Results 281 to 290 of about 81,221 (296)
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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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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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Geometry of differential equations
Journal of Soviet Mathematics, 1975V. I. Bliznikas, Z. Yu. Lupeikis
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The Mathematical Intelligencer, 1980