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关键词：
Introduction to Smooth Manifolds
书目信息
ISBN：
9780387954486（13位）
中图分类号：
O1
杜威分类号：
中文译名：
平滑流形概论
作者：
Lee
编者：
语种：
English
出版信息
出版社：
Springer
出版地：
出版年：
2003
版本：
版本类型：
原版
丛书题名：
Graduate Texts in Mathematics Vol. 218
卷期：
文献信息
关键词：
Mathematics
前言：
摘要：
内容简介：
16This book is an introductory graduate-level textbook on the theory of smooth manifolds, for students who already have a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis. It is a natural sequel to the author's last book, "Introduction to Topological Manifolds". While the subject is often called "differential geometry," in this book the author has decided to avoid use of this term because it applies more specifically to the study of smooth manifolds endowed with some extra structure, such as a Riemannian metric, a symplectic structure, a Lie group structure, or a foliation, and of the properties that are invariant under maps that preserve the structure. Although this text addresses these subjects, they are treated more as interesting examples to which to apply the general theory than as objects of study in their own right. A student who finishes this book should be well prepare 16d to go on to study any of these specialized subjects in much greater depth. 04From the contents:- Preface- Smooth Manifolds- Smooth Maps- Tangent Vectors- Vector Fields- Vector Bundles- The Cotangent Bundle- Submersions, Immersions, and Embeddings- Submanifolds- Embedding and Approximation Theorems- Lie Group Actions- Tensors- Differential Forms- Orientations- Integration on Manifolds- De Rham Cohomology- The De Rham Theorem- Integral Curves and Flows- Lie Derivatives- Integral Manifolds and Foliations- Lie Groups and Their Lie Algebras- Appendix: Review of Prerequisites- References- Index
目次：
Preface * Smooth Manifolds * Smooth Maps * The Tangent Bundle * The Cotangent Bundle * Submanifolds * Embedding and Approximation Theorems * Lie Group Actions * Tensors * Differential Forms * Integration on Manifolds * De Rham Cohomology * Integral Curves and Flows * Lie Derivatives * Integral Manifolds and Foliations * Lie Algebras and Lie Groups * Appendix * References * 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
46.9500
原版ISBN：
其它ISBN：
图书特色：
书评：
扩展信息
Isbn：
0387954481
issue：
2006JC01
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