Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the. Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal. Book:Bert Mendelson/Introduction to Topology 1 Introduction: 2 Sets and subsets: 3 Set operations: union, intersection, and complement: 4.
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This book seems very difficult for an introduction.
The theorems never change, but the wording does, slowly, and this is visible when Mendelson uses terms like identification topology rather than quotient space. 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 math books. Return to Book Page. Rafael Alves rated it really liked it Sep 21, introduciton The topology content covered is entirely point-set beert, covering the basics of openness, ttopology, and connectedness, without moving any deeper.
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. 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.
Refresh and try again.
Unabridged Dover republication of the edition published by Allyn and Bacon, Inc. 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 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.
It was sort of helpful in getting the big picture of Topology and its relationship to calculus and other branch of Mathematics. Preview — Introduction to Topology by Bert Mendelson. This is basic stuff folks! 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.
Chapters 4 and 5 are devoted to a discussion of the two most important topological properties: No preview available – The exercises have clarified the material and have been fun to work through. Jonathan Miles rated it it was amazing Jul 17, But it’s quite enjoyable for those who are willing and able to supply the mental effort and let the author guide your efforts.
One of the best formal introductions to basic Topology. If you like books and love to build cool products, we may be looking for you.
Throughout the text, Dr. Topology and Geometry for Physicists. Good book on it, though. 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. You will find maybe a paragraph or two of intuition. 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.
That was 4 years ago. Jun 02, Billy Dean rated it liked it. Alex rated it liked it Dec 14, Reprint of the Allyn and Bacon, Inc.
Introduction to Topology by Bert Mendelson
One thing I would have appreciated, though, is a few more examples of non-Euclidean topological spaces that I could have used as exercises to poke at the definitions and proofs. I’ll get back to you about the rest when I’m more prepared to treat topology in earnest. The book is very self-contained, and should be accessible to any undergrad comfortable with proofs and preferably at least some exposure mendellson real analysis. Good, but very quick and straight to the point.
Introduction to Topology
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. This book helped me immensely in analysis. Daze rated it it was amazing Nov 27, Sutherland Limited preview – Want to Read Currently Reading Read. You caught me–technically, I haven’t finished this book yet.
Be the first to ask a question about Introduction to Topology. 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. This book took me at least hours to get through, skipping only the very latter section of the compactess chapter and doing at least two of the harder problems in each section; but I have very little experience with analysis, something I’m sure would have helped complete this and gain the corresponding intuition much more quickly.
Sep 06, CD rated it really liked it Shelves: A Combinatorial Introduction to Topology. Doesn’t really help one develop an intuition of the subject. Chapters 4 and 5 are devoted to a discussion of the two most important topological properties: Introduction to Knot Theory.
References to this book Shape Analysis and Classification: 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.
Elementary Concepts of Topology. My library Help Advanced Book Search. Texts in fields other than math tend to become dated much faster.