Intuitive Concepts in Elementary Topology

Nonfiction, Science & Nature, Mathematics, Topology
Cover of the book Intuitive Concepts in Elementary Topology by B.H. Arnold, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: B.H. Arnold ISBN: 9780486275765
Publisher: Dover Publications Publication: February 23, 2015
Imprint: Dover Publications Language: English
Author: B.H. Arnold
ISBN: 9780486275765
Publisher: Dover Publications
Publication: February 23, 2015
Imprint: Dover Publications
Language: English

Classroom-tested and much-cited, this concise text offers a valuable and instructive introduction for undergraduates to the basic concepts of topology. It takes an intuitive rather than an axiomatic viewpoint, and can serve as a supplement as well as a primary text.
A few selected topics allow students to acquire a feeling for the types of results and the methods of proof in mathematics, including mathematical induction. Subsequent problems deal with networks and maps, provide practice in recognizing topological equivalence of figures, examine a proof of the Jordan curve theorem for the special case of a polygon, and introduce set theory. The concluding chapters examine transformations, connectedness, compactness, and completeness. The text is well illustrated with figures and diagrams.

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

Classroom-tested and much-cited, this concise text offers a valuable and instructive introduction for undergraduates to the basic concepts of topology. It takes an intuitive rather than an axiomatic viewpoint, and can serve as a supplement as well as a primary text.
A few selected topics allow students to acquire a feeling for the types of results and the methods of proof in mathematics, including mathematical induction. Subsequent problems deal with networks and maps, provide practice in recognizing topological equivalence of figures, examine a proof of the Jordan curve theorem for the special case of a polygon, and introduce set theory. The concluding chapters examine transformations, connectedness, compactness, and completeness. The text is well illustrated with figures and diagrams.

More books from Dover Publications

Cover of the book The Electrical Properties of Metals and Alloys by B.H. Arnold
Cover of the book Mosaic Tile Designs by B.H. Arnold
Cover of the book Northwest Coast Indian Designs by B.H. Arnold
Cover of the book Art Deco Decorative Ironwork by B.H. Arnold
Cover of the book Mechanics by B.H. Arnold
Cover of the book Japan Sinks by B.H. Arnold
Cover of the book Monsieur Lecoq by B.H. Arnold
Cover of the book Architectural Details and Measured Drawings of Houses of the Twenties by B.H. Arnold
Cover of the book On Dreams by B.H. Arnold
Cover of the book The Illustrated Book of Knights by B.H. Arnold
Cover of the book The Art of Piano Pedaling by B.H. Arnold
Cover of the book Great Drawings of Nudes by B.H. Arnold
Cover of the book Notes on the Quantum Theory of Angular Momentum by B.H. Arnold
Cover of the book Wulf the Saxon by B.H. Arnold
Cover of the book The Microscope and How to Use It by B.H. Arnold
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