微分拓扑学DIFFERENTIAL TOPOLOGY AN INTRODUCTION

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　　分類: 图书,进口原版书,科学与技术 Science & Techology ,

作者： David B. Gauld著

出版社： Oversea Publishing House

出版时间： 2006-3-1字数：版次： 1页数： 241印刷时间： 2006/03/01开本：印次： 1纸张：胶版纸I S B N ： 9780486450216包装：平装内容简介

This self-contained treatment features 88 helpful illustrations and its subjects include topological spaces and properties, some advanced calculus, differentiable manifolds, orientability, submanifolds and an embedding theorem, and tangent spaces. Additional topics comprise vector fields and integral curves, surgery, classification of orientable surfaces, and Whitney's embedding theorem. 1982 edition.

Preface 1. What Is Topology?

Preface 2. Topological Spaces

Preface 3. Some Topological Properties

Preface 4. Some Advanced Calculus

Preface S. Differentiable Manifolds

Preface 6. Orientability

Preface 7. Submanifolds and an Embedding Theorem

Preface 8. Tangent Spaces

Preface 9. Critical Points Again

Preface 10. Vector Fields and Integral Curves

Preface 11. Surgery

Preface 12. The Trace of a Surgery

Preface 15. Surgery on a Surface

Preface 14. Classification of Orientable Surfaces

Preface 15. Whitney's Embedding Theorem

Appendix A. The Unproved Theorems

Appendix B. Further Topics

Notation

Bibliography

Index