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Author: Yuan Wang
Publisher: World Scientific
ISBN: 981448752X
Category : Mathematics
Languages : en
Pages : 342
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Book Description
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.
Author: Yuan Wang
Publisher: World Scientific
ISBN: 981448752X
Category : Mathematics
Languages : en
Pages : 342
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Book Description
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.
Author: Apostolos Doxiadis
Publisher: Faber & Faber
ISBN: 057129569X
Category : Fiction
Languages : en
Pages : 148
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Book Description
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.
Author: Russell Connor
Publisher: Dorrance Publishing
ISBN: 1480926175
Category : Mathematics
Languages : en
Pages : 51
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Book Description
Essays in the Foundations of Mathematics, 2nd ed. By: Russell Connor The content of this second edition is identical to that of the first, except for two additional essays and an elaboration in Richard’s paradox. The first of these, which would have to be considered the jewel in any crown, supplies the missing demonstrations of Fermat's last theorem. They are short and easy to read, but they took a very long time to find: twenty-five years for me, almost eighteen hundred years for mankind, not counting Fermat’s lost proof. As I explain below, the Wiles proof is not allowable. The other essay addresses the so-called formula of Euler, and shows that it cannot possibly be true. How did it ever gain currency? Did both Cotes and Euler commit a procedural error that went undetected? It is possible, but highly unlikely. I can think of only one other cause, and that is that the entire concept of imaginary numbers is invalid, that there is no such thing as a square root of negative unity. Consequently all problems that rely on imaginary numbers for their statements are false problems, and all proofs that rely on imaginary numbers, such as Legendre's proof of the irrationality of pi, Gauss’s proof of the so-called fundamental theorem of algebra, Lindemann’s proof of his corollary concerning the transcendence of pi, and Wiles’s proof of Fermat’s last theorem, are, through no fault of the gentlemen’s, false proofs. (2018, Hardcover with Jacket, 48 pages)
Author: Malik S.B.
Publisher: Vikas Publishing House
ISBN: 9780706987492
Category : Mathematics
Languages : en
Pages : 232
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Book Description
This book is designed to meet the needs of the first course in Number Theory for the undergraduate students of various Indian and foreign universities. The students who are appearing at various competitive examinations where mathematics is on for testing shall also find it useful.
Author: Martin Liebeck
Publisher: CRC Press
ISBN: 9781584881933
Category : Mathematics
Languages : en
Pages : 180
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Book Description
For many students interested in pursuing - or required to pursue - the study of mathematics, a critical gap exists between the level of their secondary school education and the background needed to understand, appreciate, and succeed in mathematics at the university level. A Concise Introduction to Pure Mathematics provides a robust bridge over this gap. In nineteen succinct chapters, it covers the range of topics needed to build a strong foundation for the study of the higher mathematics. Sets and proofs Inequalities Real numbers Decimals Rational numbers Introduction to analysis Complex numbers Polynomial equations Induction Integers and prime numbers Counting methods Countability Functions Infinite sets Platonic Solids Euler's Formula Written in a relaxed, readable style, A Concise Introduction to Pure Mathematics leads students gently but firmly into the world of higher mathematics. It demystifies some of the perceived abstractions, intrigues its readers, and entices them to continue their exploration on to analysis, number theory, and beyond.
Author: Eric W. Weisstein
Publisher: CRC Press
ISBN: 1420035223
Category : Mathematics
Languages : en
Pages : 3253
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Book Description
Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Author: Michael P. Lynch
Publisher: MIT Press
ISBN: 0262362090
Category : Philosophy
Languages : en
Pages : 769
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Book Description
The definitive and essential collection of classic and new essays on analytic theories of truth, revised and updated, with seventeen new chapters. The question "What is truth?" is so philosophical that it can seem rhetorical. Yet truth matters, especially in a "post-truth" society in which lies are tolerated and facts are ignored. If we want to understand why truth matters, we first need to understand what it is. The Nature of Truth offers the definitive collection of classic and contemporary essays on analytic theories of truth. This second edition has been extensively revised and updated, incorporating both historically central readings on truth's nature as well as up-to-the-moment contemporary essays. Seventeen new chapters reflect the current trajectory of research on truth.
Author: Stephen Fletcher Hewson
Publisher: World Scientific Publishing Company
ISBN: 9813101245
Category : Mathematics
Languages : en
Pages : 672
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Book Description
Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does.The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.
Author: Ethan Canin
Publisher: Random House
ISBN: 081299678X
Category : Fiction
Languages : en
Pages : 588
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Book Description
NEW YORK TIMES BESTSELLER • In this mesmerizing novel, Ethan Canin, the author of America America and The Palace Thief, explores the nature of genius, rivalry, ambition, and love among multiple generations of a gifted family. Milo Andret is born with an unusual mind. A lonely child growing up in the woods of northern Michigan in the 1950s, he gives little thought to his own talent. But with his acceptance at U.C. Berkeley he realizes the extent, and the risks, of his singular gifts. California in the seventies is a seduction, opening Milo’s eyes to the allure of both ambition and indulgence. The research he begins there will make him a legend; the woman he meets there—and the rival he meets alongside her—will haunt him for the rest of his life. For Milo’s brilliance is entwined with a dark need that soon grows to threaten his work, his family, even his existence. Spanning seven decades as it moves from California to Princeton to the Midwest to New York, A Doubter’s Almanac tells the story of a family as it explores the way ambition lives alongside destructiveness, obsession alongside torment, love alongside grief. It is a story of how the flame of genius both lights and scorches every generation it touches. Graced by stunning prose and brilliant storytelling, A Doubter’s Almanac is a surprising, suspenseful, and deeply moving novel, a major work by a writer who has been hailed as “the most mature and accomplished novelist of his generation.” Praise for A Doubter’s Almanac “551 pages of bliss . . . devastating and wonderful . . . dazzling . . . You come away from the book wanting to reevaluate your choices and your relationships. It’s a rare book that can do that, and it’s a rare joy to discover such a book.”—Esquire “[Canin] is at the top of his form, fluent, immersive, confident. You might not know where he’s taking you, but the characters are so vivid, Hans’s voice rendered so precisely, that it’s impossible not to trust in the story. . . . The delicate networks of emotion and connection that make up a family are illuminated, as if by magic, via his prose.”—Slate “Alternately explosive and deeply interior.”—New York (“Eight Books You Need to Read”) “A blazingly intelligent novel.”—Los Angeles Times “[A] beautifully written novel.”—The New York Times Book Review (Editors’ Choice)
Author: R Sivaramakrishnan
Publisher: CRC Press
ISBN: 1351023330
Category : Mathematics
Languages : en
Pages : 444
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Book Description
The book attempts to point out the interconnections between number theory and algebra with a view to making a student understand certain basic concepts in the two areas forming the subject-matter of the book.
