Uncle Petros and Goldbach's Conjecture

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Author :
Publisher : Faber & Faber
ISBN 13 : 057129569X
Total Pages : 148 pages
Book Rating : 4.5/5 (712 download)

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Book Synopsis Uncle Petros and Goldbach's Conjecture by : Apostolos Doxiadis

Download or read book Uncle Petros and Goldbach's Conjecture written by Apostolos Doxiadis and published by Faber & Faber. This book was released on 2012-11-15 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncle Petros is a family joke. An ageing recluse, he lives alone in a suburb of Athens, playing chess and tending to his garden. If you didn't know better, you'd surely think he was one of life's failures. But his young nephew suspects otherwise. For Uncle Petros, he discovers, was once a celebrated mathematician, brilliant and foolhardy enough to stake everything on solving a problem that had defied all attempts at proof for nearly three centuries - Goldbach's Conjecture. His quest brings him into contact with some of the century's greatest mathematicians, including the Indian prodigy Ramanujan and the young Alan Turing. But his struggle is lonely and single-minded, and by the end it has apparently destroyed his life. Until that is a final encounter with his nephew opens up to Petros, once more, the deep mysterious beauty of mathematics. Uncle Petros and Goldbach's Conjecture is an inspiring novel of intellectual adventure, proud genius, the exhilaration of pure mathematics - and the rivalry and antagonism which torment those who pursue impossible goals.

Goldbach Conjecture

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Author :
Publisher : World Scientific
ISBN 13 : 9812381597
Total Pages : 342 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Goldbach Conjecture by : Yuan Wang

Download or read book Goldbach Conjecture written by Yuan Wang and published by World Scientific. This book was released on 2002 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed description of a most important unsolved mathematical problem ? the Goldbach conjecture. Raised in 1742 in a letter from Goldbach to Euler, this conjecture attracted the attention of many mathematical geniuses. Several great achievements were made, but only until the 1920's. The book gives an exposition of these results and their impact on mathematics, particularly, number theory. It also presents (partly or wholly) selections from important literature, so that readers can get a full picture of the conjecture.

The Goldbach Conjecture

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Author :
Publisher : World Scientific
ISBN 13 : 9789812776600
Total Pages : 346 pages
Book Rating : 4.7/5 (766 download)

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Book Synopsis The Goldbach Conjecture by : Yuan Wang

Download or read book The Goldbach Conjecture written by Yuan Wang and published by World Scientific. This book was released on 2002 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed description of a most important unsolved mathematical problem OCo the Goldbach conjecture. Raised in 1742 in a letter from Goldbach to Euler, this conjecture attracted the attention of many mathematical geniuses. Several great achievements were made, but only until the 1920''s. The book gives an exposition of these results and their impact on mathematics, particularly, number theory. It also presents (partly or wholly) selections from important literature, so that readers can get a full picture of the conjecture."

Goldbach’s Problem

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Author :
Publisher : Springer
ISBN 13 : 9783319579122
Total Pages : 122 pages
Book Rating : 4.5/5 (791 download)

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Book Synopsis Goldbach’s Problem by : Michael Th. Rassias

Download or read book Goldbach’s Problem written by Michael Th. Rassias and published by Springer. This book was released on 2017-07-07 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important results surrounding the proof of Goldbach's ternary conjecture are presented in this book. Beginning with an historical perspective along with an overview of essential lemmas and theorems, this monograph moves on to a detailed proof of Vinogradov's theorem. The principles of the Hardy-Littlewood circle method are outlined and applied to Goldbach's ternary conjecture. New results due to H. Maier and the author on Vinogradov's theorem are proved under the assumption of the Riemann hypothesis. The final chapter discusses an approach to Goldbach's conjecture through theorems by L. G. Schnirelmann. This book concludes with an Appendix featuring a sketch of H. Helfgott's proof of Goldbach's ternary conjecture. The Appendix also presents some biographical remarks of mathematicians whose research has played a seminal role on the Goldbach ternary problem. The author's step-by-step approach makes this book accessible to those that have mastered classical number theory and fundamental notions of mathematical analysis. This book will be particularly useful to graduate students and mathematicians in analytic number theory, approximation theory as well as to researchers working on Goldbach's problem.

