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Titlebook: Einführung in die Mathematische Optimierung; Rainer E. Burkard,Uwe T. Zimmermann Textbook 2012 Springer-Verlag Berlin Heidelberg 2012 Ange

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IntroductionFor a first rough introduction into tensors, we give a preliminary definition of tensors and the tensor product. The formal definition in the sense of multilinear algebra will be given in Chapter 3. In fact, below we consider three types of tensors which are of particular interest in later applications.
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Compilation of Tensor Formulas, the tensor calculus to the formulation of problems in mechanics requires the skillful use of many formulas. The following list of equations derived in the text will be useful as a ready reference. However, none of the formulas should be applied blindly; the derivation and possible limitation may be found at the proper place.
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Geometry of Curved Surfaces, most spectacular applications of tensor calculus in the field of continuum mechanics is the general theory of shells. To study it, we shall need some knowledge of the theory of curved surfaces and we shall now embark upon this mathematical subject, keeping in mind the application we later want to make of it.
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