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Not a third number theory, but a third volume, the final in a series on number theory that applies fundamental methods of modern number theory to elucidate the mystery of prime numbers. It looks at modular forms and Iwasawa theory, and illustrates them with many examples for non-specialists and beginners. The introduction reviews developments from before Fermat to his famous last theorem. Other topics are rational points on elliptic curves, conics and the p-adic numbers, the zeta function, and algebraic number theory. Exercises and questions are provided, along with answers. The Japanese original was published by Iwanami Shoten Publishers, Tokyo, in 1998 and in a second edition in 2005. The translation is by Masato Kuwata. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)
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Number Theory 3: Iwasawa Theory and Modular Forms (Translations of Mathematical Monographs)
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AmerICAN Mathematical Society, 2012
ISBN 10: 0821820958
ISBN 13: 9780821820957
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Number Theory 3
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Paperback. Condizione: New. This is the third of three related volumes on number theory. (The first two volumes were also published in the Iwanami Series in Modern Mathematics, as volumes 186 and 240.) The two main topics of this book are Iwasawa theory and modular forms. The presentation of the theory of modular forms starts with several beautiful relations discovered by Ramanujan and leads to a discussion of several important ingredients, including the zeta-regularized products, Kronecker's limit formula, and the Selberg trace formula. The presentation of Iwasawa theory focuses on the Iwasawa main conjecture, which establishes far-reaching relations between a $p$-adic analytic zeta function and a determinant defined from a Galois action on some ideal class groups. This book also contains a short exposition on the arithmetic of elliptic curves and the proof of Fermat's last theorem by Wiles. Together with the first two volumes, this book is a good resource for anyone learning or teaching modern algebraic number theory. Codice articolo LU-9780821820957
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Number Theory 3
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American Mathematical Society, US, 2012
ISBN 10: 0821820958
ISBN 13: 9780821820957
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Paperback. Condizione: New. This is the third of three related volumes on number theory. (The first two volumes were also published in the Iwanami Series in Modern Mathematics, as volumes 186 and 240.) The two main topics of this book are Iwasawa theory and modular forms. The presentation of the theory of modular forms starts with several beautiful relations discovered by Ramanujan and leads to a discussion of several important ingredients, including the zeta-regularized products, Kronecker's limit formula, and the Selberg trace formula. The presentation of Iwasawa theory focuses on the Iwasawa main conjecture, which establishes far-reaching relations between a $p$-adic analytic zeta function and a determinant defined from a Galois action on some ideal class groups. This book also contains a short exposition on the arithmetic of elliptic curves and the proof of Fermat's last theorem by Wiles. Together with the first two volumes, this book is a good resource for anyone learning or teaching modern algebraic number theory. Codice articolo LU-9780821820957
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Number Theory 3: Iwasawa Theory and Modular Forms (Translations of Mathematical Monographs)
Editore:
AmerICAN Mathematical Society, 2012
ISBN 10: 0821820958
ISBN 13: 9780821820957
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Condizione: New. Num Pages: 240 pages. BIC Classification: PBH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152. . . 2012. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9780821820957
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Kurokawa, N: Number Theory 3
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Condizione: New. KlappentextrnrnThis is the third of three related volumes on number theory. The two main topics of this book are Iwasawa theory and modular forms. The presentation of the theory of modular forms starts with several beautiful relations discovered. Codice articolo 595067889
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Number Theory 3: Iwasawa Theory and Modular Forms
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Number Theory 3 : Iwasawa Theory and Modular Forms
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Number Theory 3
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Taschenbuch. Condizione: Neu. Neuware - This is the third of three related volumes on number theory. The two main topics of this book are Iwasawa theory and modular forms. The presentation of the theory of modular forms starts with several beautiful relations discovered by Ramanujan and leads to a discussion of several important ingredients. The presentation of Iwasawa theory focuses on the Iwasawa main conjecture, which establishes far-reaching relations between a $p$-adic analytic zeta function and a determinant defined from a Galois action on some ideal class groups. Codice articolo 9780821820957
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