The “Vertical” Generalization of the Binary Goldbach’s Conjecture as Applied on “Iterative” Primes with (Recursive) Prime Indexes (i-primeths)

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Author :
Publisher : Infinite Study
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4./5 ( download)

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Book Synopsis The “Vertical” Generalization of the Binary Goldbach’s Conjecture as Applied on “Iterative” Primes with (Recursive) Prime Indexes (i-primeths) by : Andrei-Lucian Drăgoi

Download or read book The “Vertical” Generalization of the Binary Goldbach’s Conjecture as Applied on “Iterative” Primes with (Recursive) Prime Indexes (i-primeths) written by Andrei-Lucian Drăgoi and published by Infinite Study. This book was released on with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: This article proposes a synthesized classification of some Goldbach-like conjectures, including those which are “stronger” than the Binary Goldbach’s Conjecture (BGC) and launches a new generalization of BGC briefly called “the Vertical Binary Goldbach’s Conjecture” (VBGC), which is essentially a metaconjecture, as VBGC states an infinite number of conjectures stronger than BGC, which all apply on “iterative” primes with recursive prime indexes (i-primeths).

Verifying Goldbach's Conjecture

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Author :
Publisher : GRIN Verlag
ISBN 13 : 3656340595
Total Pages : 12 pages
Book Rating : 4.6/5 (563 download)

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Book Synopsis Verifying Goldbach's Conjecture by : Roger Doss

Download or read book Verifying Goldbach's Conjecture written by Roger Doss and published by GRIN Verlag. This book was released on 2012-12-24 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research Paper (postgraduate) from the year 2012 in the subject Computer Science - Applied, Northcentral University, language: English, abstract: Paper discusses Goldbach's Conjecture that all even integers can be represented as the sum of two prime numbers and presents an algorithm to verify the conjecture which is only limited by the size of the primes that can be generated.

The "Vertical" Generalization of Goldbach’s Conjecture – An Infinite Class of Conjectures Stronger than Goldbach’s

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Author :
Publisher : Dr. Andrei-Lucian Drăgoi
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4./5 ( download)

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Book Synopsis The "Vertical" Generalization of Goldbach’s Conjecture – An Infinite Class of Conjectures Stronger than Goldbach’s by : Andrei-Lucian Drăgoi

Download or read book The "Vertical" Generalization of Goldbach’s Conjecture – An Infinite Class of Conjectures Stronger than Goldbach’s written by Andrei-Lucian Drăgoi and published by Dr. Andrei-Lucian Drăgoi. This book was released on 2021-07-30 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work proposes the generalization of the binary (strong) Goldbach’s Conjecture, briefly called “the Vertical Binary Goldbach’s Conjecture”, which is essentially a meta-conjecture because it states an infinite number of conjectures stronger than Goldbach’s, which all apply on “iterative” primes with recursive prime indexes, with many potential theoretical and practical applications in mathematics and physics) and a very special self-similar property of the primes subset of positive integers.

Goldbach Conjecture, 2nd Edition

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Author :
Publisher : World Scientific
ISBN 13 : 981448752X
Total Pages : 342 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Goldbach Conjecture, 2nd Edition by : Yuan Wang

Download or read book Goldbach Conjecture, 2nd Edition written by Yuan Wang and published by World Scientific. This book was released on 2002-11-20 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed description of a most important unsolved mathematical problem — the Goldbach conjecture. Raised in 1742 in a letter from Goldbach to Euler, this conjecture attracted the attention of many mathematical geniuses. Several great achievements were made, but only until the 1920's. The book gives an exposition of these results and their impact on mathematics, particularly, number theory. It also presents (partly or wholly) selections from important literature, so that readers can get a full picture of the conjecture.

