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Topology (2nd Edition) Hardcover – Dec 28 1999


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Product Details

  • Hardcover: 537 pages
  • Publisher: Pearson; 2 edition (Dec 28 1999)
  • Language: English
  • ISBN-10: 0131816292
  • ISBN-13: 978-0131816299
  • Product Dimensions: 17.8 x 3.3 x 23.6 cm
  • Shipping Weight: 975 g
  • Average Customer Review: 4.7 out of 5 stars  See all reviews (16 customer reviews)
  • Amazon Bestsellers Rank: #64,904 in Books (See Top 100 in Books)
  • See Complete Table of Contents

Product Description

From the Back Cover

This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.


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We adopt, as most mathematicians do, the naive point of view regarding set theory. Read the first page
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2 of 2 people found the following review helpful By David Elder on June 30 2003
Format: Hardcover
This is a fantastic book, the type of perfection to which all writers of mathematical texts should aspire. There are plenty of definitions, theorems, and proofs, as well as informative examples and prose exposition. The expository text is what makes this book really stand out. Munkres explains the concepts expressed abstractly in theorems and definitions. That is, he builds motivations for the necessarily abstract concepts in topology. This greatly improves the readability of the book, making it accessibly to general readers in mathematics, science, and engineering.
The book is divided into two sections, the first covering general, i.e. point-set, topology and the second covering algebraic topology. Exercises (without solutions) are provided throughout. The exercises include straight-forward applications of theorems and definitions, proofs, counter-examples, and more challenging problems.
My only complaint with this book is that it does not discuss manifolds and differentiable topology, but other texts fill this gap.
I highly recommend this book to anyone interested in studying topology; it is especially well-suited for self study.
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1 of 1 people found the following review helpful By A Customer on April 7 2004
Format: Hardcover
My introduction to Munkres was in an independent study of point set topology in my final semester of undergraduate work. A professor assigned me problems from the book, but my learning was largely self motivated. I found that it was an excellent book for independent study. The text was clear and readable and the exercises helped to cement the concepts that are introduced in the reading.
Later at graduate school, Munkres was also used in a topology class at the beginning graduate level. Highlights were taken from the first section (point set topology), and a large focus of the class was on the algebraic topology in the second section of the book. Sometimes I had difficulty following exactly what the professor was doing at the blackboard, but I could always understand what was going on when I consulted Munkres.
I would stress that this is only to be used as an introduction to algebraic topology, as there is nearly no development of homology groups and other algebraic concepts. However, it gives a very good presentation for the fundamental group. As a whole it would be a very good addition to your mathematical library.
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1 of 1 people found the following review helpful By another reader on April 11 2004
Format: Hardcover
Not much to add here... there are enough easy problems that I can get the hang of something, but also some really tough ones at the end of each problem section. The proofs and examples in the text are really good guides to doing the problems also. In some sections there are counterexamples for, say, the converse of a theorem which are always really pathological. At the beginning of each section there is some discussion on what to expect, why the stuff is important, what to do with it, etc. Even though I had a really good prof for the topology course I did this book was very helpful out of the classroom.
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Format: Hardcover
(note: This applies to the 1974 edition. I'm guessing that the newer edition is similar or better) I've taught myself all the mathematics that I know beyond basic arithmetic, so I know what a good book for self study is. This is it. Munkres has a way of writing which makes a concept very clear, without losing rigor. I find that I only need to re-read sections in this book a couple of times to get them (as opposed to my customary 4-5). The examples and excersizes really helped me understand a number of key concepts. He follows a method suggested by Gian-Carlo Rota: give non-examples. He gives examples of connected but not path connected spaces, and similar things thoughout. Paul Halmos has said that one cannot really understand what a thing is until one has seen pathological cases, and Munkres gives many of these. I highly recommend it!
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Format: Hardcover
When I was in a topology course in graduate school, I constantly returned to the Munkres book to get clearer explanations of concepts than any of the graduate-level books could provide. What is noteworthy is that the ease of understanding did NOT come at the price of shallower coverage or lack of mathematical rigor. Although this is an undergraduate text, it covers almost everything you would get in a first-year graduate course in point set topology. If you want to learn that material for the first time without an instructor, then this is the book to use. And, if you are working in another area of mathematics, and come across words like "compact", "metric space", or "connected", and have forgotten what they mean, go straight to Munkres. He always talks to you like a real human being.
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By Cu-O on Oct. 27 2001
Format: Hardcover
Taking a first course in topology could not be better complemented. This clear exposition of point set and algebraic topology is so well written that it could even be used for self study. Motivation from the professor is always helpful, but Munkres actually goes quite far in providing a reason for the topics in question. Furthermore, the examples clarify many of the presented concepts and even show some of the misconceptions a student may have.
Having a course in analysis would certainly make the book flow since otherwise it would just to be a mental exercise rather than an extension of familiar concepts.
The exercises are very well thought out and are meant to be solved by all students given that they have some diligence. They truly help in turning a fog of concepts into concrete understanding.
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