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Principles of Topology (Dover Books on Mathematics) (Paperback)

Principles of Topology (Dover Books on Mathematics) By Fred H. Croom Cover Image


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.

About the Author

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

Product Details
ISBN: 9780486801544
ISBN-10: 0486801543
Publisher: Dover Publications
Publication Date: February 17th, 2016
Pages: 336
Language: English
Series: Dover Books on Mathematics