A First Course William Fulton is a textbook on algebraic topology, published by Springer-Verlag. This book provides an overview of core ideas in topology with an emphasis on concrete problems in low dimensions.
Instead of choosing a single specific approach within topology, such as homotopy theory or differential topology, the book focuses on problem solving with as little algebraic complexity as possible. This makes it accessible to students seeking a first introduction to the field.
Contents
The emphasis is on connections between homology and integration, winding numbers, degrees of maps, and fixed-point theorems. In addition, the book contains applications such as the Jordan curve theorem and preservation of domains. It also covers indices of vector fields, Euler characteristics, and the fundamental group.
Product specifications
- Author: William Fulton
- Series: Graduate Texts in Mathematics
- Publisher: Springer-Verlag New York Inc.
- Publication date: 1995-07-27
- Number of pages: 430
- ISBN: 9780387943275
- Topic: Algebraic topology
- BISAC: MATHEMATICS / Topology