Principles of Topology by Fred H. Croom (English) Paperback Book

The Nile on eBay   Principles of Topology by Fred H. Croom, Derek F. Lawden

Designed for a one-semester introductory course, this text covers metric spaces, general topological spaces, continuity, topological equivalence, basis and subbasis, connectedness and compactness, separation properties, metrization, subspaces, product spaces, and quotient spaces. 1989 edition.

FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description

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.

Back Cover

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. Dover (2015) republication of the edition originally published by Saunders College Publishing, Philadelphia, 1989, and by Cengage Learning Asia, 2002. See every Dover book in print at

Author Biography

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

Table of Contents

Preface 1. Introduction 2. The Line and the Plane 3. Metric Spaces 4. Topological Spaces 5. Connectedness 6. Compactness 7. Product and Quotient Spaces 8. Separation Properties and Metrization 9. The Fundamental Group Appendix: Introduction to Groups Bibliography Index

Long Description

Designed for a one-semester introduction to topology at the undergraduate and beginning graduate levels, this text is accessible to students who have studied multivariate calculus. Topics include metric spaces, general topological spaces, continuity, topological equivalence, basis and subbasis, connectedness and compactness, separation properties, metrization, subspaces, product spaces, and quotient spaces.

Details ISBN0486801543 Author Derek F. Lawden Pages 336 Language English ISBN-10 0486801543 ISBN-13 9780486801544 Media Book Format Paperback Birth 1941 DEWEY 514 Year 2016 Short Title PRINCIPLES OF TOPOLOGY FIRST E Imprint Dover Publications Inc. Place of Publication New York Country of Publication United States Publication Date 2016-03-25 UK Release Date 2016-03-25 AU Release Date 2016-03-25 NZ Release Date 2016-03-25 US Release Date 2016-03-25 Publisher Dover Publications Inc. Edition Description First Edition, First ed. Audience Undergraduate Series Dover Books on Mathema 1.4tics We've got this

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