Gray, Alfred, 1939-1998.
Modern differential geometry of curves and surfaces with Mathematica / Alfred Gray.
— 2nd ed. — Boca Raton : CRC Press, c1998. xxiv, 1053 p. : il. ; 26 cm.
Compatible con Mathematica 3.0.
Incluye referencias bibliográficas (p. 1005-1020) e índices.
Contenido: 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 surves — 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 — Minimal surfaces and complex variables — Minimal surfaces via the Weierstrass representation — Minimal surfaces via Björling's formula — Construction of surfaces — Canal surfaces and cyclides of Dupin — Inversions of curves and surfaces — Appendices.
ISBN 0849371643
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