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Introduction to Topology: Second Edition | 
 enlarge | Authors: Theodore W. Gamelin, Robert Everist Greene
Publisher: Dover Publications
Category: Book
List Price: $12.95
Buy New: $8.57
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Rating:  7 reviews
Sales Rank: 96946
Media: Paperback
Edition: 2
Pages: 256
Number Of Items: 1
Shipping Weight (lbs): 0.4
Dimensions (in): 9 x 6 x 0.6
ISBN: 0486406806
Dewey Decimal Number: 514
EAN: 9780486406800
Publication Date: February 16, 1999
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Product Description
This volume explains nontrivial applications of metric space topology to analysis, clearly establishing their relationship. Also, topics from elementary algebraic topology focus on concrete results with minimal algebraic formalism. Two chapters consider metric space and point-set topology; the other 2 chapters discuss algebraic topological material. Includes exercises, selected answers, and 51 illustrations. 1983 edition.
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| Customer Reviews: Read 2 more reviews...
 exceptionally well organized June 18, 2001
K. Braithwaite (inkster, MI USA)
21 out of 21 found this review helpful
This is a lean fast introduction to topology at the third or fourth year level. Pure math types only. The book is terse but the topics are selected with care and one things leads to the next. The proofs are sufficiently detailed. Nearly every exercise has a solution in the back. The clearest exposition of the fundamental group I've seen.
excellent introduction to topology April 11, 2003
TEJUS SAWJIANI (Chennai, India)
20 out of 20 found this review helpful
I used this book to teach myself the basics of point-set topology and homotopy theory. What makes this book so great is that the author doesn't waste words in delving into the heart of a concept, while providing insight into it. A good collection of interesting problems, most with solutions in the back of the book. This makes this book very good for self study. If you liked Rudin, you'll probably like this book as well, as it is written in a similar style. If someone knows of a better introduction, do let me know.
I'm not good at math January 20, 2008
Bachelier (Ile de France)
I wanted to teach myself some topology and a friend with mutiple Math PhD's reccomended this book to me.
This is a tremendous value, and is comprehensible. But it is prety lean and direct, so be prepared to work on this in a quiet place where you can concentrate for a sustained period of time. Proofs are direct, and expect you to be familiar with notation through all of Algebra.
I re-emphasize: there is zero, no, nada, blank, null coddeling here. Every single word, every single notation is important, and if you haven't read, marked, and inwardly digested each one it is a promise you will be lost in a page or two and have to go back. There is no fat here at all and the authors don't babysit you or expalin anything five different ways. This is direct on the coal face math.
Still, I knew only basic basic basic totpology before this, and now I have a vague understanding of all the major areas of further inquiry.
A very good value.
A Wonderful Book May 17, 2008
Patrick Thompson (Nassau, Bahamas)
I highly recommend this book as a supplement to another topology text with the answers. Students may not learn very from it because they may just copy the answers in the back of the text. It is a great book though.
 Good grad school prep. May 24, 2001
Brian Dolan (reseda, CA United States)
19 out of 19 found this review helpful
This is the usual text for introductory Topology at UCLA, where I took the course. The authors (who teach at UCLA) have "if you haven't chewed through every syllable you are not learning" mentality. In short, the book is terse and demands a lot from the reader. Looking back, this was great preparation for graduate school and is probably the best philosophy for the serious undergrad. The book contains all of the information one needs for an introductory course, but absolutely no more. Not a single character is wasted on "extraneous" explanation. Be ready for battle when opening this one, but it's worth it.
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