Mathematicians

Nicolas Bourbaki (1934- ) 

Elements De Mathematique I-X

 

Roger Godement (1921-2016) 法国自守函数之父【Bourbaki

Analysis I: Convergence, Elementary function
Analysis II: Differential and Integral Calculus, Fourier Series, Holomorphic Functions 
Analysis III: Analytic and Differential Functions, Manifolds and Riemann Surfaces 
Analysis IV: Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights 

Algebra《代数学教程

Introduction to the Theory of Lie Groups 

Notes on Jacquet-Langlands' theory 

 

Stephen Willard : General topology

Freitag : Complex analysis 1,2

Kodaira : Complex analysis

 

Israel Moiseevich Gelfand (1913-2009) 巴拿赫代数、C*代数、泛函分析、表示论、非交换几何

Generalized Functions, I-V 【泛函分析,老,强】

《盖尔范特文选》.凡3卷,共收入论文167篇

Gelfand & ManinMethods of Homological Algebra 【有趣,typo多】

 

Elias M. Stein (1931-2018) 调和分析
Harmonic analysis. 1993. Princeton University Press

 

Jean-Pierre Serre (1926.09.15- ) 拓扑学、代数几何、数论

A Course in Arithmetic

Linear Representations of Finite Groups

Local Fields

Faisceaux Algébriques Cohérents,简称FAC,代数凝聚层

Géométrie Algébriqueet Géométrie Analytique,简称GAGA,代数几何与解析几何

 

John Milnor (1931.02.21- ) 微分拓扑、K-理论、动力系统【写书好

Topology from the differential viewpoint

Morse Theory

Characteristic Classes

Dynamics in one complex variable

Steenrod algebra and its dual

Construction of universal bundles

 

André Weil (1906-1998) 代数几何与数论的联系【Bourbaki

《拓扑群的积分及其应用》(1940年)

《代数几何学基础》(1946年)

《数论基础》(1967年)

《阿贝尔流形和代数曲线》(1948年)

《数论,从汉穆拉比到勒让德的历史研究》(1983年)

The Apprenticeship of a Mathematician (1991)

 

Jean Alexandre Eugène Dieudonné (1906-1992) 【Bourbaki 主笔

9 volumes of Éléments d'analyse (1960-1982), éd. Gauthier-Villars (Foundations of Modern Analysis. Academic Press. 1960.)

The work of Nicolas Bourbaki. Amer. Math. Monthly. 1970, 77: 134–145.

Historical development of algebraic geometry . American Mathematical Monthly 79. Oct 1972: 827–866. doi:10.2307/2317664.

Dieudonné, Jean Alexandre, A panorama of pure mathematics, Pure and Applied Mathematics 97, London: Academic Press Inc. [Harcourt Brace Jovanovich Publishers], 1982, ISBN 978-0-12-215560-4, MR 0478177

History of functional analysis. North-Holland. 1981.

A History of Algebraic and Differential Topology 1900-1960. Birkhäuser Boston. 1988.

Mathematics - the music of reason. Springer. 1992.

 

Alexander Grothendieck (1928-2014) 泛函分析、拓扑K理论、同调代数、代数几何【Bourbaki

Tôhoku paper 【同调代数,提纲挈领

EGA (1960-1967)

SGA I-VII 

FGA

1980-1995:

La longue marche à travers la théorie de Galois

Esquisse d'un programme、&Agrave 《纲领草案》

la poursuite des champs

Les dérivateurs

《仿佛来自空虚》

Récoltes et semailles《收获与播种》

 

Stephen Smale (1930.07.15- ) 动力系统

18 Smale's Problems

 

Michael Atiyah

An introduction to Commutative Algebra

 

David Bryant Mumford (1937.06.11- ) 代数几何

the Red Book of Varieties and Schemes

Abelian Varieties

Curves on an Algebraic Surface

 

Pierre Deligne

 

Alain Connes (1947- ) 非交换(微分)几何

http://alainconnes.org/en/

Noncommutative Geometry, Academic Press, San Diego, CA, 1994, 661 p., ISBN 0-12-185860-X.

Noncommutative Geometry, Quantum Fields and Motives

 

Gerd Faltings

 

近至

Bhargava

Klingler

Venkatesh

Wittenberg

 

posted @ 2020-10-11 14:02  biopunk  阅读(399)  评论(1编辑  收藏  举报