Solved and Unsolved Problems in Number Theory

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Author :
Publisher : American Mathematical Society
ISBN 13 : 1470476452
Total Pages : 321 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Solved and Unsolved Problems in Number Theory by : Daniel Shanks

Download or read book Solved and Unsolved Problems in Number Theory written by Daniel Shanks and published by American Mathematical Society. This book was released on 2024-01-24 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The investigation of three problems, perfect numbers, periodic decimals, and Pythagorean numbers, has given rise to much of elementary number theory. In this book, Daniel Shanks, past editor of Mathematics of Computation, shows how each result leads to further results and conjectures. The outcome is a most exciting and unusual treatment. This edition contains a new chapter presenting research done between 1962 and 1978, emphasizing results that were achieved with the help of computers.

The Great Mathematical Problems

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Author :
Publisher : Profile Books
ISBN 13 : 1847653510
Total Pages : 468 pages
Book Rating : 4.8/5 (476 download)

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Book Synopsis The Great Mathematical Problems by : Ian Stewart

Download or read book The Great Mathematical Problems written by Ian Stewart and published by Profile Books. This book was released on 2013-03-07 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincaré Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

Closing the Gap

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Author :
Publisher : Oxford University Press
ISBN 13 : 0191092436
Total Pages : 171 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Closing the Gap by : Vicky Neale

Download or read book Closing the Gap written by Vicky Neale and published by Oxford University Press. This book was released on 2017-09-29 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2013, a little known mathematician in his late 50s stunned the mathematical community with a breakthrough on an age-old problem about prime numbers. Since then, there has been further dramatic progress on the problem, thanks to the efforts of a large-scale online collaborative effort of a type that would have been unthinkable in mathematics a couple of decades ago, and the insight and creativity of a young mathematician at the start of his career. Prime numbers have intrigued, inspired and infuriated mathematicians for millennia. Every school student studies prime numbers and can appreciate their beauty, and yet mathematicians' difficulty with answering some seemingly simple questions about them reveals the depth and subtlety of prime numbers. Vicky Neale charts the recent progress towards proving the famous Twin Primes Conjecture, and the very different ways in which the breakthroughs have been made: a solo mathematician working in isolation and obscurity, and a large collaboration that is more public than any previous collaborative effort in mathematics and that reveals much about how mathematicians go about their work. Interleaved with this story are highlights from a significantly older tale, going back two thousand years and more, of mathematicians' efforts to comprehend the beauty and unlock the mysteries of the prime numbers.

Goldbach’s Problem

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Author :
Publisher : Springer
ISBN 13 : 3319579142
Total Pages : 129 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Goldbach’s Problem by : Michael Th. Rassias

Download or read book Goldbach’s Problem written by Michael Th. Rassias and published by Springer. This book was released on 2017-06-25 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important results surrounding the proof of Goldbach's ternary conjecture are presented in this book. Beginning with an historical perspective along with an overview of essential lemmas and theorems, this monograph moves on to a detailed proof of Vinogradov's theorem. The principles of the Hardy-Littlewood circle method are outlined and applied to Goldbach's ternary conjecture. New results due to H. Maier and the author on Vinogradov's theorem are proved under the assumption of the Riemann hypothesis. The final chapter discusses an approach to Goldbach's conjecture through theorems by L. G. Schnirelmann. This book concludes with an Appendix featuring a sketch of H. Helfgott's proof of Goldbach's ternary conjecture. The Appendix also presents some biographical remarks of mathematicians whose research has played a seminal role on the Goldbach ternary problem. The author's step-by-step approach makes this book accessible to those that have mastered classical number theory and fundamental notions of mathematical analysis. This book will be particularly useful to graduate students and mathematicians in analytic number theory, approximation theory as well as to researchers working on Goldbach's problem.

