数学参考书目-posted by yjyao

发信人: yjyao (poly), 信区: Mathematics
标  题: 一份参考书目:说明
发信站: 日月光华 (2002年11月16日05:21:21 星期六)


在老板的办公室里面无意间翻到一份书目，感觉很有意思，
因为做出这份单子的人里面不乏一些堪称大家的人物。
我先把说明贴出来，以后每一两天贴一个分支吧:

这份书目是1992年1月做的，按照Pierre Schapira(巴黎13大)写的说明，这份书目是他应
Jean-Pierre Lemaire的要求为CIMPA(Centre International des Mathematiques Pureset
Appliquees,国际纯粹与应用数学中心，1978年在法国建立的国际组织，主要的“上级
单位”是联合国教科文组织和法国科技部，法国教育部)做的。本来1985年的时候Jean
Dieudonne为IMU/CDE(国际数学联盟/发展与交流委员会-Comission on Development and
Exchange)做的书单，1986年CIMPA又找了一些其他人做了份书目，目前的这个主要是一个
更新的版本(他们后来又没有重新做过我不清楚)。

(CIMPA主要是组织一些在发展中国家的会议，讲习班等等。在各个国家都有相应的委员
会。中国的负责人原来是吴文俊先生，现在是李大潜先生。本月(2002年11月)18日即将在
系里举行的关于Ginzburg-Landau方程的讲习班就是在CIMPA的框架下举行的)

这份书目在每一个所划定的数学分支中，由Schapira向下列名单中的人物提出要求，最
后综合大家的意见，最后在每个分支给出一二十本法语或者英语的“基本的”参考书，水
平基本上以本科高年级为起点。不同“分支”之间可能有重叠。特别注明，说这份书目的
起草没有参考前面两份。

那张被咨询者的名单是很有意思的。我稍微做一点注：

J.-P.Aubin, Paris IX
A.Beauville,Nice
M.Berger,IHES,通讯院士
D.Bertrand，Paris VI
L.Birge,Paris VI
J.-B.Bost,Paris XI
L.Breen, Paris XIII
A.Chenciner,Paris VII
P.Ciarlet,目前在香港，院士，中法数学研究所前法方所长
A.Connes,College de France, IHES,院士，1982(3)年Fields
A.Debiard, Paris XIII
P.Dehuevels,Paris VI,院士
J.-P.Demailly,Grenoble,通讯院士
J.-M.Fontaine,Paris XI,院士
C.Goldstein,Paris XI
P.Gerard, Paris XI
C.Houzel,Paris XI
G.Henniard,Paris XI
L.Illusie,Paris XI
J.-P.Kahane,Pairs XI,院士
G.Lebeau，Nice,通讯院士
J.-L.Loday，Strasbourg
A.Marin,ENS Lyon
M.Mignotte,Strasbourg
J.Mouline Ollagner,Paris XII
J.Neveu,Ecole Polytechnique
F.Nier,Rennes
G.Pisier, Paris VI&TAMU,院士
M.Rais,Poitiers
D.Revuz,Paris VII
G.Sabbagh,Paris VII
Laurent Schwartz, Ecole POlytechnique(当时已退休)，院士，1950年Fields,2002.7.
4去世
Lionel Schwartz,Paris XIII
J.-P.Serre,College de France,院士，1954年Fields
J.Stern,Paris VII
S.Sorin,Paris X
B.Teissier,ENS Paris
--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:1.逻辑
发信站: 日月光华 (2002年11月18日19:49:16 星期一)



Barwise J.
Handbook of Mathematical Logic, Studies in logic and the foundation of
mathematics n°90, North Holland, 1977

Barwise J.
Admissible sets and structures--an approach to definability theory,
Perspectives in Mathematical Logic, Springer-Verlag, 1975

Barwise J., Feferman S.
Model-theoretic logics, Perspectives in Mathematical Logic, 1985

Chang C.C., Keisler H.J.
Model Theory, North Holland, 1973

Ebbinghaus H.D., Flim J., Thomas W.
Mathematical Logic, Undergraduate texts in Mathematics, Springer-Verlag, 1984


Girard J.Y., Lafont Y., Taylor P.
Proofs and types, Cambridge Tracts in Theoretical Computer Science n°7,
Cambridge Univ. Press, 1989

Godel K.
Collected Works, Vol.I:1986, Vol.II:1990, Oxford Uni Press

Jech T.J.
Set Theory, Pure and Applied Mathematics, Academic Press, 1978

Hinuley J.R., Sedlin J.-P.
Introduction to Combinatorics and \lambda-calculus, London Math.Soc.,
Students texts 1, 1986

Krivine J.-L.
Lambda Calcul, types et mod\`eles, Masson Paris, 1990

Kunen K.
Set Theory, North Holland, 1980

Minsky M.
Computation: finite and infinite machines, Prentice Hall Series in
Automatic Computation, Prentice Hall, 1967

Moschovakis Y.N.
Descriptive set theory, Studies in logic and the Foundations of Mathematics
n°100, North Holland, 1980

Robinson J.A.
Logic: form and function, The mechanization of deductive reasoning,
University Press of Edinburgh, 1979

Rogers H.Jr
Theory of recursive functions and effective computability, McGraw Hill, 1967


Schutte K.
Proof Theory, Grundlehren der Mathematischen Wissenschaften n°225,
Springer-Verlag, 1977

Soarse R.I.
Recursively enumerable sets and degrees, Springer-Verlag, 1987

Stern J.
Fonements Math\'ematiques de l'informatique, McGraw Hill, 1990

Tarski A.
Logic, semantics, matamathematics, Clarendon Press, Oxford, 1956

Van Heijenoort J.
From Frege to Godel, a source book in mathematical logic, 1879-1931,
Harvard Univ. Press, Cambridge, MA,1967

--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: jjwwjjww (唧唧歪歪), 信区: Mathematics
标  题: Re: 参考书目:1.逻辑(zz)
发信站: 北大未名站 (2002年12月07日20:06:10 星期六), 转信


Barwise J.
Handbook of Mathematical Logic, Studies in logic and the foundation of
mathematics n°90, North Holland, 1977
这本书过时了，但还有一些参考价值，里面给出了当时一些分支发展的概况。

Barwise J.
Admissible sets and structures--an approach to definability theory,
Perspectives in Mathematical Logic, Springer-Verlag, 1975
这绝对是本好书，有人说任何学数理逻辑的人都必须看这本书。

Barwise J., Feferman S.
Model-theoretic logics, Perspectives in Mathematical Logic, 1985
想起来了，这本书狂厚，是抽象模型轮的一部大百科全书。
做教材是绝对不适合的，呵呵。

Chang C.C., Keisler H.J.
Model Theory, North Holland, 1973
模型论的最经典的教材，现在看虽然有些过时，但仍然是一本非常好的入门读物.
最近的一版是1990年的， Chang C.C.是华人，当时的模型论大牛之一，
现在据说搞神学去了，呵呵。

Ebbinghaus H.D., Flim J., Thomas W.
Mathematical Logic, Unergraduate texts in Mathematics, Springer-Verlag, 1984
没看过

Girard J.Y., Lafont Y., Taylor P.
Proofs and types, Cambridge Tracts in Theoretical Computor Science n°7,
Cambridge Univ. Press, 1989
还是没看过，//shy

