Differential Geometry and Its Applications
Differential Geometry and Its Applications studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard university curriculum to a type of mathematics that is a unified whole. It mixes geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences. That mix of ideas offers students the opportunity to visualize concepts through the use of computer algebra systems such as Maple. Differential Geometry and Its Applications emphasizes that this visualization goes hand in hand with understanding the mathematics behind the computer construction. The book is rich in results and exercises that form a continuous spectrum, from those that depend on calculation to proofs that are quite abstract. This description may be from another edition of this product.
Format:Hardcover
Language:English
ISBN:0133407381
ISBN13:9780133407389
Release Date:October 1996
Publisher:Prentice Hall
Length:387 Pages
Weight:1.38 lbs.
Dimensions:0.8" x 6.3" x 9.3"
Customer Reviews
2 customer ratings | 2 reviews
Rated 5 starsclearest undergrad differential geometry text around
By Thriftbooks.com User,
This is a very well-written text on modern differential geometry for undergraduates. The content of the book is similar to O'Neill's "Elementary Differential Geometry" (e.g. covariant derivatives, shape operators), but it's easier to read. There are many undergrad texts around -- O'Neill, do Carmo, Pressley -- but this one is the most lucidly written one hands-down. Afer going through Oprea, one might like to tackle O'Neill's...
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Rated 4 starsNice introduction and applications of differential geometry
By Thriftbooks.com User,
I found this book to be a fine introduction to this subject. I was particularly pleased with the practical examples outlined in the book. Even though I am not extremely proficient with Maple, I found the exercises using this software provided important illustrations of applications.
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