Modern differential geometry of curves and surfaces with Mathematica /
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton :
CRC Press,
c1998.
|
| Edition: | 2nd ed. |
| Subjects: | |
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Table of Contents:
- 1.
- Curves in the plane
- 2.
- Studying curves in the plane with Mathematica
- 3.
- Famous plane curves
- 4.
- Alternate methods for plotting plane curves
- 5.
- New curves from old
- 6.
- Determining a plane curve from its curvature
- 7.
- Global properties of plane curves
- 8.
- Curves in space
- 9.
- Tubes and knots
- 10.
- Construction of space curves
- 11.
- Calculus on Euclidean space
- 12.
- Surfaces in Euclidean space
- 13.
- Examples of surfaces
- 14.
- Nonorientable surfaces
- 15.
- Metrics on surfaces
- 16.
- Surfaces in 3-dimensional space
- 17.
- Surfaces in 3-dimensional space via Mathematica
- 18.
- Asymptotic curves on surfaces
- 19.
- Ruled surfaces
- 20.
- Surfaces of revolution
- 21.
- Surfaces of constant Gaussian curvature
- 2.
- Intrinsic surface geometry
- 23.
- Differentiable manifolds
- 24.
- Riemannian manifolds
- 25.
- Abstract surfaces
- 26.
- Geodesics on surfaces
- 27. The
- Gauss-Bonnet theorem
- 29.
- Principal curves and umbilic points
- 29.
- Triply orthogonal systems of surfaces
- 30.
- Minimal surfaces
- 31.
- Minimal surfaces and complex variables
- 32.
- Minimal surfaces via the Weierstrass representation
- 33.
- Minimal surfaces via Björling's formula
- 34.
- Construction of surfaces
- 35.
- Canal surfaces and cyclides of dupin
- 36.
- Inversions of curves and surfaces.