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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 math books).The book starts out with a very compact review of set theory (no pun intended). 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. The tour through metric...
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. Not unlike several other 'Intro' books, there is a rather large amount of pre-req knowledge required. 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.One of the best formal introductions to basic Topology. If you are studying a...
You caught me--technically, I haven't finished this book yet. I'll admit that I'm not quite ready to tackle topology itself. 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). 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 fi...
I have the patience of a hummingbird. Therefore I`m well-equipped to appreciate any popularly pitched math textbook. An Introduction to Topology is a consistent, accessible, and charming compendium of a few higher branches of symbolic maneuvering. I dare you to read it.
Good lord I hate topology. Good book on it, though.
This is my first book on Topology, and it's quite good. First few chapters are basic and about sets, functions. The nest thing I liked about this book was that it connected the topics connectedness to intermediate value theorem and as such. It was sort of helpful in getting the big picture of Topology and its relationship to calculus and other branch of Mathematics. Great Book to start studying Topology
It has taken me roughly 20 hours to read the first 40 pages. That was 4 years ago. Last few weeks I have worked through the rest in maybe 10 hours. What made this book stand out for me back then eas, that it was very indroductory and didn't assume much. The exercises have clarified the material and have been fun to work through.
Primarily algebraic in orientation, it concludes with the fundamental group of topology. Pretty good overall introduction to topology, short and concise.
It is a very gripping book with lots of characters and lots of drama.
Good book but very dense for a non-mathematician like myself. Doesn't really help one develop an intuition of the subject.
Overall, great introductory book to topology. The pedagogy was excellent and the development of topics made sense in going from metric spaces (a notion that is generally more intuitive) to abstract topological spaces.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.g. when going from metric to topological spaces and proving several ideas there). The book itself can certainl...
Excellent 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. Overall a good book.
I was expecting something more readable. This book seems very difficult for an introduction. Therefore, I am going to buy another books about this subject and then compare them with this one.
ugh. this be difficult.
Good, but very quick and straight to the point. You will find maybe a paragraph or two of intuition. This book helped me immensely in analysis.