Serre
Grothendieck-Serre Correspondence 豆瓣
This extraordinary volume contains a large part of the mathematical correspondence between A. Grothendieck and J.-P. Serre. It forms a vivid introduction to the study of algebraic geometry during the years 1955-1965. During this period, algebraic geometry went through a remarkable transformation, and Grothendieck and Serre were among central figures in this process. In the book, the reader can follow the creation of some of the most important notions of modern mathematics, such assheaf cohomology, schemes, Riemann-Roch type theorems, algebraic fundamental group, motives, etc. The letters also reflect the mathematical and political atmosphere of this period (Bourbaki, Paris, Harvard, Princeton, war in Algeria, etc.). Also included are letters written between 1984 and 1987. Theletters are supplemented by J-P.Serre's notes, which give explanations, corrections, and references to further results. The book is a unique bilingual (French and English) volume. The original French text is supplemented here by the English translation, with French text printed on the left-hand pages and the corresponding English text printed on the right. The book also includes several facsimiles of original letters. The original French volume was edited by Pierre Colmez and J-P. Serre. TheEnglish translation for this volume was translated by Catriona Maclean and edited by J-P. Serre and Leila Schneps. The book should be useful to specialists in algebraic geometry, mathematical historians, and to all mathematicians who want to experience the unfolding of great mathematics.
数论教程 豆瓣
A Course in Arithmetic
作者:
塞尔
译者:
冯克勤
出版社:
高等教育出版社
2007
- 4
《数论教程》是著名法国数学家、菲尔兹奖获得者Jean—Pierre Serre在20世纪 60年代为法国巴黎高等师范学院二年级授课的数论讲义。讲义对数论的三个基本领域:二次型、Dirichlet密度函数和模形式进行了精练和现代的介绍。内容分为两个部分。第一部分用局部化和p-adic工具讲述有理数域上二次型的局部一整体原则(算术理论),第二部分为解析理论,讲述算术级数中素数分布定理的解析证明和模形式理论。《数论教程》自成体系,叙述简洁明快,深入浅出,被公认是学习近代数论的经典入门书籍。