Results 321 to 330 of about 3,889,100 (366)
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Differential Geometry and Lie Groups
Geometry and Computing, 2020J. Gallier, J. Quaintance
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1974
Publisher Summary Differential geometry is the application of differential calculus to the study of curves and surfaces. A continuous curve corresponds to each continuous function. A smooth curve, that is, a curve without discontinuities and breaks, corresponds to each differentiable function. This chapter focuses on plane curves.
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Publisher Summary Differential geometry is the application of differential calculus to the study of curves and surfaces. A continuous curve corresponds to each continuous function. A smooth curve, that is, a curve without discontinuities and breaks, corresponds to each differentiable function. This chapter focuses on plane curves.
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Projective Differential Geometry
The American Mathematical Monthly, 1933(1933). Projective Differential Geometry. The American Mathematical Monthly: Vol. 40, No. 10P1, pp. 568-579.
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Lectures on Nonsmooth Differential Geometry
, 2020N. Gigli, Enrico Pasqualetto
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Elementary Differential Geometry
2001Curves in the plane and in space.- How much does a curve curve?.- Global properties of curves.- Surfaces in three dimensions.- Examples of surfaces.- The first fundamental form.- Curvature of surfaces.- Gaussian, mean and principal curvatures.- Geodesics.- Gauss' Theorema Egregium.- Hyperbolic geometry.- Minimal surfaces.- The Gauss-Bonnet theorem.
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Lectures on Differential Geometry
Graduate Studies in MathematicsBennett Chow, Yutze Chow
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Basics of the Differential Geometry of Surfaces
2001In this chapter we consider parametric curves, and we introduce two important invariants, curvature and torsion (in the case of a 3D curve).
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Discrete Differential-Geometry Operators for Triangulated 2-Manifolds
International Workshop on Visualization and Mathematics, 2002Mark Meyer +3 more
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