拓扑流形引论

出版时间：2003-6  出版社：北京世界图书出版公司  作者：J.M.Lee  页数：385  
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内容概要

本书以英文的形式介绍了拓扑流形引论的内容。

书籍目录

Preface1 Introduction  What Are Manifolds?  Why Study Manifolds?2 Topologiacl Spaces  Topologies  Bases  Manifolds  Problems3 New Spaces form Old  Subspaces  Product Spaces   Quotient Spaces  Group Actions  Problems4 Connectedness and Compactness  Connectedness  Compactness  Locally Compact Hausdorff Spaces  Problems5 Simplicial Complexes  Euclidean Simplicial Complexes  Abstract Simplicial Complexes  Triangulation Theorems  Orientations  Combinatorial Invariants  Problems6 Curves and Surfaces  Classification of Curves  Surfaces  Connected Sums  Polygonal Presentations of Surfaces  Classification of Surface Presentations  Combinatorial Invariants  Problems7 Homotopy and the Fundamental Group  Homotopy  The Fundamental Group  Homomorphisma Induced by Continuous Maps  ……8 Circles and Spheres9 Some Group Theory10 The Seifert-Van Kampen Theorem11 Covering Spaces12 Classification of Coverings13 HomologyAppendix：Review of PrerequisitesReferencesIndex

编辑推荐

This book is an introduction to manifolds at the beginning graduate level:It contains the essential topological ideas that are needed for the furtherstudy of manifolds, particularly in the context of differential geometry,algebraic topology, and related fields￡?Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition. Here at the University of Washington, for example, this text is used for the first third of a year-long course on the geometry and topology of anifolds; the remaining two-thirds focuses on smooth manifolds.

用户评论 (总计6条)

•   书是不错，送货也很快，非常满意。这是本非常好的拓扑书，是光滑流形那本经典书的基础
•   印刷不错，内容不错，性价比很高
•   这套书非常好呦，大朋友，小朋友都可以看
•   看了一半，很不错
•   其实就是代数拓扑导论，不过还是赞一下，lee写书还是非常详细的，比armstrong那本详细多了。
•   LEE 的三本流形书之一。好书。