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Introduction to Topology by Bert Mendelson
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A book that has been read but is in excellent condition. No obvious damage to the cover, with the dust jacket included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear.
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US $4.99 (approx RM 21.00) USPS Media MailTM.
Located in: Sussex, New Jersey, United States
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Estimated between Thu, 9 Oct and Wed, 15 Oct to 94104
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eBay item number:256120612750
Item specifics
- Condition
- Book Title
- Introduction to Topology Paperback Bert Mendelson
- Features
- EX-LIBRARY
- ISBN
- 9780486663524
About this product
Product Information
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.
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486663523
ISBN-13
9780486663524
eBay Product ID (ePID)
965298
Product Key Features
Publication Name
Introduction to Topology
Format
Trade Paperback
Language
English
Publication Year
1990
Series
Dover Books on Mathematics Ser.
Type
Textbook
Number of Pages
224 Pages
Subject
Topology
Subject Area
Mathematics
Dimensions
Item Length
8.5 in
Item Width
0.3 in
Item Weight
9.5 Oz
Additional Product Features
Edition Number
3
LCCN
90-032980
Lc Classification Number
Qa611.M39 1990
Edition Description
Third Edition
Table of Content
Preface1 Theory of Sets 1 Introduction 2 Sets and subsets 3 "Set operations: union, intersection, and complement" 4 Indexed families of sets 5 Products of sets 6 Functions 7 Relations 8 Composition of functions and diagrams 9 "Inverse functions, extensions, and restrictions" 10 Arbitrary products2 Metric Spaces 1 Introduction 2 Metric spaces 3 Continuity 4 Open balls and neighborhoods 5 Limits 6 Open sets and closed sets 7 Subspaces and equivalence of metric spaces 8 An infinite dimensional Euclidean space3 Topological Spaces 1 Introduction 2 Topological spaces 3 Neighborhoods and neighborhood spaces 4 "Closure, interior, boundary" 5 "Functions, continuity, homeomorphism" 6 Subspaces 7 Products 8 Identification topologies 9 Categories and functors4 Connectedness 1 Introduction 2 Connectedness 3 Connectedness on the real line 4 Some applications of connectedness 5 Components and local connectedness 6 Path-connected topological spaces 7 Homotopic paths and the fundamental group 8 Simple connectedness5 Compactness 1 Introduction 2 Compact topological spaces 3 Compact subsets of the real line 4 Products of compact spaces 5 Compact metric spaces 6 Compactness and the Bolzano-Weierstrass property 7 Surfaces by identificationBibliographyIndex
Target Audience
College Audience
Dewey Decimal
514/.3
Dewey Edition
20
Illustrated
Yes
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