Introduction to Topology: Second Edition (Dover Books on Mathematics) [Paperback]

Theodore W. Gamelin (Author), Robert Everist Greene (Author), Mathematics (Author)

Book Description

Publication Date: February 16, 1999 | ISBN-10: 0486406806 | ISBN-13: 978-0486406800 | Edition: 2

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.

Product Details

• Paperback: 256 pages
• Publisher: Dover Publications; 2 edition (February 16, 1999)
• Language: English
• ISBN-10: 0486406806
• ISBN-13: 978-0486406800
• Product Dimensions: 9.2 x 6.2 x 0.5 inches
• Shipping Weight: 5.6 ounces (View shipping rates and policies)
• Average Customer Review: 4.3 out of 5 stars  See all reviews (9 customer reviews)
• Amazon Best Sellers Rank: #47,901 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

31 of 31 people found the following review helpful:

5.0 out of 5 stars exceptionally well organized, June 17, 2001

By 

Ken Braithwaite (inkster, MI USA) - See all my reviews
(REAL NAME)   

This review is from: Introduction to Topology: Second Edition (Dover Books on Mathematics) (Paperback)

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.

30 of 30 people found the following review helpful:

4.0 out of 5 stars Good grad school prep., May 24, 2001

By 

Brian Dolan (reseda, CA United States) - See all my reviews

This review is from: Introduction to Topology: Second Edition (Dover Books on Mathematics) (Paperback)

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.

26 of 26 people found the following review helpful:

5.0 out of 5 stars excellent introduction to topology, April 10, 2003

By 

TEJUS SAWJIANI (Chennai, India) - See all my reviews

This review is from: Introduction to Topology: Second Edition (Dover Books on Mathematics) (Paperback)

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.