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Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition...
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by Alfred Gray, Elsa Abbena, and Simon Salamon
Sales Rank: 325810
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Discount: 11 %
List Price: $94.95
$75.96
At Amazon
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Hardcover: 1016 pages
Publisher: Chapman & Hall/CRC; 3 edition June 21, 2006
Language: English
ISBN-10: 1584884487
ISBN-13: 978-1584884484
Product Dimensions:
10.2 x 7.2 x 2.4 inches
Shipping Weight: 4.3 pounds
Product Review
This is a nicely readable textbook on differential geometry. It offers an outstanding, comprehensive presentation of both theoretical and computational aspects There are hundreds of illustrations that help the reader visualize the concepts. It is a nicely written book, strongly recommended to all with an interest in differential geometry, its computational aspects and related fields.
In EMS Newsletter, June 2007
Book Description
Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Grays famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Grays death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions.
The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshis formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, butMathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted.
Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space.
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Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition...
List Price: $94.95
Discount: 11 %
Available from Amazon
Price: $75.96
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