M. C. GEMIGNANI Elementary Topology

ISBN 13: 9780201023268

Elementary Topology

9780201023268: Elementary Topology
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Topology is one of the most rapidly expanding areas of mathematical thought: while its roots are in geometry and analysis, topology now serves as a powerful tool in almost every sphere of mathematical study. This book is intended as a first text in topology, accessible to readers with at least three semesters of a calculus and analytic geometry sequence.
In addition to superb coverage of the fundamentals of metric spaces, topologies, convergence, compactness, connectedness, homotopy theory, and other essentials, Elementary Topology gives added perspective as the author demonstrates how abstract topological notions developed from classical mathematics. For this second edition, numerous exercises have been added as well as a section dealing with paracompactness and complete regularity. The Appendix on infinite products has been extended to include the general Tychonoff theorem; a proof of the Tychonoff theorem which does not depend on the theory of convergence has also been added in Chapter 7.

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About the Author:

MICHAEL C. GEMIGNANI is Senior Vice President for Academic Affairs and Provost, University of Houston, Clear Lake, Houston.

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Other Popular Editions of the Same Title

9780486665221: Elementary Topology: Second Edition (Dover Books on Mathematics)

Featured Edition

ISBN 10:  0486665224 ISBN 13:  9780486665221
Publisher: Dover Publications, 1990

9780201023404: Elementary Topology (Addison-Wesley Series in Mathematics)

Addiso..., 1972