Modern differential geometry of curves and surfaces with Mathematica /

Guardado en:
Autor Principal: Gray, Alfred, 1939-1998.
Formato: Libro
Idioma:English
Publicado: Boca Raton : CRC Press, c1998.
Edición:2nd ed.
Materias:
Acceso en línea:Software asociado
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245 1 0 |a Modern differential geometry of curves and surfaces with Mathematica /  |c Alfred Gray. 
250 |a 2nd ed. 
260 |a Boca Raton :  |b CRC Press,  |c c1998. 
300 |a xxiv, 1053 p. :  |b il. ;  |c 26 cm. 
500 |a Compatible con Mathematica 3.0. 
504 |a Incluye referencias bibliográficas (p. 1005-1020) e índices. 
505 0 |a 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. 
510 4 |a MR,  |c 2000i:53001 
020 |a 0849371643 
100 1 |a Gray, Alfred,  |d 1939-1998. 
084 |a 53-01 (53-04 53A04 53A05)  |2 msc2000 
630 0 0 |a Mathematica (Computer file) 
010 |a  97017161  
856 4 2 |u http://math.cl.uh.edu/%7Egray/  |y Software asociado 
856 4 1 |u http://books.google.com/books?isbn=0849371643  |y Google Book Search 
859 |h 53  |i G778  |p A-7891  |b BIB. MATEMATICA 
859 |h 53  |i G778  |p A-7977  |t Ej. 2  |b BIB. MATEMATICA 
859 |h 53  |i G778  |p A-8620  |t Ej. 3  |b BIB. MATEMATICA