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A Guide to Topology

Steven G. Krantz
Publisher: 
Mathematical Association of America
Publication Date: 
2009
Number of Pages: 
106
Format: 
Hardcover
Series: 
Dolciani Mathematical Expositions 40
Price: 
49.95
ISBN: 
9780883853467
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

[Reviewed by
John Curran
, on
09/8/2009
]

A Guide to Topology is part of the MAA Guides series. As such, this book is intended to provide an overview of topology for graduate students preparing for qualifying exams. It emphasizes point-set topology, with an eye towards applications in analysis. The book is succinct, but provides many examples that clarify the definitions and the differences among topological spaces. There are relatively few proofs. Those provided illustrate how the definitions are typically used.

The book is ideal for its target audience, covering many concepts in a mere 85 pages. The author suggests the book could also serve as a reference work. It is indeed a pleasant book to read. However, most mathematicians will be familiar with some of the material, and can find satisfactory information about what they do not on Wikipedia.


John Curran is Assistant Professor of Mathematics, Eastern Michigan University, where he coordinates the actuarial science program.

The table of contents is not available.

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