A Combinatorial Introduction to Topology

The creation of algebraic topology is a major accomplishment of 20th-century mathematics. The goal of this book is to show how geometric and algebraic ideas met and grew together into an important branch of mathematics in the recent past. The book also conveys the fun and adventure that can be part of a mathematical investigation.

Combinatorial topology has a wealth of applications, many of which result from connections with the theory of differential equations. As the author points o…