Download PDF by Siegfried Hess: Tensors for Physics (Undergraduate Lecture Notes in Physics)

By Siegfried Hess

This booklet provides the technological know-how of tensors in a didactic approach. a few of the varieties and ranks of tensors and the actual foundation is gifted. Cartesian Tensors are wanted for the outline of directional phenomena in lots of branches of physics and for the characterization the anisotropy of fabric houses. the 1st sections of the ebook supply an advent to the vector and tensor algebra and research, with functions to physics, at undergraduate point. moment rank tensors, particularly their symmetries, are mentioned intimately. Differentiation and integration of fields, together with generalizations of the Stokes legislations and the Gauss theorem, are taken care of. The physics proper for the purposes in mechanics, quantum mechanics, electrodynamics and hydrodynamics is gifted. the second one a part of the booklet is dedicated to tensors of any rank, at graduate level. Special subject matters are irreducible, i.e. symmetric traceless tensors, isotropic tensors, multipole strength tensors, spin tensors, integration and spin-trace formulation, coupling of irreducible tensors, rotation of tensors. Constitutive legislation for optical, elastic and viscous homes of anisotropic media are dealt with. The anisotropic media comprise crystals, liquid crystals and isotropic fluids, rendered anisotropic by exterior orienting fields. The dynamics of tensors bargains with phenomena of present research. In the final section, the 3D Maxwell equations are reformulated of their 4D model, in accord with precise relativity.

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Tensors for Physics (Undergraduate Lecture Notes in Physics) - download pdf or read online

This publication offers the technological know-how of tensors in a didactic approach. a few of the forms and ranks of tensors and the actual foundation is gifted. Cartesian Tensors are wanted for the outline of directional phenomena in lots of branches of physics and for the characterization the anisotropy of fabric houses.

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Tensors for Physics (Undergraduate Lecture Notes in Physics) by Siegfried Hess


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