (Illustrated)

Elliptic Tales

The Book of Numbers