Introduction to Topology (Dover Books on Mathematics)@822 Rs [Mrp:-822]

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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.”

Product Details :

Author Bert Mendelson
Binding Paperback
Brand imusti
EAN 9780486663524
Edition 3rd Revised edition
ISBN 0486663523
Label Dover Publications Inc.
Manufacturer Dover Publications Inc.
MPN 9780486663524
NumberOfItems 1
NumberOfPages 224
PackageQuantity 1
PartNumber 9780486663524
ProductGroup Book
ProductTypeName ABIS_BOOK
PublicationDate 1991-01-28
Publisher Dover Publications Inc.
SKU 9780486663524
Studio Dover Publications Inc.
Title Introduction to Topology (Dover Books on Mathematics)
UPC 800759663521