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6 of 6 people found the following review helpful
4.0 out of 5 stars Very readable.
I liked the presentation of the material in the book. In fact, after 4 others, I found this one the easiest to understand. There are java applets on the web-site but not enough illustrations in the book. The applets are dynamic animations and can show things that would be difficult in fixed illustrations. In the book there are many (sometimes 2 or 3 per page.) small...
Published on July 17, 2011 by J. Wrenholt

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4 of 4 people found the following review helpful
3.0 out of 5 stars fair
After finishing the course in differential geometry with this book, it is ok.
First of all, I know this is a first edition book so there are errors. But some of the errors are pretty big. Especially when you get to the second fundamental form, there is a huge error that makes the proofs very confusing, which is strange since the author should have picked up on it...
Published on May 3, 2012 by Danny


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6 of 6 people found the following review helpful
4.0 out of 5 stars Very readable., July 17, 2011
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J. Wrenholt (Lincoln, NE United States) - See all my reviews
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This review is from: Differential Geometry of Curves and Surfaces (Paperback)
I liked the presentation of the material in the book. In fact, after 4 others, I found this one the easiest to understand. There are java applets on the web-site but not enough illustrations in the book. The applets are dynamic animations and can show things that would be difficult in fixed illustrations. In the book there are many (sometimes 2 or 3 per page.) small computer icons to tell you to go to the web-site, but I would have liked a screen-shot or illustration in the book so you can read it without sitting at the computer. My other disappointment is there are no answers or solutions to the any exercises.
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4 of 4 people found the following review helpful
3.0 out of 5 stars fair, May 3, 2012
Verified Purchase(What's this?)
This review is from: Differential Geometry of Curves and Surfaces (Paperback)
After finishing the course in differential geometry with this book, it is ok.
First of all, I know this is a first edition book so there are errors. But some of the errors are pretty big. Especially when you get to the second fundamental form, there is a huge error that makes the proofs very confusing, which is strange since the author should have picked up on it. But oh well.
The exercises are fun and sometimes challenging. the explanation are fair and sometimes very vague. They could have been better but the author expects you to fill in alot of the detail. and sometimes pretty much every everything. and many proofs are omitted.

The notation.
The notation can be difficult to follow but after a while it becomes understandable but still annoying. They should work on their notation for the next edition.
For self study.
It may be difficult for self study because a lot of detail is left out. you would be learning differential geometry with a lot of black boxes, lol. But I mean if you have a strong topology background, multivariable calculus, linear algebra, and some differential geometry you should be fine. But doing the exercises may be quite frustrating unless you know for sure you did them right since there is no answers to the quesetions. Which by all means not such a bad thing. i mean it is very fun to just think about the questions and take a pick at them. I mean if you doubt yourself you can always see a professor at your university to assist you.

the applets
not all that impressive but it helps you see what you been learning.

This is an ok book. It is not the best. If you want a good differential geometry book for self study you should go look for another one. If you want something to do, buy this used for the exercises. It is very fun! well they are very fun to do! They vary from computational, to proofs. Well just those two. thats all there is.
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Differential Geometry of Curves and Surfaces
Differential Geometry of Curves and Surfaces by Thomas Banchoff (Paperback - March 1, 2010)
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