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References

英文书下载:hhttp://gen.lib.rus.ec

中文书下载:http://ishare.iask.sina.com.cn/

9, Elementaty diffenential geometry and differentiable manifolds

梅向明, 黄敬之 编著, 微分几何

苏步青, 胡和生等 编著, 微分几何

陈维桓 编著, 微分几何

W. Klingenberg, A course in Differential Geometry, GTM 51

Manfredo do Carmo, Differential Geometry of Curves and Surfaces

M. Abate, F. Tovena, Curves and Surfaces

R.S. Millman and G.D. Parker, Elements of Differential Geometry

A.N. Pressley, Elementary Differential Geometry

C. Bar, Elementary Differential Geometry

Wolfgang Kuhnel, Differential geometry: curves - surfaces - manifolds

N.J. Hicks, Notes on Differential geometry

Theodore Shifrin, Differential geometry: a first course

×××××××××××××××××××××××××××××××

Spivak, Calculus on Manifolds

Lee, Introduction to Smooth Manifolds

Gadea, Analysis and Algebra on Differentiable Manifolds

Lang, Introduction to differential mainfolds

L.W. Tu, An Introduction to Manifolds, 2nd ed

Munkres, Analysis on manifolds

Warner, Foundations Of Differentiable Manifolds and Lie Groups

8, Lie groups, Lie algebra and their representations

黄宣国, 李群基础

严志达许以超, 李群及其李代数

项武义等, 李群讲义

Representation theory resources and references

A.A. Kirillov, Elements of the theory of representations

B. Hall, Lie Groups, Lie Algebras, and Representations: an elementary

D. Bump, Lie Groups, GTM 222

A. Baker, A Matrix Groups An Introduction To Lie Groups (2002)

K. Tapp, Matrix Groups for Undergraduates

R. Howe, Very basic Lie Theory

W. Fulton and J. Harris, Representation Theory, A First Course

Kirillov, An Introduction to Lie Groups and Lie Algebras

W. Rossmann, Lie Groups: An introduction through linear groups

A.W. Knapp, Lie Groups Beyond an Introduction

A.W. Knapp, Representation Theory of Semisimple Groups: An Overview based

A.W. Knapp, Structure Theory of Semisimple Lie Groups

A.W. Knapp, Representations of Semisimple Lie Groups

T.N. Bailey, A.W. Knapp, Representation Theory and Automorphic Forms, PSPM 61.

J.F. Adams, Lectures on Lie Groups

R. Howe, A Century of Lie Theory

M.R. Sepanski, Compact Lie Groups, GTM235

7, Automorphic forms and representations

Borel Casselman, automorphic forms, representations and L-functions I,II

D. Bump, Automorphic forms and Representations

S. Gelbert, Automorphic forms on Adele Groups

R. Godement, Notes on Jacquet-Langlands' Theory

Jacquet, Langlands, Automorphic Forms on GL(2)

Iwaniec, Topics in Classical Automorphic Forms

6, Fourier Analysis on LCA Groups and Abstract harmonic analysis

黎景辉 冯绪宁, 拓扑群引论

G.Bachman, 抽象调和分析基础(中译本)

