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Titlebook: A Differential Approach to Geometry; Geometric Trilogy II Francis Borceux Book 2014 Springer International Publishing Switzerland 2014 53A0

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978-3-319-37747-6Springer International Publishing Switzerland 2014
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Ernst-August Nuppenau,Ousmane Badianeopment of differential calculus allows next the study of very general curves. We describe the first historical attempts for handling questions like the tangent to a curve, its length or its curvature. We pay a special attention to some curves, like the cycloid, which have played an important role in
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The Post-Harvest System in Indonesia, vector fields, the covariant derivative, and so on: an intuition based on the consideration of surfaces in the three dimensional real space. We switch next to the study of geodesics, geodesic curvature and systems of geodesic coordinates. As an example of a Riemann surface, we develop the study of
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Agricultural Markets from Theory to PracticeCurves in the three dimensional real space are studied from the points of view of their equations, their tangent, their curvature and their torsion. We establish the Frenet formulas and we investigate the more involved question of the intrinsic equations of a skew curve.
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