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portada Introduction to Topology: Third Edition
Type
Physical Book
Author
Publisher
Year
2019
Language
English
Pages
224
Format
Paperback
Dimensions
22.9 x 15.2 x 1.3 cm
Weight
0.34 kg.
ISBN13
9781684119264
Categories

Introduction to Topology: Third Edition

Bert Mendelson (Author) · WWW.Snowballpublishing.com · Paperback

Introduction to Topology: Third Edition - Mendelson, Bert

New Book Imported to Netherlands
Delivery: 11 Aug - 13 Aug Shipping: 4 to 5 business days.
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Synopsis "Introduction to Topology: Third Edition "

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.

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