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Introduction to Topology

By Bert Mendelson

Introduction to Topology Mathematics

Introduction to Topology

By Bert Mendelson

Only 1 item left in stock
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. Unabridged Dover (1990) republication of the edition published by Allyn and Bacon, Inc., Boston 1975.
Product details
Binding:
Paperback
Edition:
3
Number of Pages:
224
Release Date:
1990-07-01
Publication Date:
1990-07-01
Publisher:
Dover Publications
Languages:
Original: English
ISBN10:
0486663523
ISBN13:
9780486663524
GPSR Manufacturer Reference:
[email protected]
Weight:
237 g
Height:
137 cm
Width:
219 cm
Thickness:
14 cm
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