Godel K.
Collected Works, Vol.I:1986, Vol.II:1990, Oxford Uni Press
有影印本，不过那时的符号体系太难看了。

Jech T.J.
Set Theory, Pure and Applied Mathematics, Academic Press, 1978
集合论中最经典的入门读物，98年出了修订版。
作者是匈牙利人，后来因为布拉格之春逃了出来。
先后在普林斯顿，PSU任教。现已退休，回到匈牙利，正在重写这本书。
现在中国集合论界的第一高手就是他的弟子，呵呵。
这本书的一大特点就是全，几乎囊括了集合论的各个分支。
据说现在要去Berkeley都Ph.D.首先得把这本书看完。

Hinuley J.R., Sedlin J.-P.
Introduction to Combinatorics and \lambda-calculus, London Math.Soc.,
Students texts 1, 1986

Krivine J.-L.
Lambda Calcul, types et mod\`eles, Masson Paris, 1990
不好意思，这两本都没看过。

Kunen K.
Set Theory, North Holland, 1980
当年美国数理逻辑研究生的必修教材。绝对是一本好书。
相比较于Jech的书，这本书集中于组合与描述集合论。
对Forcing讲得非常透彻。如果想学集合论，
强烈推荐这本书。

Minsky M.
Computation: finite and infinite machines, Prentice Hall Series in
Automatic Computation, Prentice Hall, 1967
没看过。

Moschovakis Y.N.
Descriptive set theory, Studies in logic and the Foundations of Mathematics
n°100, North Holland, 1980
描述集合论的经典教材，作者是波兰人，UCLA学派的领袖人物。
对于经典描述集合论讲得非常精彩，而且只需要很少的预备知识。

Robinson J.A.
Logic: form and function, The mechanization of deductive reasoning,
University Press of Edinburgh, 1979
没看过：（

Rogers H.Jr
Theory of recursive functions and effective computability, McGraw Hill, 1967
递归论（现在成为可计算性理论）的最经典教材，现在虽然过时了，
但是看一看它还是很有收获的，作者把递归论的来龙去脉讲得非常清除，
很精彩的一本书。

Schutte K.
Proof Theory, Grundlehren der Mathematischen Wissenschaften n°225,
Springer-V
erlag, 1977
证明论中一本比较经典的教材.

Soarse R.I.
Recursively enumerable sets and degrees, Springer-Verlag, 1987
现代递归论的必读教材，看完了它，就可以开始写论文了，
呵呵。作者是现代递归论的领袖人物（可偶以为他更多的是个学霸，呵呵）。

Stern J.
Fonements Math\'ematiques de l'informatique, McGraw Hill, 1990
（这是什么书？）

Van Heijenoort J.
From Frege to Godel, a source book in mathematical logic, 1879-1931,
Harvard Univ. Press, Cambridge, MA,1967
一本数学史，我觉得在数理逻辑的研究生阶段以前你可以不懂命题演算，
谓词演算，但必须知道数理逻辑史，呵呵。

偶个人推荐一些:
Shoenfield
Mathematical logic.
这本书不好看，但你如果把里面的习题做完了，你差不多就入门了，呵呵。

Devlin
Inner Model
集合论的另一个分支内模型的必读教材。

Kechris
Classical Descriptive Set theory， GTM No.?
真如作者在书中说的，这不是一本入门读物，
而是一本演讲的合集。可以和Moschovakis的书互补，方法更加现代一些。

Akihiro Kanamori
The higher infinite
关于大基数的写得最好的一本书。

Odiferddi
Classical Recursion Theory I,II
一本unreadable的递归论百科式的参考书，可以当字典来看。

Sacks
The degrees of Unsolvability. Annals of Math Studies 1966
作者是递归论领域的大师级人物，当年的递归论领袖。
即使这本书的年代如此遥远，但是仍然有如此多的宝藏可以开发。。。。

Hodges
Model Theory
现代模型论教材，它正在取代C.C. Chang 和 Keisley的那本书。

Takeuti
Proof Theory
证明论教材，可以跟前面那本互补，作者是个日本人。

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:2.组合，形式计算
发信站: 日月光华 (2002年11月19日06:26:51 星期二)



Berger C.
Graphes et Hypergraphes, Dunod, Paris-Bruxelles-Montr\'eral, 1973
(有英译本， Graphs and Hypergraphs)

Comtet L.
Analyse Combinatoires, 2 tomes, "Le Math\'ematiciens" n°4 et 5, PUF Paris
1970

Davenport J., Siret Y.,Tournier E.
Calcul Formel, Syst\`eme et algorithmes de manipulations alg\'ebriques,
Masson, Paris 1987

Macdonald I.G.
Symmetric functions and hall polynomials, Clarendon Press, 1979

Graham R.L., Knuth D.E., Patashnik O.
Concrete Mathematics, a foundation for computer science, dedicated to
L.Euler(1701-1783), Addison-Wesley Publishing Company, Reading MA,1989

Knuth D.E.
The Art of Computer Programming, Vol. 1,2,3,  Addison-Wesley Publishing
Company, Reading MA,1981

Lothaire M.
Combinatorics on Words, Encyclopedia of Mathematics and its applications n°
17, Advanced book Program  Addison-Wesley Publishing Company, Reading MA,1983
(这套书的主编是Gian Caro-Rota, 有影印本)

Mignotte M.
Math\'ematiques pour le calcul formel, PUF,1989
(原注，Springer将出英文版)

Sedgewick R.
Algorithms, Addison-Wesley Publishing Company, Reading MA,1988

Tutte W.T.
Graph Theory, Encyclopedia of Mathematics and its applications n°21,
Advanced book Program  Addison-Wesley Publishing Company, Menlo Park CA,1983
--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:3.数论
发信站: 日月光华 (2002年11月20日13:39:41 星期三)



Baker A.
Transcendental number theory, Cambridge UP, 1975

Bombeiri E.
Le grand cilbe dans la th\'eorie analytique des nombres, Asterique 17,
S.M.F., Paris, 1974

Borel A., Casselman W.
Automorphic forms, representations and L-functions, Proc. of Symp. in Pure
Maths, vol. XXXIII, 1 and 2, AMS, Providence, 1979

Borevic Z.I., Shafarevich I.R.
Th\'eorie des nombres, Gauthier-Villars, 1967
(英文本:Number theory / Borevich, Zenon Ivanovich ; Shafarevich, Igor'
Rostislavovich ;(Pure and applied mathematics ; 20) Academic Press, New York NY  London  ,
1966.)

