Introduction to Topology: Third Edition (Dover Books on Mathematics)


Introduction to Topology: Third Edition (Dover Books on Mathematics) Author Bert Mendelson
ISBN-10 0486663523
ISBN-13 9780486663524
Year 1990-07-01
Pages 224
Language English
Publisher Dover Publications
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Highly regarded for its exceptional clarity imaginative and instructive exercises and fine writing style this concise book offers an ideal introductionto 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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