Principles of Topology

Fred H. Croom, Fred H. Croom

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English

Dover Publications Inc.
17 February 2016

Mathematics & Sciences; Topology

Topology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics. Designed for a one-semester introduction to topology at the undergraduate and beginning graduate levels, this text is accessible to students familiar with multivariable calculus. Rigorous but not abstract, the treatment emphasizes the geometric nature of the subject and the applications of topological ideas to geometry and mathematical analysis.

Customary topics of point-set topology include metric spaces, general topological spaces, continuity, topological equivalence, basis, subbasis, connectedness, compactness, separation properties, metrization, subspaces, product spaces, and quotient spaces. In addition, the text introduces geometric, differential, and algebraic topology. Each chapter includes historical notes to put important developments into their historical framework. Exercises of varying degrees of difficulty form an essential part of the text.

By: Fred H. Croom, Fred H. Croom
Imprint: Dover Publications Inc.
Country of Publication: United States
Dimensions: Height: 234mm, Width: 156mm, Spine: 16mm
Weight: 495g
ISBN: 9780486801544
ISBN 10: 0486801543
Pages: 336
Publication Date: 17 February 2016
Audience: College/higher education , A / AS level
Format: Paperback
Publisher's Status: Unspecified

Fred H. Croom is Professor of Mathematics at The University of the South, Sewanee, Tennessee.