Principles of Topology

Nonfiction, Science & Nature, Mathematics, Topology
Cover of the book Principles of Topology by Fred H. Croom, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Fred H. Croom ISBN: 9780486810447
Publisher: Dover Publications Publication: March 17, 2016
Imprint: Dover Publications Language: English
Author: Fred H. Croom
ISBN: 9780486810447
Publisher: Dover Publications
Publication: March 17, 2016
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book The Well-Tempered Clavier by Fred H. Croom
Cover of the book Faust, Part One by Fred H. Croom
Cover of the book Mathematical Snapshots by Fred H. Croom
Cover of the book Geometry, Its Elements and Structure by Fred H. Croom
Cover of the book The Rough Riders by Fred H. Croom
Cover of the book Introduction to Artificial Intelligence by Fred H. Croom
Cover of the book Wit and Wisdom from Poor Richard's Almanack by Fred H. Croom
Cover of the book An Introduction to the Principles of Morals and Legislation by Fred H. Croom
Cover of the book Optimal Control and Estimation by Fred H. Croom
Cover of the book Optimization Theory for Large Systems by Fred H. Croom
Cover of the book The Discovery of the Mind by Fred H. Croom
Cover of the book Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions by Fred H. Croom
Cover of the book Complete Preludes, Impromptus and Valses-Caprices by Fred H. Croom
Cover of the book Communication Nets by Fred H. Croom
Cover of the book Arts and Crafts Stained Glass Pattern Book by Fred H. Croom
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy