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Introduction to Topology
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Bibliographic Detail
Publisher Dover Pubns
Publication date July 1, 1990
Binding Paperback
Edition 3
Book category Adult Non-Fiction
ISBN-13 9780486663524
ISBN-10 0486663523
Dimensions 0.50 by 5.50 by 8.75 in.
Weight 0.45 lbs.
Original list price $14.95
Other format details sci/tech
Summaries and Reviews
Amazon.com description: Product Description:
Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Originally conceived as a text for a one-semester course, it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure.
The author begins with an informal discussion of set theory in Chapter 1, reserving coverage of countability for Chapter 5, where it appears in the context of compactness. In the second chapter Professor Mendelson discusses metric spaces, paying particular attention to various distance functions which may be defined on Euclidean n-space and which lead to the ordinary topology.
Chapter 3 takes up the concept of topological space, presenting it as a generalization of the concept of a metric space. Chapters 4 and 5 are devoted to a discussion of the two most important topological properties: connectedness and compactness. Throughout the text, Dr. Mendelson, a former Professor of Mathematics at Smith College, has included many challenging and stimulating exercises to help students develop a solid grasp of the material presented.


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Paperback
Book cover for 9780486663524
 
The price comparison is for this edition
3 edition from Dover Pubns (July 1, 1990)
9780486663524 | details & prices | 5.50 × 8.75 × 0.50 in. | 0.45 lbs | List price $14.95
About: Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology.

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