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

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Klaus Schirra,Roger Schlag-Sch?ffelIn geometry objects are often defined by explicit rules and transformations which can easily be translated into mathematical formulas. For example, a circle is the set of all points which are at a fixed distance . from a centre (.,?.). .or

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Real-Valued Functions,eir investigation are at the core of analysis. They help to model dependencies of variable quantities, from simple planar graphs, curves and surfaces in space to solutions of differential equations or the algorithmic construction of fractals. One the one hand, this chapter serves to introduce the ba

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Sequences and Series,inuity, differentiability, series expansions of functions, integration, etc. The transition from the . to the . constitutes the modelling strength of mathematical analysis. Discrete models of physical, technical or economic processes can often be better and easily understood, provided that the numbe

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Limits and Continuity of Functions, investigate the behaviour of graphs of functions in the neighbourhood of chosen points. Moreover, limits of functions form the basis of one of the central themes in mathematical analysis, namely differentiation (Chap.?.). In order to derive certain differentiation formulas some elementary limits ar