Elsa Abbena's Books

Modern Differential Geometry of Curves and Surfaces with Mathematica

By: Elsa Abbena,Simon Salamon,Alfred Gray

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Modern Differential Geometry of Curves and Surfaces with Mathematica

By: Elsa Abbena,Simon Salamon,Alfred Gray

Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s 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, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica 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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Page Count

1024

Publisher

CRC Press

Published Date

ISBN 10

1351992201

ISBN 13

9781351992206

Modern Differential Geometry of Curves and Surfaces with Mathematica

By: Elsa Abbena,Simon Salamon,Alfred Gray

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Modern Differential Geometry of Curves and Surfaces with Mathematica

By: Elsa Abbena,Simon Salamon,Alfred Gray

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Page Count

1016

Publisher

CRC Press

Published Date

ISBN 10

142001031X

ISBN 13

9781420010312

Modern Differential Geometry of Curves and Surfaces with Mathematica, Fourth Edition

By: Elsa Abbena,Alfred Gray,Simon Salamon

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Modern Differential Geometry of Curves and Surfaces with Mathematica, Fourth Edition

By: Elsa Abbena,Alfred Gray,Simon Salamon

Reflecting the latest version of Mathematica®, this text provides an introduction to differential geometry by covering curves and surfaces in detail. Popular with students and professionals in mathematics, physics, and computer science, the book shows readers how to reproduce a large number of illustrations using Mathematica. This edition covers the latest mathematical research and moves the Mathematica notebooks to the authors’ website, making the book even easier to use.

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Age

Page Count

850

Publisher

Chapman and Hall/CRC

Published Date

ISBN 10

1466599111

ISBN 13

9781466599116

Book's by Elsa Abbena

Modern Differential Geometry of Curves and Surfaces with Mathematica

Modern Differential Geometry of Curves and Surfaces with Mathematica

Modern Differential Geometry of Curves and Surfaces with Mathematica

Modern Differential Geometry of Curves and Surfaces with Mathematica

Modern Differential Geometry of Curves and Surfaces with Mathematica, Fourth Edition

Modern Differential Geometry of Curves and Surfaces with Mathematica, Fourth Edition

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