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Introduction to Topology - (Dover Books on Mathematics) 3rd Edition by Bert Mendelson (Paperback)
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About this item
Highlights
- 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.
- Author(s): Bert Mendelson
- 224 Pages
- Mathematics, Geometry
- Series Name: Dover Books on Mathematics
Description
About the Book
Concise undergraduate introduction to fundamentals of topology -- clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set theory, metric and topological spaces, connectedness, and compactness. 1975 edition.Book Synopsis
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.From the Back Cover
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.Unabridged Dover (1990) republication of the edition published by Allyn and Bacon, Inc., Boston 1975.
Dimensions (Overall): 8.41 Inches (H) x 5.44 Inches (W) x .45 Inches (D)
Weight: .51 Pounds
Suggested Age: 22 Years and Up
Number of Pages: 224
Genre: Mathematics
Sub-Genre: Geometry
Series Title: Dover Books on Mathematics
Publisher: Dover Publications
Format: Paperback
Author: Bert Mendelson
Language: English
Street Date: July 1, 1990
TCIN: 77718308
UPC: 9780486663524
Item Number (DPCI): 247-59-9576
Origin: Made in the USA or Imported
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Shipping details
Estimated ship dimensions: 0.45 inches length x 5.44 inches width x 8.41 inches height
Estimated ship weight: 0.51 pounds
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