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标题: 一些不错的数学参考书(转贴) [打印本页]

作者: revise    时间: 07-1-16 18:50
标题: 一些不错的数学参考书(转贴)
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作者: clay21    时间: 2005-4-2 02:27     标题: 一些数学参考书

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 "Prigogo"
Spivak "Calculus on Manifolds"
V.A.Zorich,Mathematical Analysis vol I&II Springer-Verlag
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作者: clay21    时间: 2005-4-2 02:27

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
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作者: clay21    时间: 2005-4-2 02:28

分析:
Real & Complex Analysis, 3rd Edition by W. Rudin
Royden "Real Analysis" 3rd ed. Prentice Hall
Ahlfors "Complex Analysis" 3rd ed. McGraw-Hill
Hormagogoeveral Variables"
Conway "Functions of One Complex Variable I&II Springer-Verlag
Conway A Course in Functional Analysis
Functional Analysis, 3rd Edition by W. Rudin
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作者: clay21    时间: 2005-4-2 02:28

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 Spivak

[ Last edited by clay21 on 2005-4-2 at 02:29 ]
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作者: clay21    时间: 2005-4-2 02:29

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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作者: clay21    时间: 2005-4-2 02:30

1、微积分原理I&II
R.Courant,F.John,Introduction to Calculus and Analysis vol I&II
T.M.Apostol Calculus vol I&II
张筑生,《数学分析新讲》(1~3册),北大版
常庚哲,《数学分析教程》(上、下册),高教版
陈纪修,《数学分析》(上、下册),高教版
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作者: clay21    时间: 2005-4-2 02:30

2、解析几何
丘维生,《解析几何》,北大版
南开数学系,《空间解析几何》,高教版
M. Postnikov,Analytic geometry, Mir Publishers
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作者: clay21    时间: 2005-4-2 02:31

3、线性代数I&II
蓝以中,《高等代数简明教程》(上、下册),北大版
丘维生,《高等代数》(上、下册),高教版
李炯生,《线性代数》,科大版
Friedberg "Linear Algebra" 4th ed. Prentice Hall
Axler "Linear Algebra Done Right" 2nd ed. Springer-Verlag
Hoffman & Kunz , Linear Algebra
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作者: clay21    时间: 2005-4-2 02:31

4、集合论原理
耿素云,集合论与图论,北京大学出版社
Elements of Set Theory by Herbert Enderton
Set Theory by Thomas J. Jech
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作者: clay21    时间: 2005-4-2 02:32

5、离散数学原理
耿素云,离散数学,高教版
Discrete Mathematics and its Applications Kenneth H. Rosen
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作者: clay21    时间: 2005-4-2 02:32

6、普通物理学I&II
力学,赵凯华和罗蔚茵编写的《新概念物理教程》力学部分
高等教育出版社
热学,赵凯华和罗蔚茵编写的《新概念物理教程》热学部分。
高等教育出版社
电磁学,赵凯华和陈熙谋编写的《电磁学》,高等教育出版社。
光学,赵凯华和钟锡华编写的《光学》,北京大学出版社
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作者: clay21    时间: 2005-4-2 02:33

7、数学分析原理I&II
Rudin "Prigogo"
Spivak "Calculus on Manifolds"
V.A.Zorich,Mathematical Analysis vol I&II Springer-Verlag
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作者: clay21    时间: 2005-4-2 02:33

8、抽象代数I&II
莫宗坚,《代数学》(上、下册),北大版
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
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作者: clay21    时间: 2005-4-2 02:34

9、拓扑学原理
尤承业,《基础拓扑学讲义》,北大版
Basic Topology by Armstrong
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作者: clay21    时间: 2005-4-2 02:35

10、微分几何原理
陈维桓,《微分几何初步》
Differential Geometry of Curves and Surfaces by Manfredo Do Carmo
M. Postnikov,Linear algebra and differential geometry,Mir Publishers
A.T.Fomenko Differential geometry and topology,Consultants Bureau
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作者: clay21    时间: 2005-4-2 02:35

11、常微分方程I&II
丁同仁,《常微分方程教程》,高教版
Ordinary Differential Equations by V. I. Arnold
Geometrical Methods in the Theory of Ordinary Differential Equations by V. I.

Arnold
Earl.A. Coddington,Theory of ordinary differential equations,McGraw-Hill
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作者: clay21    时间: 2005-4-2 02:35

12、概率论原理
汪仁官,《概率论引论》,北大版
A First Course in Probability by Sheldon Ross
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作者: clay21    时间: 2005-4-2 02:36

13、统计学原理
陈家鼎,《数理统计学讲义》,高教版
R. Larsen and M. Marx: An Introductiogogo, Prentice-Ha

ll, 1986。
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作者: clay21    时间: 2005-4-2 02:36

14、复分析原理
方企勤,《复变函数教程》,北大版
龚升,《简明复分析》,北大版
Ahlfors "Complex Analysis" 3rd ed. McGraw-Hill
Conway "Functions of One Complex Variable I&II Springer-Verlag
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作者: clay21    时间: 2005-4-2 02:37

