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Topology from the Differentiable Viewpoint Rev ed. Edition
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Top Customer Reviews
While this book is highly regarded among mathematicians, it is not without its faults, namely,
- it fails to cover many topics of importance, such as transversality (only mentioned in an exercise), embeddings, differential forms, integration, Morse theory, and the intersection form;
- it only cites some theorems without proving them, or it leaves the proofs to the reader;
- it offers proofs of many theorems that are really only sketches without all the details;
- manifolds are only defined as subsets of Euclidean spaces;
- there is only 1 collection of 17 problems at the end of the book, which are used to introduce important concepts; and
- it probably moves too quickly for true beginners, packing a lot into only 51 pages.
So don't buy this as your only, or even first, book on differential topology. Oddly, many of the faults that I listed above are simultaneously strengths, in that it can be read very quickly, with relatively little effort and a high rate of retention.Read more ›
This book forms part of the toolkit you will need to fully explore the more modern work in dynamics, complexity, and applications (e.g., economics, physics).
The clarity of the exposition also forms an ideal example of how to communicate mathematics powerfully and simply.
Most Recent Customer Reviews
My boyfriend bought this book for his favorite class in college. The condition of the book is great, (Of course, it's brand new)... Read morePublished on July 20, 2013 by gtxy1yqj
I consider myself to be a pretty lousy graduate student and I still found this book to be very readable. Read morePublished on February 24, 2009 by Salute Your Shorts
Despite the lovely subject matter covered in this book, it more importanty gives one a taste of Mathematics as an intellectual discipline. Read morePublished on February 11, 2005 by Marc Gordon