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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

PHP346.84

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
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

PHP346.84

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
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

PHP346.84

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
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

PHP580.01

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
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

PHP580.01

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
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

PHP580.01

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
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

PHP290.88

In this short book Fermat's Last Theorem is easily proven and Beals Conjecture is easily Disprovenusing Pythagora's Theorem
... 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

PHP582.34

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

Mathematics, #5

by James Constant ...

Series Book 5 - 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

PHP349.17

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

Elementary Illustrations of the Differential and Integral Calculus (Illustrated)

by Augustus De Morgan ...

DIFFERENTIAL AND INTEGRAL CALCULUS.ELEMENTARY ILLUSTRATIONS.The Differential and Integral Calculus, or, as it was formerly called, the Doctrine of Fluxions, has always been supposed to present remarkable obstacles to the beginner. It is matter of common observation that anyone who commences this study, even with the best elementary works, finds himself in the dark as to the real meaning of the ... Read more

PHP174.29

DIFFERENTIAL AND INTEGRAL CALCULUS.ELEMENTARY ILLUSTRATIONS.The Differential and Integral Calculus, or, as it was formerly called, the Doctrine of Fluxions, has always been supposed to present remarkable obstacles to the beginner. It is matter of common observation that anyone who commences this study, even with the best elementary works, finds himself in the dark as to the real meaning of the
... Read more
Trigonometry

by BarCharts,Inc ...

The basic principles of trigonometry are covered in this colorful guide. This guide is excellent for the beginning student or enthusiasts. This guide covers, trigonometry with triangles, trigonometry with a unit circle as well as analytic trigonometry. This guide is laminated and comes with three punched holes for easy use. ... Read more

PHP288.55

The basic principles of trigonometry are covered in this colorful guide. This guide is excellent for the beginning student or enthusiasts. This guide covers, trigonometry with triangles, trigonometry with a unit circle as well as analytic trigonometry. This guide is laminated and comes with three punched holes for easy use.
... Read more
Numbers

A Very Short Introduction

by Peter M. Higgins ...

Series series Very Short Introductions
Numbers are integral to our everyday lives and feature in everything we do. In this Very Short Introduction Peter M. Higgins, the renowned mathematics writer, unravels the world of numbers; demonstrating its richness, and providing a comprehensive view of the idea of the number. Higgins paints a picture of the number world, considering how the modern number system matured over centuries. ... Read more

PHP465.75

Numbers are integral to our everyday lives and feature in everything we do. In this Very Short Introduction Peter M. Higgins, the renowned mathematics writer, unravels the world of numbers; demonstrating its richness, and providing a comprehensive view of the idea of the number. Higgins paints a picture of the number world, considering how the modern number system matured over centuries.
... Read more

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Recommended For You

Mathematics eBook Series

Proof of Riemann's Hypothesis

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

Riemann's Analytic Expression Disproved

Hilbert Godel Turing and the Computer Decision Problem

Beal Fermat and Pythagoras Triplets

Finding Pythagorean Primes

Fermat's Last Theorem and Beal's Conjecture

The Navier-Stokes Millenium Problem

Turing’s Test Update

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Elementary Illustrations of the Differential and Integral Calculus (Illustrated)

Trigonometry

Numbers