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 functions
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 & Manin, Methods 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、À 《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