INTRODUCTION TO TOPOLOGY

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Sinopsis de INTRODUCTION TO TOPOLOGY
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 onesemester course it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems The book39s 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 structureThe 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 nspace and which lead to the ordinary topologyChapter 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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introduction to topology-9781684119264

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