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

About this book

This classic text appears here in a new edition for the first time in four decades. The new edition, with the aid of two new authors, brings it up to date for a new generation of mathematicians and mathematics students.

Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory, universal coefficient theorems, Kunneth theorem, duality in manifolds, and applications to classical theorems of point-set topology, this book is perfect for communicating complex topics and the fun nature of algebraic topology for beginners.

This second edition retains the essential features of the original book. Most of the notation and terminology are the same. There are some useful additions. There is a new introduction to homotopy theory. A new Index of Notation is included. Many new exercises are added.

Algebraic topology is a cornerstone of modern mathematics. Every working mathematician should have at least an acquaintance with the subject. This book, which is based largely on the theory of triangulations, provides such an introduction. It should be accessible to a broad cross-section of the profession—both students and senior mathematicians. Students should have some familiarity with general topology.

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Yes, you can access Elements of Algebraic Topology by James R Munkres,Steven G. Krantz,Harold Parks,James R. Munkres,Harold R. Parks in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Dedication Page
  7. Contents
  8. Preface
  9. Acknowledgement
  10. 1 Homology Groups of a Simplicial Complex
  11. 2 Topological Invariance of the Homology Groups
  12. 3 Relative Homology and the Eilenberg—Steenrod Axioms
  13. 4 Singular Homology Theory
  14. 5 Cohomology
  15. 6 Homology with Coefficients
  16. 7 Homological Algebra
  17. 8 Duality in Manifolds
  18. Additional Reading
  19. Biographical Information
  20. Bibliography
  21. Index of Notation
  22. Index