Differential Topology: An Introduction
Author:   David B Gauld
Publisher:   Dover Publications Inc.
ISBN:  

9780486450216


Pages:   241
Publication Date:   26 May 2006
Format:   Paperback
Availability:   In Print   Availability explained
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

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Differential Topology: An Introduction


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Overview

Offering classroom-proven results, Differential Topology presents an introduction to point set topology via a naive version of nearness space. Its treatment encompasses a general study of surgery, laying a solid foundation for further study and greatly simplifying the classification of surfaces.This self-contained treatment features 88 helpful illustrations. 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. Suitable for advanced undergraduate courses in introductory or differential topology, this volume also serves as a supplementary text in advanced calculus and physics courses, as well as a key source of information for students of mechanics.

Full Product Details

Author:   David B Gauld
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Dimensions:   Width: 15.40cm , Height: 1.20cm , Length: 23.40cm
Weight:   0.336kg
ISBN:  

9780486450216


ISBN 10:   048645021
Pages:   241
Publication Date:   26 May 2006
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Out of Print
Availability:   In Print   Availability explained
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

Table of Contents

1. What Is Topology? 2. Topological Spaces 3. Some Topological Properties 4. Some Advanced Calculus 5. Differentiable Manifolds 6. Orientability 7. Submanifolds and an Embedding Theorem 8. Tangent Spaces 9. Critical Points Again 10. Vector Fields and Integral Curves 11. Surgery 12. The Trace of a Surgery 13. Surgery on a Surface 14. Classification of Orientable Surfaces 15. Whitney's Embedding Theorem Appendix A. The Unproved Theorems Appendix B. Further Topics Notation Bibliography Index

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