Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal. Introduction to Topology has ratings and 15 reviews. Steve said: I’m not yet enough of an expert on topology to give this a truly informed review; I. This book is meant to cover a basic topology course for undergraduates and I found it very approachable even with my limited background in pure math.
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Introduction to Topology – Bert Mendelson – Google Books
Originally conceived as a text for a one-semester course, it is directed to undergraduate students whose studies My library Help Advanced Book Search. Courier Corporation- Mathematics – pages.
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 mendelosn countability for Chapter 5, where it appears in the context of compactness. In the second chapter Professor Mendelson discusses metric spaces, paying intorduction 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: 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 too grasp of the material presented.
Unabridged Dover republication of the edition published by Allyn and Bacon, Inc. Selected pages Title Page. Contents Theory of Sets.
Other editions – View all Introduction to Topology: Third Edition Bert Mendelson Limited preview – Introduction to topology, Volume 1 Bert Mendelson Snippet view – Common terms and menddlson Bdry boundary called circle closed interval closed path closed sets mrndelson subset closure Cmp a collection of subsets compact space concept connected subsets connectedness contains an open continuous function continuous mapping Conversely Corollary countable degree mendwlson closeness denoted diagram disc distance function edges element example Figure finite subcollection finite subcovering function defined function f: X functor Given a subset Hausdorff space hence homeomorphic hood identification topology indexed family infinite subset intersection inverse functions Klein bottle Lemma Let f: References to this book Shape Analysis and Classification: No preview available – Sutherland Limited preview – Shape Analysis and Classification: