Titlebook: An Introduction to Tensors and Group Theory for Physicists; Nadir Jeevanjee Textbook 20111st edition Springer Science+Business Media, LCC

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Daniela Schwarzer,Henrik Uterwedder many of the questions students often have when seeing tensors for the first time. In particular, we discuss the meaning of components and the origin of the tensor transformation law (which is taken as the definition of a tensor in the old-fashioned formulation), as well as the difference between a

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Daniela Schwarzer,Henrik Uterwedde dual spaces and non-degenerate Hermitian forms) which are also essential but usually are omitted in the standard ‘linear algebra for scientists and engineers’ course. This chapter also takes a more abstract point of view than that usually taken in lower-division linear algebra courses, in that it b

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Daniela Schwarzer,Henrik Uterwedde. vectors under rotations, or antisymmetric tensors under boosts). We begin by defining a representation of a group as a vector space on which that group acts, and we give many examples, using the vector spaces we met in Chap.?. and the groups we met in Chap.?.. We then discuss how to take tensor pr

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A Quick Introduction to Tensorsr many of the questions students often have when seeing tensors for the first time. In particular, we discuss the meaning of components and the origin of the tensor transformation law (which is taken as the definition of a tensor in the old-fashioned formulation), as well as the difference between a

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Vector Spaces dual spaces and non-degenerate Hermitian forms) which are also essential but usually are omitted in the standard ‘linear algebra for scientists and engineers’ course. This chapter also takes a more abstract point of view than that usually taken in lower-division linear algebra courses, in that it b