圖書標籤: 數學 數論 J-P.Serre GTM 經典 科學美學 數學,GTM 代數
发表于2024-11-25
算術教程 pdf epub mobi txt 電子書 下載 2024
《算術教程(英文版)》講述瞭: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.
太考智商……
評分太簡潔,學得纍...
評分名字看起來很low,其實深刻的不行,最好有深厚代數基礎再看,畢竟塞爾也是跟格羅滕迪剋一起工作的大師
評分弄完瞭。又讀瞭一本塞爾的書。有些小錯誤。
評分淺顯易懂!
P.40 引理, e_1 . e_i eq 0 应该改为 e_1 e'_i eq 0 跳过一行 x^2 eq -(e_1. e_1)/(e_2.e_2) 应该改为 x^2 eq -(e'_1. e'_1)/(e'_2.e'_2)
評分P.40 引理, e_1 . e_i eq 0 应该改为 e_1 e'_i eq 0 跳过一行 x^2 eq -(e_1. e_1)/(e_2.e_2) 应该改为 x^2 eq -(e'_1. e'_1)/(e'_2.e'_2)
評分P.40 引理, e_1 . e_i eq 0 应该改为 e_1 e'_i eq 0 跳过一行 x^2 eq -(e_1. e_1)/(e_2.e_2) 应该改为 x^2 eq -(e'_1. e'_1)/(e'_2.e'_2)
評分P.40 引理, e_1 . e_i eq 0 应该改为 e_1 e'_i eq 0 跳过一行 x^2 eq -(e_1. e_1)/(e_2.e_2) 应该改为 x^2 eq -(e'_1. e'_1)/(e'_2.e'_2)
評分P.40 引理, e_1 . e_i eq 0 应该改为 e_1 e'_i eq 0 跳过一行 x^2 eq -(e_1. e_1)/(e_2.e_2) 应该改为 x^2 eq -(e'_1. e'_1)/(e'_2.e'_2)
算術教程 pdf epub mobi txt 電子書 下載 2024