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Foundations of Topology, Second Edition

Author(s): C. Wayne Patty, Virginia Polytechnic Institute and State University, Virginia
Details:
  • ISBN-13: 9780763742348
  • ISBN-10:0763742341
  • Hardcover    380 pages      © 2009
Price: International Sales $91.95 US List
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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 skills for writing clear and precise proofs.

Click HERE to access errata, Chapter 8 and Chapter 9. 

ShowKey Features

Includes many exercises of varying degrees of difficulty.

The text is organized in a flexible fashion allowing instructors to teach topics in the order they desire for their specific course.

The background in Set Theory needed to work through text is available as an appendix.

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ShowTable 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
Bibliography  
Index  
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ShowAbout the Author(s)

C. Wayne Patty-Virginia Polytechnic Institute and State University, Virginia

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ShowAppropriate Courses

This text is designed for a one- or two- semester introductory course in Topology at the undergraduate and graduate levels.

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ShowSamples & Additional Resources

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