Introduction to Topology: Third Edition (Dover Books on

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

Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introductionÂ 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.
Country USA
Manufacturer Dover Publications
Binding Kindle Edition
ReleaseDate 2012-03-29
Format Kindle eBook
EANs 9780486135090

Country	USA
Manufacturer	Dover Publications
Binding	Kindle Edition
ReleaseDate	2012-03-29
Format	Kindle eBook
EANs	9780486135090

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

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