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Differential Topology


Differential Topology  
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Binding: Hardcover
Dewey Decimal Number: 514.7
EAN: 9780132126052
ISBN: 0132126052
Label: Prentice Hall
Manufacturer: Prentice Hall
Number Of Items: 1
Number Of Pages: 222
Publication Date: August 24, 1974
Publisher: Prentice Hall
Studio: Prentice Hall


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Customer Reviews
Average Rating:  out of 5 stars

Rating:  out of 5 stars - As a reference
This text is really great, once you know the material. It's a bit hard to learn from, but it has so much knowledge in it for people to look up. It requires a fairly sophisticated background, and I started using it after going through the first half of Hatcher, but found it friendly after getting the basics of each section down. It is one of those books that is hard to get through on the first run through, but amazing to keep and use later. It does a good job leading someone to how the Poincare ... Read More



Rating:  out of 5 stars - A casual introduction
We're using this text right now for my differential topology class. Over all, I find it rather hard to learn from... The definitions at times are sloppy and the over all feel from the book is simply too casual to use as a text. If it were cheaper, I think it'd be a great way to acquaint oneself with the subject. It's just not "text book" material. I've found "Introduction to Smooth Manifolds" by John Lee to be far more useful.



Rating:  out of 5 stars - A wonderful introduction to differential topology
First, I must comment about the reviewer below (who is obviously a greater mathematician than I) - I wouldn't recommend Bredon's book to anyone who wants to study differential topology. Man, I fought through a year of algebraic topology with that book, and I'm not sure I got a darn thing out of it! Being of a more analytic, geometric mindset, however, Guillemin and Pollack's book was right up my alley.
First, the authors make the wonderful assumption in the beginning that all manifolds live ... Read More



Rating:  out of 5 stars - Lightweight and overpriced
I had to study this for my degree. It was one of those books that one person bought and was passed around mainly due to it's outrageous cost. It has a lack of rigour that is not made up by being more intuitive or giving the reader insight into why differential topology is such a great subject.
Transversality is rightly given prominence, but you don't really walk away with a good feel for it's importance or power. Degrees, linking numbers etc I got for 10 GBP with Milnor's Topology from a Differential ... Read More



Rating:  out of 5 stars - A good start....
Differential topology has influenced many areas of mathematics, and also has many applications in physics, engineering, comptuer graphics, network engineering, and economics. The authors, well-known contributors to the field, have written a nice introduction in this book, which is suitable for readers having a background in linear algebra and advanced calculus.
The authors begin the book with a general overview of manifolds and smooth maps between them. The local behavior of smooth maps is studied first, ... Read More


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