Professor Stewart's Cabinet of Mathematical Curiosities

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Author :
Publisher : Basic Books
ISBN 13 : 078672725X
Total Pages : 322 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis Professor Stewart's Cabinet of Mathematical Curiosities by : Ian Stewart

Download or read book Professor Stewart's Cabinet of Mathematical Curiosities written by Ian Stewart and published by Basic Books. This book was released on 2009-01-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowing that the most exciting math is not taught in school, Professor Ian Stewart has spent years filling his cabinet with intriguing mathematical games, puzzles, stories, and factoids intended for the adventurous mind. This book reveals the most exhilarating oddities from Professor Stewart's legendary cabinet. Inside, you will find hidden gems of logic, geometry, and probability-like how to extract a cherry from a cocktail glass (harder than you think), a pop-up dodecahedron, and the real reason why you can't divide anything by zero. Scattered among these are keys to Fermat's last theorem, the Poincaréonjecture, chaos theory, and the P=NP problem (you'll win a million dollars if you solve it). You never know what enigmas you'll find in the Stewart cabinet, but they're sure to be clever, mind-expanding, and delightfully fun.

Goldbach's Conjecture and Structures of Primes in Number Theory

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Author :
Publisher :
ISBN 13 : 9783832291662
Total Pages : 68 pages
Book Rating : 4.2/5 (916 download)

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Book Synopsis Goldbach's Conjecture and Structures of Primes in Number Theory by : Uwe Kraeft

Download or read book Goldbach's Conjecture and Structures of Primes in Number Theory written by Uwe Kraeft and published by . This book was released on 2010 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Method of Trigonometrical Sums in the Theory of Numbers

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486154521
Total Pages : 194 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Method of Trigonometrical Sums in the Theory of Numbers by : I. M. Vinogradov

Download or read book The Method of Trigonometrical Sums in the Theory of Numbers written by I. M. Vinogradov and published by Courier Corporation. This book was released on 2013-10-30 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text investigates Waring's problem, approximation by fractional parts of the values of a polynomial, estimates for Weyl sums, distribution of fractional parts of polynomial values, Goldbach's problem, more. 1954 edition.

The Way of Analysis

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Publisher : Jones & Bartlett Learning
ISBN 13 : 9780763714970
Total Pages : 764 pages
Book Rating : 4.7/5 (149 download)

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Book Synopsis The Way of Analysis by : Robert S. Strichartz

Download or read book The Way of Analysis written by Robert S. Strichartz and published by Jones & Bartlett Learning. This book was released on 2000 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Way of Analysis gives a thorough account of real analysis in one or several variables, from the construction of the real number system to an introduction of the Lebesgue integral. The text provides proofs of all main results, as well as motivations, examples, applications, exercises, and formal chapter summaries. Additionally, there are three chapters on application of analysis, ordinary differential equations, Fourier series, and curves and surfaces to show how the techniques of analysis are used in concrete settings.

Correspondence of Leonhard Euler with Christian Goldbach

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Author :
Publisher : Birkhäuser
ISBN 13 : 9783034808927
Total Pages : 0 pages
Book Rating : 4.8/5 (89 download)

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Book Synopsis Correspondence of Leonhard Euler with Christian Goldbach by : Leonhard Euler

Download or read book Correspondence of Leonhard Euler with Christian Goldbach written by Leonhard Euler and published by Birkhäuser. This book was released on 2015-10-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: When Leonhard Euler first arrived at the Russian Academy of Sciences, at the age of 20, his career was supported and promoted by the Academy’s secretary, the Prussian jurist and amateur mathematician Christian Goldbach (1690-1764). Their encounter would grow into a lifelong friendship, as evinced by nearly 200 letters sent over 35 years. This exchange – Euler’s most substantial long-term correspondence – has now been edited for the first time with an English translation, ample commentary and documentary indices. These present an overview of 18th-century number theory, its sources and repercussions, many details of the protagonists’ biographies, and a wealth of insights into academic life in St. Petersburg and Berlin between 1725 and 1765. Part I includes an introduction and the original texts of the Euler-Goldbach letters, while Part II presents the English translations and documentary indices.