Introduction to Topology and Geometry
eBook - ePub

Introduction to Topology and Geometry

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

Introduction to Topology and Geometry

About this book

An easily accessible introduction to over three centuries of innovations in geometry

Praise for the First Edition

"... a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained." —CHOICE

This fully revised new edition offers the most comprehensive coverage of modern geometry currently available at an introductory level. The book strikes a welcome balance between academic rigor and accessibility, providing a complete and cohesive picture of the science with an unparalleled range of topics.

Illustrating modern mathematical topics, Introduction to Topology and Geometry, Second Edition discusses introductory topology, algebraic topology, knot theory, the geometry of surfaces, Riemann geometries, fundamental groups, and differential geometry, which opens the doors to a wealth of applications. With its logical, yet flexible, organization, the Second Edition: • Explores historical notes interspersed throughout the exposition to provide readers with a feel for how the mathematical disciplines and theorems came into being • Provides exercises ranging from routine to challenging, allowing readers at varying levels of study to master the concepts and methods • Bridges seemingly disparate topics by creating thoughtful and logical connections • Contains coverage on the elements of polytope theory, which acquaints readers with an exposition of modern theory Introduction to Topology and Geometry, Second Edition is an excellent introductory text for topology and geometry courses at the upper-undergraduate level. In addition, the book serves as an ideal reference for professionals interested in gaining a deeper understanding of the topic.

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Yes, you can access Introduction to Topology and Geometry by Saul Stahl,Catherine Stenson in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley
Year
2014
Print ISBN
9781118108109
eBook ISBN
9781118546147

Table of contents

  1. Cover
  2. Contents
  3. Title Page
  4. Copyright
  5. PREFACE
  6. ACKNOWLEDGMENTS
  7. CHAPTER 1 INFORMAL TOPOLOGY
  8. CHAPTER 2 GRAPHS
  9. CHAPTER 3 SURFACES
  10. CHAPTER 4 GRAPHS AND SURFACES
  11. CHAPTER 5 KNOTS AND LINKS
  12. CHAPTER 6 THE DIFFERENTIAL GEOMETRY OF SURFACES
  13. CHAPTER 7 RIEMANN GEOMETRIES
  14. CHAPTER 8 HYPERBOLIC GEOMETRY
  15. CHAPTER 9 THE FUNDAMENTAL GROUP
  16. CHAPTER 10 GENERAL TOPOLOGY
  17. CHAPTER 11 POLYTOPES
  18. APPENDIX A CURVES
  19. APPENDIX B A BRIEF SURVEY OF GROUPS
  20. APPENDIX C PERMUTATIONS
  21. APPENDIX D MODULAR ARITHMETIC
  22. APPENDIX SOLUTIONS AND HINTS TO SELECTED EXERCISES
  23. REFERENCES AND RESOURCES
  24. Index