算术教程 pdf epub mobi txt 电子书下载 2024

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Jean-Pierre Serre

世界图书出版公司

2009-8

115

19.00元

Paperback

Graduate Texts in Mathematics

9787510005350

图书标签: 数学数论 J-P.Serre GTM 经典科学美学数学,GTM 代数

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发表于2024-12-26

算术教程 epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

算术教程 pdf epub mobi txt 电子书下载 2024

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《算术教程(英文版)》讲述了：The first one is purely algebraic. Its objective is the classification ofquadratic forms over the field of rational numbers （Hasse-Minkowskitheorem）. It is achieved in Chapter IV. The first three chapters contain somepreliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols.Chapter V applies the preceding results to integral quadratic forms indiscriminant + 1. These forms occur in various questions: modular functions,differential topology, finite groups. The second part （Chapters VI and VII） uses "analytic" methods （holomor-phic functions）. Chapter VI gives the proof of the "theorem on arithmeticprogressions" due to Dirichlet; this theorem is used at a critical point in thefirst part （Chapter 111, no. 2.2）. Chapter VII deals with modular forms,and in particular, with theta functions. Some of the quadratic forms ofChapter V reappear here.

算术教程下载 mobi epub pdf txt 电子书