ISBN-10:
0763742341
ISBN-13:
9780763742348
Pub. Date:
11/18/2008
Publisher:
Jones & Bartlett Learning
Foundations of Topology / Edition 2

Foundations of Topology / Edition 2

by C. Wayne PattyC. Wayne Patty
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Overview

Topology is a branch of pure mathematics that deals with the abstract relationships found in geometry and analysis. Written with the mature student in mind, Foundations of Topology, Second Edition, provides a user-friendly, clear, and concise introduction to this fascinating area of mathematics. The author introduces topics that are well motivated with thorough proofs that make them easy to follow. Historical comments are dispersed throughout the text, and exercises, varying in degree of difficulty, are found at the end of each chapter. Foundations of Topology is an excellent text for teaching students how to develop the skill to write clear and precise proofs.

Product Details

ISBN-13: 9780763742348
Publisher: Jones & Bartlett Learning
Publication date: 11/18/2008
Series: Jones and Bartlett Publishers Series in Mathematics
Edition description: 2E
Pages: 380
Product dimensions: 6.00(w) x 9.10(h) x 1.00(d)

About the Author

Virginia Polytechnic Institute and State University, Virginia

Table of Contents

Preface
Chapter 1 Topological Spaces
Chapter 2 New Spaces from Old Ones
Chapter 3 Connectedness
Chapter 4 Compactness
Chapter 5 The Separation and Countability Axioms
Chapter 6 Special Topics
Chapter 7 Metrizability and Paracompactness
Chapter 8 The Fundamental Group and Covering Spaces
Chapter 9 Applications of Homotopy
Appendix A Logic and Proofs
Appendix B Sets
Appendix C Functions
Appendix D Indexing Sets and Cartesian Products
Appendix E Equivalence Relations and Order Relations
Appendix F Countable Sets
Appendix G Uncountable Sets
Appendix H Ordinal and Cardinal Numbers
Appendix I Algebra
Appendix Bibliography
Appendix Index

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