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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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. In the second chapter Professor Mendelson discusses berf spaces, paying particular attention to various distance functions which may be defined on Euclidean n -space and which lead to the ordinary topology.
Introduction to Topology: Third Edition
Chapter 3 takes up the concept of topological space, presenting it as a generalization of the concept of a metric space. Kaustav Dasgupta rated it really liked it Apr 15, Paul rated it liked it May 25, I had worn myself out on other books dedicated ropology the subject, and this book provides a clearer, more to-the-point account of basic set theory than any I’ve found in a fi You caught me–technically, I haven’t finished this book yet.
I had worn myself out on other books dedicated to the subject, and this book provides a clearer, more to-the-point account of basic set theory than any I’ve found in a fifty page introduction, no less!
Trivia Mendelxon Introduction to T The style of the book is quite elegant and spare. Then comes a warmup chapter on metric spaces, which seems a bit cumbersome in places, but is turns out to be carefully designed to use exactly the same structure as will be used when introducing similar topics introdkction topological spaces.
Solutions to B. Mendelson: Introduction to Topology – QuantumHippo
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. Jun 28, Simona Vesela rated it it was amazing Shelves: There are no discussion topics on this book yet. Originally conceived as a text for a one-semester course, it is directed to undergraduate students whose studies 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.
The tour through metric spaces is quite helpful, introducing abstract definitions of topics such as continuity, neighborhoods and limit points that are crucial in topological spaces while the reader still has the crutch of distances to fall back on to make sense of the concepts. That was 4 years ago. If you are firmly rooted in your understanding of Set Theory and have had rigorous levels of experience with that nomenclature, only the first couple of readings will be a muddle.
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. Good lord I hate topology. Andrew Bartels rated it liked it Dec 14, 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 exercises have clarified the material and have been fun to work through. The book itself can certainl Overall, great introductory book to topology. PaperbackThird Editionpages. My intuition is still embedded way too deeply in Euclidean space, and I have to stress-test it to know when I’m relying on it too much.
Third Edition Introduction to Topology: Sorrynoremorse rated it really liked it Apr 29, Space Bat rated it it was amazing Jan 19, An Introduction to Algebraic Topology.
Sep 19, James rated it liked it. To see what your friends thought of this book, please sign up.
Introduction to Topology – Bert Mendelson – Google Books
Jonathan Miles rated it it was amazing Jul 17, Lists with This Book. Third Edition Add to Wishlist.
No preview available – User Review – Flag as inappropriate this is nice book. In this regard, it’s worth the read. Sadly, the book doesn’t have a section on homotopy equivalence and some other useful notions, but do recall it is an introduction in exactly pages of short text. One thing I would have appreciated, though, is a few more introduftion of non-Euclidean topological spaces that I could have used as exercises to poke at the definitions and proofs.
In particular, it was great for self-study as Mendelson doesn’t shy away from fully fleshing-out proofs and repeating relatively similar cases with some additional notes e. Thanks for telling us about the problem.
I struggled quite a bit with the intuition behind some of the proofs, and have, more than once, rolled around on my bed trying to recall or prove again some particular statement that I found quite useful.