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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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. 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. Sep 06, CD rated it really liked it Shelves: Therefore, I am going to buy another books about this subject and then compare them with this one.
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: If you are studying any of the modern flashback theories of the universe, the relationship between Hilbert Space and Euclidean inclusion along convergences is a must!
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.
Jul 11, Jason Evans rated it liked it.
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. The nest thing I liked about this book was that it connected the topics connectedness to intermediate value theorem and as such.
PaperbackThird Editionpages. The tour through metric I’m not yet enough of an expert on topology to give this a truly informed review; I can compare this to only to one other topology text but plenty of intrdouction books.
However, the introductory overview of set theory and set theoretical notation is invaluable if you’re interested at all in foundational mathematics or philosophy of mathematics be it Russell or Badiou. Oct 25, Kiehl Christie rated it liked it.
Jonathan Miles rated it it was amazing Jul 17, 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. Thanks for telling us about the problem. Overall a good book. This book seems very difficult for an introduction.
It doesn’t tk once an argument or proof is complete, but is quite readable despite its terseness. You caught me–technically, I haven’t finished this book yet.
Introduction to Topology
Throughout the text, Dr. Juke rated it really liked it Aug 03, That’s not to say reading it is simple, however; expect to put in some work following the proofs and solving problems if you want to get something out of it.
My library Help Advanced Book Search. If you are firmly rooted in your understanding of Set Theory and have had rigorous levels of experience with that nomenclature, only the introductiion couple of readings will be a muddle. Introduction to Topology by Bert Mendelson.
Good, but very quick and straight to the point. If you are studying a I actually have the Second Edition, must speak with a librarian or become one to add this and several other ‘older’ books of this standard.
Introduction to Topology: Third Edition
Third Edition Introduction to Topology: Not unlike several other ‘Intro’ books, there is a rather large amount of pre-req knowledge required.
Sutherland Limited preview – Books by Bert Mendelson. This style will be too brief for students who mendelsn more redundancy, hand-holding, and worked exercises. No trivia or quizzes yet. Other editions – View all Introduction to Topology: The book includes plenty of end-of-section examples, of a range of difficulties. My library Help Advanced Book Search.
Introduction to Topology: Third Edition
An Introduction to Topology is a consistent, accessible, and charming compendium of a few higher branches of symbolic maneuvering. This is basic stuff folks! The theorems never change, but the wording does, slowly, and this is visible when Mendelson uses terms like identification topology rather than quotient space.
I was expecting something more readable. Introduction to Knot Theory.
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 for topological spaces. Mendeleon resource for learning about topology, although I wasn’t really prepared for several proofs and exercises so it was hard to wrap my mind around some concepts.
One of the best formal introductions to basic Topology.