Bosch S.,Luetkebohmert W., Raynaud M.
N\'eron Models, Ergebnisse des Mathematik und ihrer Grenzgbiete n°21,
Springer-Verlag, 1990

Cassels J.W.S.
Introduction to the Geometry of Numbers, Springer-Verlag,1959

Cassels J.W.S, Fr\"ohlich A.
Algebraic number theory, Sussex, Brighton, September 1-17, 1965, Academic
Press, 1967

Cornell G., Silverman J.
Arithmetic Geometry, Conference, Storrs, July 30-August 10, 1984,
Springer-Verlag, 1986

Hardy G.H., Wright E.M.
An Introduction to the Theory of Numbers, Oxford Univ. Press, 1938-1984

Lang S.
Algebraic Number Theory, Addison-Wesley, 1970
(Springer-Verlag的GTM110应该就是这本书)

Lang S.
Cyclotomic Fields I et II, Graduate Texts in Mathematics n°121,Springer-verl
ag, 1990(注:Cyclotomic fields ,GTM59,1978;Cyclotomic fields II,GTM69, 1980)

Lang S.
Fundamentals of Diophantine Geometry, Springer-Verlag, 1983

Serre J.-P.
Corps Locaux, Actualit\'es Scientifiques n°1296,Hermann, 1968
(注:英文版Local fields, GTM67, Springer-Verlag,1979)

Serre J.-P.
Cours d'Arithm\'etique, Collection SUP, PUF, 1970
(注:英文版A Course in arithmetic, GTM 7,Springer-Verlag, 1973;
中文版 数论教程，冯克勤译，上海科技出版社)

Serre J.-P.
Oeuvres Compl\`etes, Vol.1,2,3, Springer-Verlag, 1986
(注:98年出了第四卷)

Shimura G.
Introduction to the arithmetic theory of automorphic functions,
Publications of the Mathematical Society of Japan n°11, Princeton UP, 1971

Silverman J.
The arithmetic of elliptic curves, GTM 106, Springer-Verlag, 1986

Weil A.
Oeuvres Compl\`etes, Vol.1,2,3, Springer-Verlag, 1980

--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:4.代数，同调代数，范畴，层
发信站: 日月光华 (2002年11月23日03:09:52 星期六)



Anderson, Fuller
Rings and Categories of Modules, GTM 13, Springer-Verlag, 1973

Atiyah M., Macdonald I.G.
Introduction to commutative algebra, Addison Wesley Series in Mathematics
vol.361, Addison-Wesley, Reading MA, 1969

Bourbaki N.
Alg\`ebre commutative, ch.1 \`a 9,Masson, Paris 1983,1985

Cartan H., Eilenberg S.
Homological Algebra, Princeton Mathematical Series Vol.19, Princeton UP,
1956


Gabriel P., Zisman M.
Calculus of fraction and homotopy theory, Ergebnisse der Mathematik und
ihrergrenzgebiete Vol.35, Springer-Verlag, 1967

Gelfand S., Manin Y.
Methods of homological algebra, Springer-Verlag, 1992

Godement R.
Topologie alg\'ebrique et th]'eorie des faisceaux, Hermann, 1964

Hilton P.J., Stammanbach U.
A course in homological algebra, GTM 4, Springer-Verlag, 1971

Jacobson N.
Basic Algebra, I,II, 2nd edition, Freeman, 1980

Kashiwara M., Schapira P.
Sheaves on manifolds, Grundlehren Math. Wiss. 292, Spinger-Verlag, 1990

MacLane S.
Homology, Grundlehren Math. Wiss. 114, Springer-Verlag, 1967

MacLane S.
Categories for the Working Mathematicians, GTM 5, Springer-Verlag, 1971

Matsumura
Commutative ring theory, Cambridge studies in Advanced Math. Vol. 8,
Cambridge UP, 1989

Serre J.-P.
Alg\`ebre locale--Multiplicit\'e, LNM 11, Springer-Verlag, 1965

Zariski G., Samuel P.
Commutative algebra, Vol. 1 & 2, Van Nostrand, 1958
(注:Springer-Verlag在GTM中翻印过，编号28,29)

--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:5.K-理论，C^*-代数
发信站: 日月光华 (2002年11月25日18:37:42 星期一)

Atiyah M.
K-theory, W.A.Benjamin Inc., 1967

Bass H.
Introduction to some methods of algebraic K-theory,
Colorado, August 24-28, 1973(Regional Conference Series
in Mathematics, n°20), AMS, Providence 1974

Bass H.
Algebraic K-theory, Mathematics Lecture Notes Series,
Benjamin, 1968

Bass H.
-"Classical" algebraic K-theory and connection with
arithmetic, Seattle Research Sept. 1972, LNM
342,Springer-Verlag, 1972
-Hermitian K-theory and geometric applications, LNM 343.
Springer-Verlag, 1973
-Higher K-theories, LNM 341, Springer-Verlag, 1973

Blackadar B.
K-theory for operator algebras, Mathematical Sciences
Research Institute Publications vol.5,
Springer-Verlag,1986
(此书已经出了第二版，不过变动不是很大)

Dixmier J.
Les alg\`ebres d'op\'erateurs dans l'espace
Hilbertien(alg\`ebres de von Neumann), Cahiers
Scientifiques n°25,Gauthier-Villars,1969(这是第二版)
(英译本 Von Neumann Algebras,国内曾经影印过)

Dixmier J.
Les C^*-alg\`ebres et leurs repr\'esentations, Cahiers
Scientifiques n°29， Gauthier-Villars, 1964
(英译本 C^*-algebras Algebras,国内曾经影印过)

Kadison R., Ringerose J.
Fundamentals of the theory of operator algebras, vol.
1-2,Academic Press, 1983-1986
(这书国内也影印过。后来又第III,IV卷，分别是前两卷的习题)

Karoubi M.
K-theory, an introduction, Grundlehren Math. Wiss. 226,
Springer-Verlag, 1978

Milnor J.
Introduction to algebraic K-theory, Annals od
Mathematical Stidies n°72, Princeton UP, 1971

Takesaki M.
Theory of operator algebra, vol.1, Springer-Verlag 1979
--
--------------------------------
Cogito Ergo Sum.
--------------------------------


※ 来源:·日月光华 bbs.fudan.edu.cn·HTTP [FROM: 193.51.104.57]

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:6.代数几何
发信站: 日月光华 (2002年11月27日05:21:17 星期三)




Arbarello E., Cornalba M., Friffiths P.A., Harris J.
Geometry of algebraic curves, GMW n°267, Springer-Verlag,1985

Barth W., Peters C.,Van der Ven A.
Compact Complex Surfaces, Ergibnisse Math. n°4, Springer-Verlag, 1984

Beauville A.
Surfaces alg\'ebriques complexes, Ast\'erique 54, SMF, 1978

Deligne P., Boutot J.F., Grothendieck
Cohomologie \'etale: les points de d\'epart, in: S\'em. G\'eom\'etrie
Alg\'ebrique du Bois Marie,SGA, 4 (1/2), LNM 269,

Springer-Verlag, 1977

Deligne P., Katz N.
Groupe de monodromie en g\'eom\'etrie alg\'ebrique, in:S\'em. G\'eom\'etrie
Alg\'ebrique 7 II, LNM 340, Springer-Verlag, 1973

Fulton W.
Intersection Theory, Ergebnisse Math. n°2, Springer-Verlag, 1984

Griffiths P., Harris J.
Principles of Algebraic geometry, Coll. Pure and Applied Mathematics, J.
Wiley, 1978

Grothendieck A., Dieudonn\'e J.
El\'ements de G\'eom\'etrie Alg\'ebrique I, G.M.W. n°166, Springer-Verlag,
1971

Grothendieck A.
Fondaments de la G\'eom\'etrie Alg\'ebrique, Institut Henri Poincar\'e

Grothendieck A., Raynaud M.,Rim D.S.
Groupes de monodromie en g\'eom\'etrie alg\'ebrique, in:S\'em.
G\'eom\'etrie Alg\'ebrique 7,I 1967-1969, LNM 288, Springer-Verlag, 1972

