主题：经典数学书籍,大家参考!!!

这是一位前辈给我的一份书单，我觉得中国的数学教育应该多采用这些教材！

微积分：
R.Courant,F.John，Introduction to Calculus and Analysis vol I&II
T.M.Apostol Calculus vol I&II
T.M.Apostol Mathematical Analysis
Rudin "Principles of Mathematical Analysis"
Spivak "Calculus on Manifolds"
V.A.Zorich，Mathematical Analysis vol I&II Springer-Verlag

代数：
Friedberg "Linear Algebra" 4th ed. Prentice Hall
Axler "Linear Algebra Done Right" 2nd ed. Springer-Verlag
Hoffman & Kunz , Linear Algebra
Basic Algebra I&II, 2nd Edition by N. Jacobson
Algebra by Serge Lang
Dummit & Foote "Abstract Algebra" Wiley
Hungerford "Abstract Algebra: An Introduction" Brooks/Cole

分析：
Real & Complex Analysis, 3rd Edition by W. Rudin
Royden "Real Analysis" 3rd ed. Prentice Hall
Ahlfors "Complex Analysis" 3rd ed. McGraw-Hill
Hormander "An Intro to Complex Analysis in Several Variables"
Conway "Functions of One Complex Variable I&II Springer-Verlag
Conway A Course in Functional Analysis
Functional Analysis, 3rd Edition by W. Rudin

几何与拓扑：
Basic Topology by Armstrong
Differential Geometry of Curves and Surfaces by Manfredo Do Carmo
Hatcher "Algebraic Topology" Cambridge UP
Munkries "Topology" 2nd ed. Prentice Hall
M. Postnikov，Analytic geometry， Mir Publishers
M. Postnikov，Linear algebra and differential geometry，Mir Publishers
A.T.Fomenko Differential geometry and topology，Consultants Bureau
Dubrovin, Fomenko, Novikov “Modern geometry-methods and applications”Vol 1—
3
A Comprehensive Introduction to Differential Geometry vol 1-5 ,by Michael Spiv
ak

方程：
Earl.A. Coddington，Theory of ordinary differential equations，McGraw-Hill
Aleksei.A.Dezin，Partial differential equations，Springer-Verlag
Evans "Partial Differential Equations" ‘98 AMS
Ordinary Differential Equations by V. I. Arnold
Geometrical Methods in the Theory of Ordinary Differential Equations by V. I.
Arnold


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