Intuitive Concepts in Elementary Topology - Brossura

Arnold, B. H.

Brossura

ISBN 10: 0486481999 ISBN 13: 9780486481999

Casa editrice: Dover Pubns, 2011

Riassunto

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.

Su questo libro

L'autore:

Bradford Henry Arnold is a Professor Emeritus of Mathematics at Oregon State University.

Contenuti:

0. Statements and Proofs in Mathematics 1. What is Topology? 2. Networks and Maps 3. Topological Equivalence in Three-Dimensional Space 4. Maps on a Sphere with Handles 5. The Jordan Curve Theorem 6. Sets 7. Transformations 8. Spaces References Index

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2011
• ISBN 10: 0486481999
• ISBN 13: 9780486481999
• Rilegatura: Copertina flessibile
• Numero di pagine: 182