Hartshorne R.
Algebraic Geometry, GTM52,Springer-Verlag, 1977

Milne J.
Etale Cohomology, Princeton Mathematical Series n°33, Princeton UP, 1980

Mumford D.
Abelian Varieties, Oxford UP, 1974

Mumford D.
Lectures on curves on an algebraic surface, Ann. Math. Studies 59,
Princeton UP, 1966

Mumford D.
The red book of schemes, LNM 1358, Springer-Verlag, 1988

Mumford D., Fogarty J.
eometric Invariant Theory, 2nd ed., Ergebnisse der Mathematik und ihren
Grenzgebiete n°34, Springer-Verlag, 1982

S\'em. G\'eom. Alg\'ebrique I Grothendieck
Rev\^etements \'etales et groupe fondamental, Bois Marie, 1960-61, LNM 224,
Springer-verlag, 1971

Spinger T.A.
Linear algebraic groups, Progress in Mathematics n°9, Birkha\"user, 1981



--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:7.群，李群和李代数
发信站: 日月光华 (2002年11月27日12:17:53 星期三)


Bernat P., Conze Z. et al.
Repr\'esentation des groupes de Lie r\'esolubles, Monographies
SMF n°4,Dunod, Paris 1972

Borel A.
Linear algebraic groups, GTM 126, Springer-Verlag, 2nd ed., 1991

Carter R.W.
Finite groups of Lie type, conjugacy classes and complex
characters, Pures and Applied Mathematics, John Wiley and Sons,
1985

Coxeter H.S.M., Moser W.O.
Generators and relations for discrete groups, Ergeb. Math. 14,
3rd ed. Springer-Verlag, 1984

Curtis C.W., Reiner I.
Methods of representation theory with wpplications to finite
groups and orders, I & II, Pure and Applied Math., john Wiley and
Sons, 1981,1987

Dixmier J.
Envelopping algebras, North Holland, Amsterdam, 1974
(法文版: Alg\`ebres enveloppantes; Cahiers Scientifiques n°37,
Gauthier Villars, Paris 1974)

Gorenstein D.
Finite groups, harper and Row - Chelsea, New York, 1968

Helgason S.
Differential geometry, Lie groups and Symmetric Spaces, Pures and
Applied Mathematics n°80, Academic Press, 1978

Hochschild G.
The structure of Lie groups, Holden-Day Series Mathematics, San
Francisco, 1965
(法文版: La structure des groupes de Lie, Monographies Univ.
Math., Dunod, Paris 1968)

Humphreys J.
Introduction to Lie algebras and representation theory, GTM 9,
Springer-Verlag, 2nd ed., 1972

Kac V.
Infinite dimensional Lie algebras, Cambridge UP, 3rd ed., 1990

Kirillov A.
El\'ement de la th\'eorie des repr\'esentations, Edition MIR,
Moscou, 1974 或者 Grundlehren Math. Wiss. 220, Springer-Verlag,
1976

Knapp A.W.
Representation Theory of Semi-simple Lie Groups : an Overview
based on examples, Princeton Mathematical Series n°36, Princeton
UP, 1986

Serre J.-P.
Repr\'esentation lin\'eaires des groupes finis, Hermann, Paris, 1971
(英文版: Linear representation od linear groups, GTM 42,
Springer-Verlag, 1974)

Varadarajan V.S.
Lie groups, Lie algebras and their representations, GTM 102,
Springer-Verlag, 1984
--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:8.代数拓扑，微分拓扑
发信站: 日月光华 (2002年12月03日09:05:49 星期二)




Adams J.-F.
Algebraic Topology, a student's guide, London
Mathematical Society lecture note n°4, Cambridge
UP, 1972

Adams J.-F.
Stable homotopy and generalized homology, Chicago
Lectures in Mathematics, University of Chicago Press,
1974

Bott R., Tu L.W.
Differential Forms in algebraic topology, GTM 82,
Springer-Verlag, 1982

Browder W.
Surgery of simply connected manifolds, EMG 65,;
Springer-Verlag, 1972

Bousfield A., Kan D.
Homotopy limits, completions and localizations, LNM 304,
Springer-Verlag, 1972

De Rham G.
Vari\'et\'es diff\'erentiables, Hermann, Paris, 1955

Hirsch M.
Differential topology, GTM 33, Springer-Verlag, 1976

Hirzebruch F.
Topological methods in Algebraic geometry, Grundlehren
Math. Wiss. 131, Springer-Verlag, 1966

Masden I., Milgram R.
Classifying spaces for surgery and cobordism of
manifolds, Annals Math Studies 92, Princeton UP, 1979

Massey W.S.
A basic course in algebraic topology, GTM 127,
Springer-Verlag, 1991

May J.P.
Simplicial objects in algebraic topology, University of
Chicago Press-Van Nostrand, 1967

Milnor J.
Topology from the differentiable view point, the Univ.
Press of Virginia, Charlottesville 1965
(注：后来Princeton UP重印过，有上海科技的中译本“从微分
观点看拓扑”)

Milnor J.W.
Morse Thoery, Annals of Mathematical Studies n°51,
Princeton UP, 1963
(注，有科学出版社的中译本“莫尔斯理论”，在现代数学译丛
里面)

Milnor J.W.
Lectures on the h-cobordism theorem, Princeton UP, 1965

Milnor J., Stassheff J.D.
Characteristic classes, Annals of Mathematical Studies n°76,1974

Rohlin V., Fuchs D.
Premiers cours de topologie qlg\'ebrique, chapitres
g\'eom\'etriques, MIR, Moscou, 1981

Rolfsen D.
Knots and links, Math. Lect. Series 7, Publ. or Perish,
1976(new ed. 1991)

Steenrod N.
The topology of Fiber bundles, Princeton Mathematical
Series n°14, Princeton UP, 1974

Whitehead G.
Elements of homotopy theory, GTM 61, Springer-Verlag, 1978

Whitney H.
Geometric integration theory, Princeton UP, 1957
--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:9.微分几何
发信站: 日月光华 (2002年12月04日06:22:24 星期三)




Abraham R., Marsden J.
Foundations of mechanics, Cummings Publ.,1978

Berger M., Gostiaux B.
Differential Geometry, GTM n°115, Springer-Verlag,1988

Berline N.,Getwler E., Vergne M.
Heat Kernel and Dirac Operators, Grundlehren Math. Wiss. n°298,
Springer-Verl
ag, 1992
(注：这本书96年有稍作修订的新版。国内找得到扫描的电子版)

Bourbaki N.
Vari\'et\'es,(fascicules de r\'esultats), Paragraphes 1 \`a 15(2 Vol.),
Diffus
ion CCLS, Paris, 1983
(注：相应书的名字是Vari\'et\'es r\'eelles et analytiques, 1967,1971。1998年重印)

Burago Y., Zalgaller V.
Geometric inequalities, Grundlehren Math. Wiss. 285, Springer-Verlag, 1988

Chavel I.
Eigenvalues in Riemannian Geometry, Academic Press, 1984

Cheeger J., Ebin D.G.
Comparison theorems in Riemannian Geometry, New Holland Mathematical
LIbrary n°9, North-Holland, 1975

