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.
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486665224
ISBN-13
9780486665221
eBay Product ID (ePID)
866870
Product Key Features
Author
Michael C. Gemignani
Publication Name
Elementary Topology
Format
Trade Paperback
Language
English
Features
Revised
Publication Year
1990
Series
Dover Books on Mathematics Ser.
Type
Textbook
Number of Pages
288 Pages
Dimensions
Item Length
8.5in
Item Width
5.4in
Item Weight
11.8 Oz
Additional Product Features
Lc Classification Number
Qa611.G45 1990
Edition Description
Revised Edition
Edition Number
2
Copyright Date
1990
Target Audience
College Audience
Topic
Topology
Lccn
90-042722
Dewey Decimal
514
Dewey Edition
20
Illustrated
Yes
Genre
Mathematics
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