robert ghrist

applied topology

all works copyright robert ghrist. all rights reserved.

**ELEMENTARY APPLIED TOPOLOGY **

R. Ghrist, "Elementary Applied Topology", ISBN 978-1502880857, Oct. 2014.

this text covers the mathematics behind the exciting new field of applied topology;

both the mathematics and the applications are taught side-by-side.

this text is densely illustrated and suitable for self-study or as part of a course.

pdf chapters are available for free for personal use: do not distribute!

a hardcopy version of this text will soon be for sale on amazon. stay tuned!

- Title page
- Contents
- Preface
- Chapter 1: Manifolds
- Chapter 2: Complexes
- Chapter 3: Euler Characteristic
- Chapter 4: Homology
- Chapter 5: Sequences
- Chapter 6: Cohomology
- Chapter 7: Morse Theory
- Chapter 8: Homotopy
- Chapter 9: Sheaves
- Chapter 10: Categorification
- Appendix: Background
- Bibliography
- Index

this book had as precursor a set of hand-drawn lecture notes...

**APPLIED TOPOLOGY NOTES**

- [2010] “Applied Algebraic Topology & Sensor Networks” - caveat! file>50megs!