Doubrovine B., Novikov S., Fomenko A.
G\'eom\'etrie contemporaine, m\'ethodes et applications,
1\`ere partie: G\'eom\{etrie des surfaces, des groupes de transformations
et des champs, 2\`eme partie: G\'eom\'etrie et
topologie des vari\'et\'es, 3\`eme partie: M\'ethode de la th\'eorie de
l'homologie, MIR, 1982
(注：英译本GTM 93,104,120，世界图书影印过)

Gallot S., Hulin D., Lafontaine J.
Riemannian Geometry, Universitext, Springer-Verlag, 1990

Guillemin V., Sternberg S.
Symplectic techniques in physics, Cambridge University Press, 1984

Helgason S.
Differential Geometry, Lie groups and symmetric spaces, Pure and Applied
Mathematics n°80, Academic Press, 1978
(国内有影印本)

Kobayashi S., Nomizu N.
Foundations of Differential Geometry, Interscience, Tracts in Pure and
Applied Mathematics n°15, Vol. I 1963, Vol. II 1969
(国内有影印本;原版后来Addison-Wesley重印过)

Lawson H.B., Michelsohn M.L.
Spin Geometry, Princeton UP, 1989
(国内有扫描的电子版)


Milnor J.W.
Morse Theory, Annals of Mathematical Studies n°51, Princeton UP, 1963
(注，有科学出版社的中译本“莫尔斯理论”，在现代数学译丛里面)

Morgan F.
Geometric Measure Theory, Academic Press, 1988

Osserman R.
A Survey of Minimal Surfaces, Dover Public. inc. 1986
(此书我们系自己印过)

Spivak M.
A comprehensive introduction to differential geometry(5 volumes), Publish
or Perish, 1979
(有影印本)

Warner W.F.
Foundations of differentiable manifolds and Lie groups, Springer-Verlag,
1983


--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:10.动力系统
发信站: 日月光华 (2002年12月05日22:10:55 星期四)


Arnold V.
Equation differentielles ordinaire, Edition MIR, Moscou, 1974
(注；显然有英文本，中译本是科学出版的"常微分方程"，现代数学译丛)

Arnold V.
Chapitres suppl\'ementaires de la th\'eorie des equations diff\'erentielles
ordinaires, Edition MIR, Moscou, 1980
(注；显然有英文本，中译本我记不清了)

Arnold V.
M\'ethode math\'ematiques de la m\'ecanique classique, Edition MIR, Moscou,
1976
(注；英文本GTM60，中译本是高等教育出版的"经典力学的数学方法"，齐民友译)

Fathi A., Laudenbach F., Poenaru
Travaux de Thurston sur les surfaces, S\'eminaire d'Orsay, Ast\'eriques
66-67, S.M.F., 1979

Gromov M.
Partial Differential Relations, Ergebnisse Math. n°9, Springer-Verlag, 1986


Guckenheimer J., Holmes P.
Non linear oscillations, dynamical systems qnd bifurcations of vector
fields,Appl. Math. Sci. 42,Springer-Verlag 1983

Hirsch M.W., Smale S.
Differential equations, dynamical systems and linear algebra, Pure and
Applied  Mathematics n°60, Academic Press, 1974
(注：有中译本，分两册)

Moser J.
Stable and random motion in dynamical systems with special emphasis on
celestial mechanics, Princeton UP, 1973,1977

Novikov S., Manako S., Pitaevskii L., Zakharov V.
Theory of solitions, Consultant Bureau, New York, 1984

Palis J., De Melo W.
Geometric Theory of Dynamical Systems, Springer-Verlag, 1982
(注；有中译本)

Poincar\'e H.
M\'ethodes nouvelles de la m\'ecanique c\'eleste, 3 volumes: Tome 1"
Solutions p\'eriodiques, non-existence des int\'egrales uniformes, solutions
asymptotiques,Gauthiers-Villars, 1892; Tome 2: M\'ethodes de Newcomb, Gylden,
Lindstedtet Bohlin, Gauthiers-Villars, 1893;Tome 3: invariants int\'egraux,
solutions p\'eriodiques du deuxi\`eme genre, solutions doublement asymptotiques,
Gauthiers-Villars, 1899

Shub M.
Stabilit\'e globale des syst\`emes dynamiques, Ast\'erique 56, S.M.F., 1978

Siegel C.L., Moser J.K.
Lecture on celestial mechanics, Grundlehren Math. Wiss. 187,
Springer-Verlag,
1971

Smale S.
The dynamics of time, essays on dynamical systems economic processes and
related topics, Springer-Verlag, 1980

Sinai Y.
Introduction to ergodic theory, Mathematical Notes n°18, Princeton UP, 1976



--
--------------------------------
Cogito Ergo Sum.
--------------------------------
发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:11.实分析，调和分析
发信站: 日月光华 (2002年12月09日02:29:08 星期一)



Bqnqch S.
Oeuvres compl\`etes, Vol. 2, PMW,Warsaw, 1979
(主要内容是他的那本大书 Th\'eorie des Op\'erations Lin\'eaires,1932)

Bergh-L\¨ofstr\¨om
Interpolation spaces, an introduction, Grundlehren des Mathematischen
Wissenschaften n°223, Springer-Verlag, 1976

Bochner S.
Oeuvres compl\`etes

Bourbaki N.
Fonction d'une variable r\'eelle, Hermann, 1976

Choquet G.
Lectures on Analysis, vol1: integration and topological vector spaces,
vol.2:representation theory, Benjamin, 1969

Ehrenpreis L.
Fourier analysis in several complex variables, John Wiley Interscience, 1970


Garnett J.B.
Bounded analytic functions, Pure and Applied Mathematics n°96, Academic
Press, 1981

Gelfand I.M., Vilenkin N.Y.
Les distributions vol. IV, Application \`a l'analyse harmonique, Dunod, 1964

(注：就是那套Generalized Functions,我不能肯定第四卷是否有中译本)

Hoffman K.
Banach spaces of analytic functions, Prentice Hall, 1965
(注：后来Dover重印过)

Kahane J.-P.
Some random series of functions, Cambridge UP, 1985

Kahane J.-P., Salem R.
Ensembles parfaits er s\'eries trigonomiques, Hermann, 1963

Katznelson Y.
An introduction to harmonic analysis, John Wiley, 1968

K\¨orner T.W.
Fourier Analysis, Cambridge UP, 1988

Mayer Y.
Ondelettes et op\'erateurs, 3 vol., Hermann, Paris, 1990-1992
(注：有中译本，“小波与算子”，共两册，原文第二、三卷合为一册，高等教育)

Riemann B.
Oeuvres Compl\`etes, Gauthiers-Villars 1898, Gesammelt mathematische Werke,
Springer, 1990

Rudin W.
Fourier analysis on groups, Intersciences tracts in Pure and Applied
Mathematics n°12,Intersciences, 1962

Salem R.
Algebraic numbers and Fourier analysis, Heath and comp., 1963

Schwartz L.
Th\'eorie des distributions, Hermann, Paris, 1966

Stein E.M.
Singular Integrals and Differentiability properties of functions, Princeton
Mathematical Studies n°30, Princeton UP, 1970

Stein E.M., Weiss G.
An introduction to Fourier analysis on euclidean spaces, Princeton UP, 1971
(注：有中译本，“欧几里德空间上的富立叶分析”，上海科技)

Whittaker E.T., Watson G.N.
A course of modern analysis, Cambridge UP, 4th Ed. 1965

