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In this critically acclaimed international bestseller, Petros Papachristos, a mathematical prodigy, has devoted much of his life trying to prove one of the greatest mathematical challenges of all time: Goldbach's Conjecture, the deceptively simple claim that every even number greater than two is the sum of two primes. His feverish and singular pursuit of this goal has come to define his life. Now an old man, he is looked on with suspicion and shame by his family-until his ambitious young nephew intervenes.Seeking to understand his uncle's mysterious mind, the narrator of this novel unravels his story, a dramatic tale set against a tableau of brilliant historical figures-among them G. H. Hardy, the self-taught Indian genius Srinivasa Ramanujan, and a young Kurt Gödel. Meanwhile, as Petros recounts his own life's work, a bond is formed between uncle and nephew, pulling each one deeper into mathematical obsession, and risking both of their sanity.

In the tradition of Fermat's Last Theorem and Einstein's Dreams, a novel about mathematical obsession.Petros Papachristos devotes the early part of his life trying to prove one of the greatest mathematical challenges of all time: Goldbach's Conjecture, the deceptively simple claim that every even number greater than two is the sum of two primes. Against a tableau of famous historical figures-among them G.H. Hardy, the self-taught Indian genius Srinivasa Ramanujan, and a young Kurt Godel-Petros works furiously to prove the notoriously difficult conjecture. Decades later, his ambitious young nephew drives the defeated mathematician back into the hunt to prove Goldbach's Conjecture. . . but at the cost of the old man's sanity, and perhaps even his life.

This book brings together works by German-born, London-based abstractionist Markus Amm (born 1969) from the past ten years and includes an interview between Amm and Ines Goldbach, and a text by Jan Verwoert. With a focus on Amm’s abstract paintings made on chalk grounds and other surfaces, it includes installation views of various exhibitions from 2006–17.

This book brings together works by German-born, London-based abstractionist Markus Amm (born 1969) from the past ten years and includes an interview between Amm and Ines Goldbach, and a text by Jan Verwoert. With a focus on Amm’s abstract paintings made on chalk grounds and other surfaces, it includes installation views of various exhibitions from 2006–17.

Sieve theory has a rich and romantic history. The ancient question of whether there exist infinitely many twin primes (primes p such that p+2 is also prime), and Goldbach's conjecture that every even number can be written as the sum of two prime numbers, have been two of the problems that have inspired the development of the theory. This book provides a motivating introduction to sieve theory. Rather than focus on technical details which can obscure the beauty of the theory, the authors focus on examples and applications, developing the theory in parallel. The text can be used for a senior level undergraduate course or an introductory graduate course in analytic number theory.

This book provides an introduction to four central problems in analytic number theory. These are (1) the problem of estimating the number of integerpoints in planar domains (2) the problem of the distribution of prime numbers in the sequence of all natural numbers and in arithmetic progressions (3) Goldbach's problem on sums of primes, and (4) Waring's problem on sums of k-th powers. To solve these problems, one uses the fundamental methods of analytic number theory: complex integration, I.M.Vinogradov's method of trigonometric sums, and the circle method of G.H.Hardy, J.E.Littlewood, and S.Ramanujan. There are numerous exercises at the end of each chapter. These exercises either refine the theorems proved in the text, or lead to new ideas in number theory. The author also includes a section of hints for the solution of the exercises. The mathematical prerequisites for this volume are undergraduate courses in number theroy, mathematical analysis, and complex variables. The book would be an excellent text for a one or two semester course in analytic number theory for advanced undergraduates or graduate students.

Sieve theory has a rich and romantic history. The ancient question of whether there exist infinitely many twin primes (primes p such that p+2 is also prime), and Goldbach's conjecture that every even number can be written as the sum of two prime numbers, have been two of the problems that have inspired the development of the theory. This book provides a motivating introduction to sieve theory. Rather than focus on technical details which can obscure the beauty of the theory, the authors focus on examples and applications, developing the theory in parallel. The text can be used for a senior level undergraduate course or an introductory graduate course in analytic number theory.

Gebundene Ausgabe Keip, Goldbach, 1996. XVII, 2 Blatt, 42 S., mit einer mehrfach gefalteten, farbigen Karte, Leinen---- Nachdruck der Ausgabe von Th. G. Fischer und Co. Kassel 1896 - sehr gutes Expl. Sprache: Deutsch Gewicht in Gramm: 550

Where can you hear an old man in a nursing home tell of how he disproved Goldbach's Conjecture as part of an undergraduate research project? Get inside the mind of James Clerk Maxwell as he discovers electro-magnetic waves? Witness the 19th century's greatest mathematician finally get the credit she was denied by sexism and murder? In Reality Conditions, a collection of short stories spanning a variety of genres, you can share in these and other fictional mathematical experiences. Each story is a mathematical journey designed to entertain, educate and tantalize. There is something here for everyone: humor, drama, the little details to the big picture, science fiction to true histories. Through these stories, those with little mathematical background will encounter some of the most interesting parts of the field of mathematics for the first time. Even professional mathematicians will be captivated by ideas that take us to the limits of knowledge, addressing the questions of how mathematics is related to the human mind and how it is related to reality. The book is perfect for leisure reading. Join one of the leading experts in the area of mathematical fiction as he takes us on a whirlwind tour of mathematics, both real and imaginary.

This book provides an introduction to four central problems in analytic number theory. These are (1) the problem of estimating the number of integerpoints in planar domains (2) the problem of the distribution of prime numbers in the sequence of all natural numbers and in arithmetic progressions (3) Goldbach's problem on sums of primes, and (4) Waring's problem on sums of k-th powers. To solve these problems, one uses the fundamental methods of analytic number theory: complex integration, I.M.Vinogradov's method of trigonometric sums, and the circle method of G.H.Hardy, J.E.Littlewood, and S.Ramanujan. There are numerous exercises at the end of each chapter. These exercises either refine the theorems proved in the text, or lead to new ideas in number theory. The author also includes a section of hints for the solution of the exercises. The mathematical prerequisites for this volume are undergraduate courses in number theroy, mathematical analysis, and complex variables. The book would be an excellent text for a one or two semester course in analytic number theory for advanced undergraduates or graduate students.