Topology Illustrated. Volume 2

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 This is a new edition, corrected and updated. I had to split the paper version into two volumes because of Amazon's page limits. There is no solution manual in the works at this time.
ASIN: B0DJD1RNK9
VSKU: GBV.B0DJD1RNK9.A
Condition: Acceptable
Author/Artist:Saveliev, Peter
Binding: Paperback
Note: Any images shown are stock photographs and product may differ from what is shown.
Condition Notes: This book is in acceptable condition and may have highlighting and or writing throughout. The actual cover image may not match the stock photo, dust jacket may be damaged or missing. Book may show internal and or external wear on spine or cover and may be slightly skewed or have creased pages. This is a used book so codes may be invalid or accompanying media may be missing. May be an Ex library book with stickers and stamps.