Zygmund A.
Trigonometric series, Vol. 1 & 2, Cambridge UP, 1959

Zygmund A.
Oeuvres compl\`etes


--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:12.泛函分析
发信站: 日月光华 (2002年12月09日02:30:40 星期一)



Banach S.
Th\'eorie des Op\'erations lin\'eaires,1932

Beauzamy B.
Introduction to banach spaces and their geometry, North Holland Mathematical
Studies n°68, North Holland, 1985

Bratelli O., Robinson D.
Operator algebras and quantum statistical mechanics, Springer-Verlag,
1979-1981

Br\'ezis H.
Analyse fonctionnelle, th\'eorie et applications, Math\'ematiquess
Appliqu\'ees pour la ma\^itrise, Masson, 1983
(注；如果顺利的话，两年内大家有希望看到中译本)

Colojoara I. - Foias C.
Theory of generalized spectral operators, Series in Mathematics Texts n°9,
Gordon and Breach, 1968

Dunford N., Schwarz J.T.
Linear operators Vol.I: general theory, Vol. II: spectral theory, self
adjoint  operators in Hilbert space, Pure and Applied

Mathematics, Interscience Publishers, 1963
(注；有影印本)

Gohberg I.C., Krein M.G.
Introduction to the theory of linear, nonself adjoint operators, Transl.
Math. Monographs n°18, Amer. Math. Soc.,

Providence, RI,1969

Grothendieck A.
Produits tensoriels topologiques et espaces nucl\'eaires, Mem. AMS 16,1955

Grothendieck A.
Espaces vectoriels topologiques, Sociedade de Matematica, San paulo, 1964

Hille E., Phillips R.S.
Functional analysis and semi-groups, American Mathematical Society
Colloquium Publications, Vol. XXXI, AMS, 1957
(注；有中译本)


Hoffman K.
Banach spaces of analytic functions, Prentice Hall, 1965
(注：后来Dover重印过)

Pisier G.
Factorization of linear operators and geometry of Banach spaces, Columbia
June 25-29, 1984, CBMS n°60, AMS, Providence
(reprinted with corrections, 1986)

Schwartz L.
Analyse 2\`eme partie: topologie g\'en\'erale et analyse fonctionnelle,
Enseignement des Sciences n°11, Hermann, 1970

Von Neumann J.
Collected works, Vol. III: Rings of operators, Pergamon Press, 1961
(注：有影印本)


--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 13.复分析，解析几何，奇性
发信站: 日月光华 (2002年12月10日06:15:37 星期二)

Banicaa C., Stanasila C.O.
M\'ethodes alg\'ebriques dans la th\'eorie globale des
espaces complexes I-II, Gauthiers-Villars, Bordas, 1977

Benedetti R.,Risler J.J.
Real algebraic and semi-algebraic sets, Actualit\'es
Math\'ematiques, Hermann, Paris, 1990

Bochnak J., Coste M.
G\'eom\'etrie alg\'ebrique r\'eelle. Ergebnisse Math. n°12, Springer-Verlag,
1987

Cartan H.
Th\'eorie \'el\'ementaire des fonctions d'une ou plusieurs variables complexes,
Hermann, Paris, 1961
(注：有余家荣先生的中译本，高等教育)

Forster O.
Lectures on Riemann Surfaces, GTM 81, Springer-Verlag, 1987

Goresky M., Macpherson R.
Stratified Morse Theory, Ergebnisse Math. n°14, Springer-Verlag, 1988

Grauert H., Remmert R.
Coherent analytic sheaves, Grundlehren der Math. Wissenschaften 265, Springer
Verlag, 1984(注：有影印本)

Griffiths P., Harris J.
Principles of algebraic geometry, Pure and Applied Mathematics, Wiley, New York
1978

Gunning R.C., Rossi H.
Analytic functions of several complex variables,
Prentice-Hall, Engewood Cliffs, N.J.,1965
(注：此书后来Gunning一个人改编成三卷的“Introduction to holomorphic function
s of several variables”，有影印本)

Henkin G., Leiterer J.
Andreotti-Grauert theory by integral formulas, Birkhauser, 1988

H\¨ormander L.
An Introduction to Complex Analysis in Several Variables, North Holland Math
 Library, Vol.7, Amsterdam, 3rd ed. , 1990

Lelong P.,Gruman L.
Entire functions of several complex varaibles, Grundlehren der math. Wissenschaften
282, Springer-Verlag, 1986

Morrow J., Kodaira H.
Complex Manifolds, selected topics in Math., Rinehart and Winston Inc., New
York, 1971

Milnor J.
Singular points  of complex hypersurfaces, Annals Math. Studies 61, Princeton
UP, 1968

Narasimhan R.
Introduction to the theory of analytic spaces, LNM 25, Springer-Verlag, 1966

Range R.M.
Holomorphic functions and integral representations in
several complex variables, GTM 108, Springer-Verlag 1986
(注：有影印本，从这个影印本可以看出世界图书管这事情的人
其实是不怎么懂数学的)

Rudin W.
Real and Complex Analysis, Mc Graw-Hill, 1987
(注：有影印本)

Weil A.
Vari\'et\'es k\¨ahl\'eriennes, Publication de l'Institut de Math\'ematiques
 de l'Universit\'e de Nancago,Actualit\'es Scientifiques et Industrielles n°
1267, Hermann, Paris, 1958

Wells R.
Differential analysis on complex manifolds, GTM 65,2nd ed.,Springer-Verlag,
1980
(注：有影印本)
--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:14.线性偏微分方程，D-模
发信站: 日月光华 (2002年12月12日07:27:47 星期四)

Bj\¨ork J.-E.
Rings of Differential Operators, North Holland

Boutet de Monvel L., Guillemin V.
The spectral theory of Toeplitz operators, Annals Math.
Studies n°99, Princeton UP, 1981

Chazarain-Piriou
Introduction \`a la th\'eorie des \'equations aux
d\'eriv\'ees partielles, Gauthier-Villars, 1981

Hormander L.
The analysis of linear partial differential operators,
Grundlehren Math. Wiss. 256,257,274,275,
Springer-Verlag, 1983,1985
(注：全套都有影印本)

Kashiwara M.
Systems of mocrodifferential equations, Progress in
Math. 34, Birkh\¨auser, 1983

Kashiwara M., Kawai T., Kimura T.
Foundation od algebraic analysis, Princeton Mathematical
Series n°37, Princeton UP, 1986

Kashiwara M., Schapira P.
Sheaves on manifolds, Grundlehren Math. Wiss. 292,
Springer-Verlag, 1990

Lax P., Phillips
Scattering theory, Pure and Applied Mathematics n°26,Academic Press, 1967

Lions J.-L., Magenes E.
Probl\`emes aux limites non homog\`enes et applications,
3 volumes, Travaux et Recherches Math\'ematiques, n°
17,18,20, Dunod, 1968-1970

Maz'ja V.G.
Sobolev Spaces, Springer-Verlag, 1985

Reed M., Simon B.
Methods of modern mathematical physics, vol.1:
functional analysis, vol. 2: Fourier analysis,
self-adjointness, vol.3: scattering theory, vol. 4:
analysis of operators, Academic Press, 1975-1980

Schapira P.
Microdifferential systems in the complex domain,
Grundlehren Math. Wiss. 269, Springer-Verlag, 1985

Schwartz L.
M\'ethodes math\'ematiques pour les sciences physiques,
Hermann, 1965

