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Modern differential geometry of curves and surfaces with mathematica /

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Bibliographic Details
Main Authors:	Abbena, Elsa (Author), Gray, Alfred, 1939-1998 (Author), Salamon, Simon (Author)
Corporate Authors:	Taylor & Francis, CRC Press
Format:	eBook
Language:	English
Published:	Boca Raton, FL : CRC Press, an imprint of Chapman and Hall/CRC, [2017].
Edition:	Third edition.
Subjects:	Mathematica (Computer file) > Textbooks. Curves on surfaces > Textbooks. Geometry, Differential > Data processing > Textbooks. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

chapter 1 Curves in the Plane
chapter 2 Famous Plane Curves
chapter 3 Alternative Ways of Plotting Curves
chapter 4 New Curves from Old
chapter 5 Determining a Plane Curve from Its Curvature
chapter 6 Global Properties of Plane Curves
chapter 7 Curves in Space
chapter 8 Construction of Space Curves
chapter 9 Calculus on Euclidean Space
chapter 10 Surfaces in Euclidean Space
chapter 11 Nonorientable Surfaces
chapter 12 Metrics on Surfaces
chapter 13 Shape and Curvature
chapter 14 Ruled Surfaces
chapter 15 Surfaces of Revolution and Constant Curvature
chapter 16 A Selection of Minimal Surfaces
chapter 17 Intrinsic Surface Geometry
chapter 18 Asymptotic Curves and Geodesics on Surfaces
chapter 19 Principal Curves and Umbilic Points
chapter 20 Canal Surfaces and Cyclides of Dupin
chapter 21 The Theory of Surfaces of Constant Negative Curvature
chapter 22 Minimal Surfaces via Complex Variables
chapter 23 Rotation and Animation Using Quaternions
chapter 24 Differentiable Manifolds
chapter 25 Riemannian Manifolds
chapter 26 Abstract Surfaces and Their Geodesics
chapter 27 The Gauss Bonnet Theorem.