Introduction to Topology : Third Edition

Beschreibung

Neuware - 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.

Bestandsnummer des Verkäufers 9780486663524

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Bibliografische Details

Titel

Introduction to Topology : Third Edition

Verlag

Dover Publications Jul 1990

Erscheinungsjahr

1990

Sprache

Englisch

ISBN-10

0486663523

ISBN-13

9780486663524

Einband

Taschenbuch

Auflage

3. Auflage

Zustand

Neu

Abmessungen

219B x 137 H x 14 T Millimeter Breite: 219 mm, Höhe: 137 mm, Tiefe: 14 mm

Gewicht

237 Gramm

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