Shubin M.
Pseudo-differential operators and spectral theory,
Springer-Verlag, 1987

Wasow W.
Asymptotic expansions for ordinary differential equations, Kreiger Publ. Comp.,
New York, 1976
--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:15.非线性偏微分方程
发信站: 日月光华 (2002年12月14日05:14:16 星期六)



Alinhac S., G\'erard P.
Op\'rateurs pseudo-diff\'erentiels et th\'eor\`eme de
Nash-Moser, Coll. Savoir Actuels, Inter-\'editions/CNRS, 1991
(注：或许三五年内会有中译本吧)

Aubin T.
Non linear analysis on Manifolds, Monge-Amp\`ere
equations, GMW n°252, Springer-Verlag, 1982

Bensoussan, Lions, Papanicolaou
Asymptotic analysis for period structures, Studies in
Mathematics and its Applications n°5, North
Holland,1978

Ciarlet P.G.
Mathematical elasticity, Vol. 1: three dimensional
elasticity, North-Holland, Amsterdam, 1988

Courant R., Friedrichs
Supersonic flows and shock waves, Pure and Applied
Mathematics n°1,Interscience Publishers, New York, 1948

Evans L.C.
Weak convergence methods for nonlinear partial
differential equations, CBMS Regional conference series
in Mathematics n°74, AMS, 1990

Gilbarg, Trudinger
Elliptic partial differential equations of second order,
GMW n°224, Springer-Verlag, 1977
(注：这是第一版，有中译本，上海科技。此后英文又出了第二版)

Ladyzhenskaia
The Mathematical theory of viscous incompressible flow, Gordon and Breach
(注：有中译本，“粘性不可压缩流体的数学理论”，上海科技)

Majda
Compressible fluid low and systems of conservation laws in several space
variables, Applied Math. Sciences n°53, Springer-verlag, 1984

Sanchez-Palencia
Non homogeneous media and vibration theory, LNP 127,Springer-Verlag, 1980

Smoller J.
Shock waves and reaction-diffusion equations, GMW n°258, Springer-Verlag,
1983
(注：世界图书影印过)

Strauss W.
Non Linear wave equations, CBMS Regional conference
series in Mathematics n°73, AMS, 1989

Whitham G.B.
Linear and nonlinear waves; Interscience Pure and Applied mathematics,
Wiley,1974
--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:16.数学物理
发信站: 日月光华 (2002年12月15日08:07:28 星期天)




Arnol'd V.I.
Mathematical Methods od classical mechanics, GTM 60, Springer-Verlag, 1989
(注；中译本是高等教育出版的"经典力学的数学方法"，齐民友译)

Bratteli O., Robinson D.W.
Operator algebras and quantum statistical mechanics, Springer-Verlag, 1979

Courant R., Hilbert D.
Methods of mathematical physics, 2 volums, Interscience, 1962
(注：中译本，“数学物理方法”，科学)

Glimm J., Jaffe A.
Quantum physics, a functional integral point of view, Springer-Verlag, 1981
(注：有影印本)

Hawking S.W., Ellis G.F.R.
The large scale structure of space-time, Cambridge UP, 1973
(注：有影印本)

Itzykson C., Zuber J.-B.
Quantum field theory, Mc Graw Hill, 1980
(注：有中译本,科学)

Misner W.,Thorne K.S.,Wheeler J.A.
Gravitation, W.H.Freeman and co., 1973

Reed M., Simon B.
Methods of modern mathematical physics, vol.1: functional analysis, vol. 2:
Fourier analysis, self-adjointness, vol.3: scattering theory, vol. 4: analysis of
operators, Academic Press, 1975-1980

Thirring W.
A course in mathematical physics, 4 volumes, Springer-Verlag, 1978-1981

Weyl H.
The theory of groups and quantum mechanics, Dover,1950
(注：有中译本，“群论和量子力学”，上海科技)

Whittaker E.T.
A Treatise on the analytical dynamics of particles and rigid bodies, 5th editi
on, Cambridge UP,1988
(reissued in the Cambridge Mathematical Library Series)
--
--------------------------------
Cogito Ergo Sum.
--------------------------------

※ 来源:·日月光华 bbs.fudan.edu.cn·HTTP [FROM: 193.51.104.163]

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:17.数值分析
发信站: 日月光华 (2002年12月15日16:21:13 星期天)



Agochkov V., Marchouk G.
Introduction aux m\'ethodes des \'el\'ements finis, Ed. MIR, Moscou, 1985

Bakhvalov N.
M\'ethodes num\'eriques, Ed. MIR, Moscou, 1976

Bender C.M., Orszag S.A.
Advanced mathematical methods for scientists and engineers, McGraw Hill, 1978


Ciarlet P.G.
The finite element method for elliptic problems, North-Holland, Amsterdam, 1978

Ciarlet P.G.
Introduction to numerical linear algebra and optimization, Cambridge UP, 1989


Ciarlet P.G., Lions J.-L.
Handbook of numerical analysis,vol.2: Finite element methods (part 1),
North-Holland, Amsterdam, 1991

Crouzeix M.,Mignot A.L.
Analyse num\'erique des \'equations diff\'erentielles, Math\'ematiques
Appliqu\'ees pour la ma\^itrise, Masson, 1984

Dautray R., Lions J.-L.
Mathematical analysis and numerical methods for science and technology(6 vol.)
 vol. 1: physical origins and classical methods, vol. 2: functional and
variational methods, vol. 3: spectral theory and applications, vol. 4: integral
equations and numerical methods, Springer-Verlag, 1988-1990

Girault V., Raviart P.A.
Finite element methods for Navier-Stokes equations theory and algorithms,
Springer Series in Computational Mathematics n°5, Springer-Verlag,1986

Glowinski R.
Numerical methods for nonlinear variational problems, Springer Series in
Computational Physics, Springer-Verlag, 1984

Golub G.H., Van Loan C.F.
Matrix computations, 2nd. ed., John Hopkins UP, 1989
(注：有中译本，“矩阵计算”，科学)

Lascaux P.,Theodor R.
Analyse num\'erique matricielle appliqu\'ee \`a l'art de l'ing\'enieur, 2 volumes,
Masson, Paris, 1986/1987

Raviart P.A., Thomas J.M.
Introduction \`a l'analyse num\'erique des \'equations aux d\'eriv\'ees partielles,
Math\'ematiques Appliqu\'ees pour la ma\^itrise, Masson, 1983

Stoer J.,Bulirsch R.
Introduction to numerical analysis, Springer-Verlag, 1980

Strang G.
Introduction to applied mathematics, Wellesley, Cambridge Press, 1986

Temam R.
Navier-Stokes equations and numerical analysis, third revised version, North
Holland, Amsterdam, 1984

--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:18.概率
发信站: 日月光华 (2002年12月16日03:46:32 星期一)




Bellingsley P.
Probability and measure, John Wiley and Sons, 1979

Bremaud P.
Point processes and queues, Martingales dynamics, Springer-Verlag, 1981

Chung K.L.
Lectures from Markov processes to Brownian motion, Springer-Verlag, 1982

Cornfeld I.P., Fomin S.V., Sinai Ya. G.
Ergodic theory, GMW n°245, Springer-Verlag, 1982

