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发信人: llhhxht (绿林好汉--争取斑竹中...), 信区: Math
标  题: 参考书目:9.微分几何(zz)
发信站: 哈工大紫丁香 (2002年12月04日13:05:29 星期三), 站内信件

-文章阅读北大未名站 ○ 数学讨论区 [Mathematics]

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发信人: caldream (我是小猪我怕谁:)), 信区: Mathematics
标  题: 参考书目:9.微分几何(zz)
发信站: 北大未名站 (2002年12月04日10:46:40 星期三), 转信

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 Kernal 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 d
es champs, 2\`eme partie: G\'eom\'etrie et
topologie des vari\'et\'es, 3\`eme partie: M\'ethode de la th\'eorie
de
l'homo
logie, 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

Mathe
matics 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 P
erish, 1979
(有影印本)

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

1983

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

--
The Master siad, "He who learns but does not think, is lost.
He who is thinks but does not learn is in great danger.

※ 来源:·北大未名站 bbs.pku.edu.cn·[FROM: 202.120.189.87]

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      百年过后谁在

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