J. Faraut, Analysis on Lie Groups: An Introduction

A. Deitmar, A first course in Harmonic Analysis

A. Deitmar, S. Echterhoff, Principles of Harmonic Analysis

5, Algebraic Number Theory

J.W.S. Cassels and A. Frohlich, Algebraic Number Theory

L.J. Goldstein, Analytic Number Theory

S. Lang, Algebraic Number Theory, GTM110

Ramakrishnan, Valenza, Fourier Analysis on Number Fields, GTM186

H.P.F. Swinnerton-Dyer, A Brief Guide to Algebraic Number Theory

A. Frohlich and M.J. Taylor, Algebraic Number Theory

Stein,Introduction to Classical and Adelic AlgebraicNumberTheory

Murty, Problems In Algebraic Number Theory 2Ed GTM190

W. Narkiewicz, Elementary and Analytic Theory of Algebraic Numbers

A. Weil, Basic Number Theory

E.Weiss, Algebraic Number Theory

J. Neukirch, Algebraic Number Theory

李文卿, 数论及其应用

张贤科, 代数数论导引

冯克勤, 代数数论;代数数论简史

戴执中, 赋值论概要

4, Functional Analysis

B.D. MacCluer, Elementary Functional Analysis, GTM253

E. Kreyszig, Introductory to Funtional Anaysis with Applications(中译本)

B. P. Rynne, M. A. Youngson, Linear Functional Analysis

E. Kowalski, Spectral Theory in Hilbert Spaces

E. M. Stein and R. Shakarchi, Functional Analysis

江泽坚等 泛函分析

张恭庆等, 泛函分析讲义

刘培德, 泛函分析教程

胡适耕, 泛函分析

W. Rudin, 泛函分析

孙炯等, 泛函分析

夏道行等, 实变函数论与泛函分析

J. Dixmier, 谱理论讲义

3, Abstract Algebra and Representations Theory

M. Artin,Algebra, Addison Wesley, 2010.

D. S. Dummit and R. M. Foote,Abstract algebra(3rd),

A. W. Knapp, Basic Algebra,Advanced Algebra

R. B. Ash,Basic abstract algebra

J.S. Milne, Group theory

J. Rotman, A first course in abstract algebra

S. Lang, Algebra, GTM211A. K. Knapp, Basic Algebra

E. Artin, Galois Theory(Chinese)

H. M. Edwards, Galois theory, GTM101

A. Baker, An Introduction to Galois Theory

M. M. Postnikov, Foundations of Galois Theory

B. Steinberg, Representation Theory of Finite Groups

Andrew Baker, Representations of Finite Groups

B. C. Hall, Introduction to Groups and Representations

丁石孙聂灵沼, 代数学引论

姚慕生, 抽象代数学

杨子胥, 近世代数

冯克勤等, 近世代数引论

徐诚浩, 古典数学难题与伽罗瓦理论

郝镔新, 域论基础

冯克勤等, 群与代数表示引论

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2, Real Analysis

Folland, Real Analysis

Royden, Real Analysis

E. M. Stein and R. Shakarchi, Real Analysis

T. Tao, An Introduction to Measure Theory

Rudin, 实分析与复分析

周民强,实变函数

程其襄张奠宙等, 实变函数与泛函分析基础

郑维行王声望, 实变函数与泛函分析概要

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1, Complex Analysis

T. Tao, Complex analysis

E. Stein & R. Shakarchi, Complex analysis

钟玉泉, 复变函数论

龚昇, 简明复分析

方企勤, 复变函数教程

郭大钧等, 数学分析

Problems and Solutions

汪林, 泛函分析中的反例

安托涅维奇, 泛函分析习题集

楼宇同, 泛函分析习题集

V.K.Krishnan, 泛函分析习题集

林源渠, 泛函分析学习指南

孙清华等, 泛函分析内容、方法与技巧

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冯克勤章璞, 近世代数三百题

杨子胥宋宝和, 近世代数习题解

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黄宣国,微分几何一百例

梅向明,微分几何学习指导和习题解答

陈维桓,微分几何例题详解和习题汇编

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汪林, 实分析中的反例

程庆汪远征, 实变函数中的反例

周民强, 实变函数解题指南

胡适耕, 实变函数与泛函分析: 定理, 方法和问题

宋国柱, 实变函数与泛函分析习题精解

王友方, 实变函数例题习题集

鄂强(苏联), 实变函数定理与习题集

孙清华等, 实变函数内容、方法与技巧

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钟玉泉, 复变函数学习指导书

余家荣, 复变函数答案第四版

沈燮昌顾筱英, 复变函数基础习题解答

LaTex and Others

数学文化: Mathematical Culture

卢昌海, Riemann猜想漫谈

陈志杰等, LaTex入门与提高

华东师大, LaTex科技排版

Ctex软件下载及论坛

T. Gowers, The Princeton Companion to Mathematics

How to Write Mathematics

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