Dellacherie C., Meyer P.-A.
Probabilit\'es et potentiiel, 4 Vol., Hermann, Paris, 1976,1980,1983,1987

Deuschel J.D., Stroock D.W.
Large deviations, Academic Press, 1989

Ethier S.N., Kurtz T.G.
Markov processes, characterization and convergence, Wiley-Ineterscience, 1986


Feller W.
An introduction to probability theory and its applications, vol. 2, Wiley,
1966 (注：有中译本,"概率论及其应用"，科学)

Fleming W.H., Rishel R.W.
Deterministic ans stochastic optimal control, Applications of Mathematics n°1,
Springer-Verlag, 1975

Ikeda, Watanabe
Stochastic differential equations and diffusion processes, North-Holland,
1989


Karlin S.
A first course in stochastic processes, 3rd edition, Academic Press, 1975

Liggett T.M.
Interacting particle systems, Springer-Verlag, 1985

Neveu J.
Martingales \`a temps discret, Masson, Paris, 1972

Revuz D., Yor M.
Continuous martingales and Brownian motion, GMW n°293, Springer-Verlag,
1991


Rogers L.C., Williams D.
Diffusions, Markov processes and martingales, Vol. 2, Wiley, 1987



--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:19.统计
发信站: 日月光华 (2002年12月17日06:04:38 星期二)



Anderson T.W.
An introduction to multivariate statistical analysis, Wiley, 1958

Bickel P.J., Docksum K.A.
Mathematical statistics, Holden day, 1976

Borovkov A.
Statistique math\'ematique, Edition MIR, Moscow, 1987

Csorgo M., Revesz P.
Strong approximations in probability and statistics, Academic Press, 1981

Dacunha-Castelle D., Duflo M.
Probabilit\'es et statistiques, I Probl\`emes \`a temps fixe, II Probl\`emes\`a
temps mobile, Masson, Paris, 1990

Hajek J., Sidak Z.
Theory of rank tests, Academic Press, 1967

Ibragimov I.A., Has'minskii R.Z.
Statistical estimation, asymptotic theory, Springer-Verlag, 1981

Kendall M., Stuart A.
The advanced theory of statistics, Vol. 1,2,3, Griffin, 1969

Konijn H.S.
Statistical theory of sample survey design and analysis, North-Holland, 1973


Le Cam L.M.
Asymptotic methods in statistical decision theory, Springer Series in
Statistics, Springer-Verlag, 1986

Le Cam L.M., Lo Yang G.
Asymptotics in statistics, some basic concepts, Springer-Verlag, 1990

Lehman E.L.
Theory of point estimation, Wiley, 1983

Lehman E.L.
Testing statistical hypotheses, Wiley, 1987

Mood A.M., Graybill F.A.,Boes D.C.
Introduction to the theory of statistics, Mac Graw Hill, 1974

Muirhead R.J.
Aspects of multivariate statistical theory, Wiley, 1982

Scheffe H.
The analysis of variance, Wiley, 1959

Serfling R.J.
Approximation theorems of mathematical statistics, Wiley, 1980

Shorack G., Wellner J.A.
Empirical processes with applications to statistics, Wiley 1986
--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:20.博弈论，经济数学，最优化
发信站: 日月光华 (2002年12月18日03:56:28 星期三)

Arrow K.S., Intriligator M.
Handbook in mathematical economics, 1,2,3,4, North-Holland, 1981,1982

Aubin J.P., Frankowska H.
Set valued analysis, Birkh\¨auser, 1990

Aumann, Hart
handbook in game theory, North-Holland

Aumann R.J., Shapley L.S.
Values of non atomic games, Princeton UP, 1974

Balasko Y.
Foundation of the theory of general equilibrium, Academic Press, 1988

Clarke F.
Optimization and non smooth analysis, Wiley, 1983

Ekeland Y.
La th\'eorie des jeux et ses applications \`a l'\'economie math\'ematique,
Presses Universitaires France, 1974

Ekeland Y., Temam R.
Analyse convexe et probl\`emes variationnels, Dunod, Paris, 1974

Hildenbrand W.
Core and equilibrium of a large economy, Studies in Mathematical Economics n°5,
Princeton UP, 1974

Ichiishi T., Neyman A., Tauman Y.(eds.)
Game theory and applications, Academic Press, 1990

Mas Colell
The theory of general economic equilibrium: a differentiable approach,
Cambridge UP, 1989

Owen
Game theory, Saunders Company, 1968

Rochafellar Vorob'ev
Game theory, Springer-Verlag, 1980
--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:21.数学史
发信站: 日月光华 (2002年12月19日16:05:45 星期四)

Bottazini U.
The Higher Calculus: A History of Real and Complex Analysis from Euler to
Weierstrass, Springer-Verlag, 1986

Bourbaki N.
El\'ements d'Histoire des Math\'ematiques,Hermann, Paris, 1960

Boyer C.
A History of Mathematics, Princeton UP, Princeton, 1985

Dahan-Dalmedico A., Peiffer J.
Histoire des Math\'ematiques: Routes et D\'edales, Points-Sciences, Le Seuil,
Paris, 1986

Dieudonn\'e J.
Abr\'eg\'e d'Histoire des Math\{ematiques 1700-1900(2 vol.), Vol.1: alg\`ebre,
 analyse calssique, th\'eorie des nombres, Vol. 2: fonctions elliptiques, anal
yse fonctionnelle, g\'eom\'etrie diff\'erentielle, topologie alg\'ebrique, pro
babilit\'es, logique math\'ematique, Hermann, 1978

Fauvel J., Gray J.
The History of Mathematics- A Reader, Open university, Mac Millan Press, NY, 1
988

Gray J.
Ideas of Spaces, Oxford Science Publications, Oxford UP, Oxford, 2nd ed., 1989


Kline M.
Mathematical Thoughts from Ancient to Modern Times, Oxford UP, New York, 1972
(注：中译本“古今数学思想”，四册，上海科技，新近重印过，感谢田廷彦师兄的努力/
/bow)

Martzloff J.-C.
Histoire des math\'ematiques chinoises, Masson, 1988

Rashed R.
Entre Arithm\'etique et Alg\`ebre, recherches sur l'histoire des math\'ematiques
arabes, Les Belles Lettres, 1984

Scholz E.(Ed.)
Geschichte des Algebra, BI, Mannheim, 1990

Sinaceur H.
Corps et Mod\`eles, Vrin, 1991

Weil A.
Number Theory: An approach through History, from Hammurapi to Legendre, Birkh\¨auser,
Boston, 1984

Yuschkevitch A.P.
Les math\'ematiques arabes, Vrin, 1976


--
--------------------------------
Cogito Ergo Sum.
--------------------------------

发信人: yjyao (poly), 信区: Mathematics
标  题: 参考书目:end
发信站: 日月光华 (2002年12月19日16:08:39 星期四)


这份书目总算是敲完了，感谢大家的耐性//bow

应该说这份书目他们还是花了一些时间做的，多少有点价值。
因为连载的时间实在是有点长，所以我还是要提醒大家，
这份书目的性质，在引言里面都说明了，所以在发表评论的
时候或许先看看那一篇可以使得立论更加严谨中肯一点。
总的说来，看到BBS上(包括未名)的一些反馈信息，感觉很有意
思，对于我也算是一种收获，呵呵。
--
--------------------------------
Cogito Ergo Sum.
--------------------------------