| 以文本方式查看主题 - Sci论坛 (http://cqsiam.cn/slxy/scibbs/index.asp) -- 数学系 (http://cqsiam.cn/slxy/scibbs/list.asp?boardid=10) ---- 经典数学书籍,大家参考!!! (http://cqsiam.cn/slxy/scibbs/dispbbs.asp?boardid=10&id=2435) |
| -- 作者:mboy -- 发布时间:2004/2/16 9:12:24 -- 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 -- ※ 来源:.南京大学小百合站 http://bbs.nju.edu.cn[FROM: 218.93.10.44] |