| 书目名称 | Introduction to Modern Number Theory | | 副标题 | Fundamental Problems | | 编辑 | Yuri Ivanovic Manin,Alexei A. Panchishkin | | 视频video | | | 概述 | Covers the most recent results around Fermat‘s Theorem (Andrew Wiles) and the Langlands Conjecture (Lafforgue).Includes supplementary material: | | 丛书名称 | Encyclopaedia of Mathematical Sciences | | 图书封面 |  | | 描述 | ."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). | | 出版日期 | Book 2005Latest edition | | 关键词 | Arithmetic; Arithmetic der algebraischen Zahlen; Elementare Zahlentheorie; Elementary number theory; Lan | | 版次 | 2 | | doi | https://doi.org/10.1007/3-540-27692-0 | | isbn_softcover | 978-3-642-05797-7 | | isbn_ebook | 978-3-540-27692-0Series ISSN 0938-0396 | | issn_series | 0938-0396 | | copyright | Springer-Verlag Berlin Heidelberg 2005 |
The information of publication is updating
|
|
发表于 2025-3-21 19:17:16
