Author:
Gerard Buskes - Arnoud van Rooij

ISBN 13:
9780387949949

ISBN 10:
387949941

Edition:
1997

Publisher:
Springer

Publication Date:
1997-08-15

Format:
Hardcover

Pages:
313

List Price:
$64.95

Topological Spaces: From Distance to Neighborhood is a gentle introduction to topological spaces leading the reader to understand the notion of what is important in topology vis-a-vis geometry and analysis. The authors have carefully divided the book into three sections; The line and the plane, Metric spaces and Topological spaces, in order to mitigate the move into higher levels of abstraction. Students are thereby informally assisted in getting aquainted with new ideas while remaining on familiar territory. The authors have also restricted the mathematical vocabulary in the book to avoid overwhelming the reader with the extensive array of technical terms indicating the properties of topological spaces. Additionally, the concept of convergence is employed to allow students to focus on a central theme while moving to a natural understanding of the notion of topology. The pace of the book is relaxed with gradual acceleration. The intial pace makes the first nine sections into a balanced course in metric spaces while allowing ample material for a two-semester course. The authors do not assume previous knowledge of axiomatic approach or set theory.