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Titlebook: Analysis for Computer Scientists; Foundations, Methods Michael Oberguggenberger,Alexander Ostermann Textbook 2018Latest edition Springer Na

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Definite Integrals,of the form . and taking limits. Such sums appear in many applications including the calculation of areas, surface areas and volumes as well as the calculation of lengths of curves. This chapter employs the notion of Riemann integrals as the basic concept of definite integration. Riemann’s approach
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Curves,tersections or even curves of fractal dimension. The aim of this chapter is to introduce the concept of parametrised curves and to study, in particular, the case of differentiable curves. For the visualisation of the trajectory of a curve, the notions of velocity vector, moving frame and curvature a
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Scalar-Valued Functions of Two Variables,angent planes, maxima and minima, as well as linear and quadratic approximations. The restriction to two variables has been made for simplicity of presentation. All ideas in this and the next chapter can easily be extended (although with slightly more notational effort) to the case of . variables. W
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Linear Regression, importance of influencing factors, and prediction, in all areas of human, natural and economic sciences. Computer scientists who work closely with people from these areas will definitely come across regression models.
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