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关键词:
Riemannian Geometry
书目信息
ISBN:
9783540204930(13位)
中图分类号:
O1
杜威分类号:
中文译名:
黎曼几何
作者:
Gallot
编者:
语种:
English
出版信息
出版社:
Springer
出版地:
出版年:
2004
版本:
3rd ed.
版本类型:
原版
丛书题名:
Universitext
卷期:
文献信息
关键词:
Mathematics
前言:
摘要:
内容简介:
16This book, based on a graduate course on Riemannian geometry and analysis on manifolds, given in Paris, covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on the intrinsic features on the subject.Classical results on the relations between curvature and topology are treated in detail. The book is quite self-contained, assuming of the reader only a knowledge of differential calculus in Euclidean space. It contains numerous exercises with full solutions and a series of detailed examples which are picked up again repeatedly to illustrate each new definition or property introduced. This book addresses both the graduate student wanting to learn Riemannian geometry, and also the professional mathematician from a neighbouring field who needs information about ideas and techniques which are now pervading many parts of mathematics.
目次:
Differential Manifolds.- Riemannian Metrics.- Curvature.- Analysis on Manifolds and the Ricci Curvature.- Riemannian Submanifolds.- Some Extra Problems.- Solutions of Exercises.- Bibliography.- Index.
附录:
全文链接:
读者对象:
grad.
实体信息
页码:
装帧:
soft
尺寸:
其它形态细节:
其它信息
原价:
EUR
34.9500
原版ISBN:
其它ISBN:
图书特色:
书评:
扩展信息
Isbn:
3540204938
issue:
2006JC01
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