Topology Illustrated
Peter Saveliev | 2016 | ISBN: 1495188752 | 664 pages | PDF | 90 MB
Peter Saveliev | 2016 | ISBN: 1495188752 | 664 pages | PDF | 90 MB
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 (extended presentation in Calculus Illustrated. Volume 1: Precalculus). The book contains over 1000 color illustrations and over 1000 exercises.