Modern differential geometry of curves and surfaces with Mathematica / Alfred Gray.
Editor: Boca Raton : CRC Press, c1998Edición: 2nd edDescripción: xxiv, 1053 p. : il. ; 26 cmISBN: 0849371643Tema(s): Mathematica (Computer file)Otra clasificación: 53-01 (53-04 53A04 53A05) Recursos en línea: Software asociado | Google Book SearchCurves in the planeStudying curves in the plane with MathematicaFamous plane curvesAlternate methods for plotting plane curvesNew curves from oldDetermining a plane curve from its curvatureGlobal properties of plane curvesCurves in spaceTubes and knotsConstruction of space survesCalculus on Euclidean spaceSurfaces in Euclidean spaceExamples of surfacesNonorientable surfacesMetrics on surfacesSurfaces in 3-dimensional spaceSurfaces in 3-dimensional space via MathematicaAsymptotic curves on surfacesRuled surfacesSurfaces of revolutionSurfaces of constant Gaussian curvatureIntrinsic surface geometryDifferentiable manifoldsRiemannian manifoldsAbstract surfacesGeodesics on surfacesThe Gauss-Bonnet theoremPrincipal curves and umbilic pointsTriply orthogonal systems of surfacesMinimal surfacesMinimal surfaces and complex variablesMinimal surfaces via the Weierstrass representationMinimal surfaces via Björling's formulaConstruction of surfacesCanal surfaces and cyclides of DupinInversions of curves and surfacesAppendices.
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 53 G778 (Browse shelf) | Available | A-7891 | |||
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 53 G778 (Browse shelf) | Ej. 2 | Available | A-7977 | ||
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 53 G778 (Browse shelf) | Ej. 3 | Available | A-8620 |
Compatible con Mathematica 3.0.
Incluye referencias bibliográficas (p. 1005-1020) e índices.
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.
MR, 2000i:53001
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