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

Introduction to Topology: Third Edition (Dover Books on Mathematics) Cover Image
$14.95
Ships from Warehouse, Usually in 1-8 Days

Description


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.


Product Details
ISBN: 9780486663524
ISBN-10: 0486663523
Publisher: Dover Publications
Publication Date: July 1st, 1990
Pages: 224
Language: English
Series: Dover Books on Mathematics
Front facade of University Press Books

From 1974, University Press Books has stoked the blaze of well over ten thousand minds on fire, carrying new scholarship published by the great university presses in the English-speaking world.

For more than 45 years, UPB operated out of our address at 2430 Bancroft Way in Berkeley. We're presently operating on line only. We have in sight opening an in-person service counter within the Musical Offering in late 2021. Sign up to our mailing list for word on dates when this and other changes may happen.

Order from us. Let well-wrought words churn and burn within.