Introduction to Modern Number Theory
Manin, Yu.; Panchishkin, Alexei A.
ISBN 10: 3642057977 ISBN 13: 9783642057977
Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2010
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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. 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. . . . . Books ship from the US and Ireland. Seller Inventory # V9783642057977
Synopsis:
"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)
Language Notes:
Text: English (translation)
Original Language: Russian
"About this title" may belong to another edition of this title.
Bibliographic Details
Title: Introduction to Modern Number Theory
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Publication Date: 2010
Binding: Soft cover
Condition: New
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Paperback. Condition: 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. Seller Inventory # 9783642057977
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Introduction to Modern Number Theory : Fundamental Problems, Ideas and Theories
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - '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). Seller Inventory # 9783642057977
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Introduction to Modern Number Theory
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Taschenbuch. Condition: 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. Seller Inventory # 9783642057977
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Introduction to Modern Number Theory
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. 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)Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 532 pp. Englisch. Seller Inventory # 9783642057977
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