Principles of Topology
eBook - ePub

Principles of Topology

  1. 336 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Principles of Topology

About this book

Topology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics. Designed for a one-semester introduction to topology at the undergraduate and beginning graduate levels, this text is accessible to students familiar with multivariable calculus. Rigorous but not abstract, the treatment emphasizes the geometric nature of the subject and the applications of topological ideas to geometry and mathematical analysis.
Customary topics of point-set topology include metric spaces, general topological spaces, continuity, topological equivalence, basis, subbasis, connectedness, compactness, separation properties, metrization, subspaces, product spaces, and quotient spaces. In addition, the text introduces geometric, differential, and algebraic topology. Each chapter includes historical notes to put important developments into their historical framework. Exercises of varying degrees of difficulty form an essential part of the text.

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Yes, you can access Principles of Topology by Fred H. Croom in PDF and/or ePUB format, as well as other popular books in Mathematics & Topology. We have over one million books available in our catalogue for you to explore.

Information

Year
2016
Print ISBN
9780486801544
eBook ISBN
9780486810447
Edition
1
Subtopic
Topology

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Contents
  5. Preface
  6. Chapter 1 Introduction
  7. Chapter 2 The Line and the Plane
  8. Chapter 3 Metric Spaces
  9. Chapter 4 Topological Spaces 99
  10. Chapter 5 Connectedness
  11. Chapter 6 Compactness
  12. Chapter 7 Product and Quotient Spaces
  13. Chapter 8 Separation Properties and Metrization
  14. Chapter 9 The Fundamental Group
  15. Appendix: Introduction to Groups
  16. Bibliography
  17. Index