Topology Illustrated. Volume 2 (Paperback) (ISBN-13: 9798339263630)

Algebraic topology is the main subject of this book that initially follows a two-semester first course in topology. It furthermore takes the reader to more advanced parts of algebraic topology as well as some applications: the shape of the universe, configuration spaces, digital image analysis, data analysis, social choice, exchange economy. An overview of discrete calculus is also included. The book contains over 1000 color illustrations and over 1000 exercises.

CONTENTS
Chapter 4. Spaces 1. Compacta 2. Quotients 3. Cell complexes 4. Triangulations 5. Manifolds 6. Products
Chapter 5. Maps 1. Homotopy 2. Cell maps 3. Maps of polyhedra 4. The Euler and Lefschetz numbers 5. Set-valued maps
Chapter 6. Forms 1. Discrete forms and cochains 2. Calculus on cubical complexes 3. Cohomology 4. Metric tensor
Chapter 7. Flows 1. Metric complexes 2. ODEs 3. PDEs 4. Social choice

Author: Peter Saveliev
ISBN-13: 9798339263630
Publisher: Independently Published
Language: English
Published: 10/01/2024
Pages: 406
Format: Paperback
Weight: 2.06lbs
Size: 11.00h x 8.50w x 0.83d