Modern differential geometry of curves and surfaces with Mathematica /
Guardado en:
| Autor Principal: | |
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| Formato: | Libro |
| Idioma: | English |
| Publicado: |
Boca Raton :
CRC Press,
c1998.
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| Edición: | 2nd ed. |
| Materias: | |
| Acceso en línea: | Software asociado Google Book Search |
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Tabla de Contenidos:
- 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.