Computational Topology
eBook - PDF

Computational Topology

An Introduction

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Computational Topology

An Introduction

About this book

Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering.The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.

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Yes, you can access Computational Topology by Herbert Edelsbrunner,John L. Harer 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.

Table of contents

  1. Cover
  2. Title page
  3. Contents
  4. Preface
  5. Part I. Computational geometric topology
  6. Graphs
  7. Surfaces
  8. Complexes
  9. Part II. Computational algebraic topology
  10. Homology
  11. Duality
  12. Morse functions
  13. Part III. Computational persistent topology
  14. Persistence
  15. Stability
  16. Applications
  17. References
  18. Index
  19. Back Cover