15、理论物理学I&II
量子力学:曾谨言,《量子力学教程》,高等教育出版社出版
电动力学:郭硕鸿,《电动力学》,高等教育出版社出版。
理论力学:周伯衍, 《理论力学教程》高等教育出版社。
热力学与统计物理:汪志诚,《热力学与统计物理》,高等教育出版社出版。
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作者: clay21    时间: 2005-4-2 02:37

16、实分析I&II
周民强,《实变函数》,北大版
夏道行,《实变函数论与泛函分析》(上册),高教版
Real & Complex Analysis, 3rd Edition by W. Rudin
Royden "Real Analysis" 3rd ed. Prentice Hall
严加安,《测度论讲义》,科学版
程士宏,《测度论与概率论》,北大版
Halmos,"Measure Theory"(GTM 18)
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作者: clay21    时间: 2005-4-2 02:38

17、交换代数I&II
冯克勤,《交换代数基础》,高教版
Commutative Algebra I&II by Oscar Zariski , Pierre Samuel
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作者: clay21    时间: 2005-4-2 02:39

18、拓扑学I&II
Munkries "Topology" 2nd ed. Prentice Hall
熊金成,《点集拓扑讲义》,高教版
Hatcher "Algebraic Topology" Cambridge UP
Spaniers "Algebraic Topology"
张筑生,《微分拓扑新讲》,北大版
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作者: clay21    时间: 2005-4-2 02:39

19、微分几何I&II
陈省身,《微分几何讲义》,北大版
陈维桓,《微分流形初步》,高教版
苏步青, 《微分几何》,高教版
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
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作者: clay21    时间: 2005-4-2 02:40

20、数理逻辑原理
王捍贫, 数理逻辑, 北京大学出版社,1997
H.B.Enderton, A Mathematical Introduction to Logic. Academic Press, New York

, 1972.
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作者: clay21    时间: 2005-4-2 02:40

21、复分析I&II
Real & Complex Analysis, 3rd Edition by W. Rudin
Conway "Functions of One Complex Variable I&II Springer-Verlag
史济怀,《多复变函数论基础》,高教版
张南岳,《复变函数论选讲》,北大版
Hormagogoeveral Variables"
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作者: clay21    时间: 2005-4-2 02:41

22、泛函分析I&II
张恭庆,《泛函分析讲义》(上、下册),北大版
夏道行,《实变函数论与泛函分析》(下册),高教版
Conway A Course in Functional Analysis
Functional Analysis, 3rd Edition by W. Rudin
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作者: clay21    时间: 2005-4-2 02:41

23、黎曼几何原理I&II
陈维桓,《黎曼几何引论》(上、下册),北大版
伍宏熙,《黎曼几何初步》,北大版
Dubrovin, Fomenko, Novikov “Modern geometry-methods and applications”Vol 1—

3
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作者: clay21    时间: 2005-4-2 02:41

24、偏微分方程I&II
姜礼尚,《数学物理方程讲义》,高教版
谷超豪,《数学物理方程》,高教版
Aleksei.A.Dezin,Partial differential equations,Springer-Verlag
Evans "Partial Differential Equations" ‘98 AMS
L. Hormander "Linear Partial Differential Operators, " I&II
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作者: clay21    时间: 2005-4-2 02:42

25、概率理论
程士宏,《高等概率论》,北大版
严士健,《概率论基础》,北大版
Probability: Theory and Examples by Richard A. Durrett
Foundations of Modern Probability by Olav Kallenberg
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作者: clay21    时间: 2005-4-2 02:42

26、数值分析
李庆扬,《数值分析》
R.L. Burden and D. Faires, Numerical analysis, 7th edition, Thomson Learning。


J. Stoer and R. Bulirsch, An introduction to numerical analysis, Springer-Ver

lag,
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作者: clay21    时间: 2005-4-2 02:43

27、统计学理论
陈希孺,数理统计引论,科学出版社
陈希孺,高等数理统计,科大版
Statistical Inference by George Casella, Roger L. Berger, Cassell
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作者: clay21    时间: 2005-4-2 02:43

28、随机过程
钱敏平,龚光鲁,随机过程,北京大学出版社
钱敏平,龚光鲁,随机微分方程,北京大学出版社
S.M. Ross, Stochastic Processes, John Wiley & Sons, 1983
A First Course in Stochastic Processes by Samuel Karlin, Howard Taylor
A Second Course in Stochastic Processes by Samuel Karlin, Howard Taylor
The Theory of Stochastic Processes I &II Gikhman, I.I., Skorokhod, A.V.
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作者: lihaocai    时间: 07-1-22 20:20
我是08的考生,谢谢大家的帮忙。谢谢了。顶起。
欢迎来到免费考研网www.freekaoyan.com
作者: jiliang007    时间: 07-2-25 15:38
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作者: mythling    时间: 07-2-25 21:15
谢谢楼主的分享,要是有书的图片那就完美了,呵呵.

[ 本帖最后由 mythling 于 2007-2-25 09:18 PM 编辑 ]
作者: yang898guang    时间: 07-10-5 13:26
ua感谢楼主的无私奉献.




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