Introduction To Topology Third Edition

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  • Engels
  • Paperback
  • 9780486663524
  • 28 maart 2003
  • 224 pagina's
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Samenvatting

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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Inhoud

Taal
en
Bindwijze
Paperback
Oorspronkelijke releasedatum
28 maart 2003
Aantal pagina's
224
Illustraties
Nee

Betrokkenen

Hoofdauteur
Bert Mendelson
Tweede Auteur
Mathematics
Hoofduitgeverij
Dover Publications Inc.

Overige kenmerken

Editie
3
Extra groot lettertype
Nee
Product breedte
140 mm
Product hoogte
13 mm
Product lengte
222 mm
Studieboek
Ja
Verpakking breedte
141 mm
Verpakking hoogte
15 mm
Verpakking lengte
216 mm
Verpakkingsgewicht
270 g

EAN

EAN
9780486663524

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