Titlebook: Classical Mechanics with Mathematica®; Antonio Romano,Addolorata Marasco Textbook 2018Latest edition Springer International Publishing AG,

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Vector Space and Linear MapsIn this chapter, the abstract definition of vector space, dimension of a vector space, bases, and contravariant components of a vector and their transformation properties are discussed. After giving some interesting examples of vector spaces, linear maps between vector spaces and their fundamental aspects are presented.

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Tensor AlgebraThis chapter contains an introduction to tensor algebra. After defining covectors and dual bases, the space of covariant 2-tensor is introduced. Then, the results derived for this space are extended to the general space of the (., .)-tensors. Finally, the operations of contraction and contracted multiplication are introduced.

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Reputationsbildung und Auslandskapital dimension of this space is determined together with the bases of this space and the transformation properties of strict components. Finally, the exterior algebra is formulated and oriented vector spaces are introduced.

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Reputationsbildung im Bankensektor,t and the antiscalar product. A vector space equipped with the first operation is called a Euclidean vector space, whereas when it is equipped with the second operation, it is said to be a symplectic vector space. These operations allow us to introduce into . many other geometric and algebraic conce

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Anabel Ternès,Christopher Runge of curves and surfaces, is presented here from an intrinsic point of view, that is, without referring to an ambient space in which it is embedded. Differentiable functions, tangent vectors, tensor fields, and .-forms are defined. Further, differential and codifferential of a map between manifolds a

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