Fourier Analysis on Number Fields (Graduate Texts in Mathematics) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Dinakar Ramakrishnan 作者

Springer

译者

1998-12-07 出版日期

374 页数

USD 79.95 价格

Hardcover

丛书系列

9780387984360 图书编码

Fourier Analysis on Number Fields (Graduate Texts in Mathematics) 在线电子书图书标签: 数学数论代数数论7 代数数论 number_theory Math 分析代数

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发表于2024-12-23

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Fourier Analysis on Number Fields (Graduate Texts in Mathematics) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Fourier Analysis on Number Fields (Graduate Texts in Mathematics) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

Fourier Analysis on Number Fields (Graduate Texts in Mathematics) 在线电子书用户评价

评分☆☆☆☆☆

写得太啰嗦，不过取材还不错

评分☆☆☆☆☆

我…读不下去，太啰嗦了……材料选的不错

评分☆☆☆☆☆

我…读不下去，太啰嗦了……材料选的不错

评分☆☆☆☆☆

不错。用调和分析的角度来看待代数数论。算是GL(1)的表示论。不过，另外一本用解析语言写代数数论的书很值得读 L.J. Goldstein, Analytic Number Theory

评分☆☆☆☆☆

我…读不下去，太啰嗦了……材料选的不错

Fourier Analysis on Number Fields (Graduate Texts in Mathematics) 在线电子书著者简介

Fourier Analysis on Number Fields (Graduate Texts in Mathematics) 在线电子书图书目录

Fourier Analysis on Number Fields (Graduate Texts in Mathematics) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Fourier Analysis on Number Fields (Graduate Texts in Mathematics) 在线电子书图书描述

The general aim of this book is to provide a modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasizing harmonic analysis on topological groups. The more particular goal is to cover John Tate's visionary thesis, giving virtually all of the necessary analytic details and topological preliminaries--technical prerequisites that are often foreign to the typical, more algebraically inclined number theorist. While most of the existing treatments of Tate's thesis are somewhat terse and less than complete, our intent is to be more leisurely, more comprehensive, and more comprehensible. The text addresses students who have taken a year of graduate-level course in algebra, analysis, and topology. While the choice of objects and methods is naturally guided by specific mathematical goals, the approch is by no means narrow. In fact, the subject matter at hand is germane not only to budding number theorists, but also to students of harmonic analysis or the representation theory of Lie groups. Moreover, the work should be a good reference for working mathematicians interested in any of these fields. Specific topics include: topologcial groups, representation theory, duality for locally compact abelian groups, the structure of arithmetic fields, adeles and ideles, an introduction to class field theory, and Tate's thesis and applications.

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