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Synopsis
This edition has been called ‘startlingly up-to-date’, and in this corrected second printing you can be sure that it’s even more contemporaneous. It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a segment dedicated to arithmetical cohomology and noncommutative geometry as well as a report on point counts on varieties with many rational points. Also covered is the recent polynomial time algorithm for primality testing, among other subjects.
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A brilliant and coherent summation of both the modern state and the trends of continuing development in various branches of number theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories (Encyclopaedia of Mathematical Sciences, 49)
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Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories (Encyclopaedia of Mathematical Sciences, 49)
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Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories (Encyclopaedia of Mathematical Sciences, 49)
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Introduction to Modern Number Theory : Fundamental Problems, Ideas and Theories
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Introduction to Modern Number Theory (Paperback)
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Paperback. Etat : new. Paperback. "Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a part dedicated to arithmetical cohomology and noncommutative geometry, a report on point counts on varieties with many rational points, the recent polynomial time algorithm for primality testing, and some others subjects.From the reviews of the 2nd edition:" For my part, I come to praise this fine volume. This book is a highly instructive read the quality, knowledge, and expertise of the authors shines through. The present volume is almost startlingly up-to-date ." (A. van der Poorten, Gazette, Australian Math. Soc. 34 (1), 2007) "Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783642057977
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Introduction to Modern Number Theory
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Springer Berlin Heidelberg, 2010
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Introduction to Modern Number Theory
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -'Introduction to Modern Number Theory' surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a part dedicated to arithmetical cohomology and noncommutative geometry, a report on point counts on varieties with many rational points, the recent polynomial time algorithm for primality testing, and some others subjects.From the reviews of the 2nd edition:'. For my part, I come to praise this fine volume. This book is a highly instructive read . the quality, knowledge, and expertise of the authors shines through. . The present volume is almost startlingly up-to-date .' (A. van der Poorten, Gazette, Australian Math. Soc. 34 (1), 2007) 532 pp. Englisch. N° de réf. du vendeur 9783642057977
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Introduction to Modern Number Theory : Fundamental Problems, Ideas and Theories
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ISBN 10 : 3642057977
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Introduction to Modern Number Theory
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Introduction to Modern Number Theory
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ISBN 13 : 9783642057977
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Etat : New. A brilliant and coherent summation of both the modern state and the trends of continuing development in various branches of number theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Series: Encyclopaedia of Mathematical Sciences. Num Pages: 530 pages, biography. BIC Classification: PBH. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 27. Weight in Grams: 738. . 2010. 2nd ed. Softcover of orig. ed. 2005. Paperback. . . . . N° de réf. du vendeur V9783642057977
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