Principles of Topology
Editorial DOVER PUBLICATIONS INC
Do you want to pick it up at the bookstore?
Mainland Spain
- Publisher DOVER PUBLICATIONS INC
- ISBN13 9780486801544
- ISBN10 0486801543
- Type BOOK
- Pages 312
- Published 2016
- Language English
- Bookbinding Paperback
Subjects
MathematicsPrinciples of Topology
Editorial DOVER PUBLICATIONS INC
Do you want to pick it up at the bookstore?
Mainland Spain
Book details
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.
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.