Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry (Universitext)
| Author | : | |
| Rating | : | 4.51 (870 Votes) |
| Asin | : | 3540003622 |
| Format Type | : | paperback |
| Number of Pages | : | 214 Pages |
| Publish Date | : | 2016-12-20 |
| Language | : | English |
DESCRIPTION:
Jerome Jean-charles said Insight Pedagogy and Honesty. While allowing you to learn new concepts and definitions in a classical sense , this book shows what mathematics is about. It makes connections and gives you insight.If you think that mathematics is made out of connections and is an "Art of variations" you will be rewarded. Those interested in the "frontier" between discrete and continuous will be interested too.Definitely pedagogical and moreover intellectually honest.
A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. This book is the first textbook treatment of a significant part of these results. To the uninitiated, algebraic topology might seem fiendishly complex, but its utility is beyond doubt. The topological tools are intentionally kept on a very elementary level. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem and its generalizations. No prior knowledge of algebraic topology is assumed, only a background in undergraduate mathematics, and the required topological notions and results are gradually explained.. This brilliant exposition goes back to basics to explain how the subject has been used to further our understanding in some key areas