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Modern Differential Geometry of Curves and Surfaces with Mathematica, Second Edition
Author

Alfred Gray
Book information

Publisher: CRC Press
Copyright year: 1997
ISBN: 0849371643
Medium: Hardcover
Pages: 1056
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Contents

Curves in the Plane | Studying Curves in the Plane with Mathematica | Famous Plane Curves | Alternate Methods for Plotting Plane Curves | New Curves from Old | Determining a Plane Curve from Its Curvature | Global Properties of Plane Curves | Curves in Space | Tubes and Knots | Construction of Space Curves | Calculus on Euclidean Space | Surfaces in Euclidean Space | Examples of Surfaces | Nonorientable Surfaces | Metrics on Surfaces | Surfaces in 3-Dimensional Space | Surfaces in 3-Dimensional Space via Mathematica | Asymptotic Curves on Surfaces | Ruled Surfaces | Surfaces of Revolution | Surfaces of Constant Gaussian Curvature | Intrinsic Surface Geometry | Differentiable Manifolds | Riemannian Manifolds | Abstract Surfaces | Geodesics on Surfaces | The Gauss-Bonnet Theorem | Principal Curves and Umbilic Points | Triply Orthogonal Systems of Surfaces | Minimal Surfaces I | Minimal Surfaces II | Minimal Surfaces III | Minimal Surfaces IV | Construction of Surfaces | Canal Surfaces and Cyclides of Dupin | Inversions of Curves and Surfaces | Appendices
Description

Combines a traditional approach with the symbolic capabilities of Mathematica to explain the classical theory of curves and surfaces. Explains how to define and compute standard geometric functions and explores how to apply techniques from analysis. Contains over 300 exercises and examples to demonstrate concepts. Compatible with Mathematica 3.0.
Subjects

*Mathematics > Calculus and Analysis > Differential Geometry
*Mathematics > Geometry > Plane Geometry
*Mathematics > Geometry > Surfaces
Related items

*Geometria differencial de curvas y superficies   [in Books]
*Lezioni di Geometria Differenziale su Curve e Superfici, Volume 1   [in Books]
*Lezioni di Geometria Differenziale su Curve e Superfici, Volume 2   [in Books]
*Modern Differential Geometry of Curves and Surfaces   [in Books]
*Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition   [in Books]
Downloads

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Gray.zip (134.2 KB) - Alfred Gray's packages