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Tensors for Physics (Paperback)
Loot Price: R3,596
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Tensors for Physics (Paperback)
Series: Undergraduate Lecture Notes in Physics
Expected to ship within 10 - 15 working days
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This book presents the science of tensors in a didactic way. The
various types and ranks of tensors and the physical basis is
presented. Cartesian Tensors are needed for the description of
directional phenomena in many branches of physics and for the
characterization the anisotropy of material properties. The first
sections of the book provide an introduction to the vector and
tensor algebra and analysis, with applications to physics, at
undergraduate level. Second rank tensors, in particular their
symmetries, are discussed in detail. Differentiation and
integration of fields, including generalizations of the Stokes law
and the Gauss theorem, are treated. The physics relevant for the
applications in mechanics, quantum mechanics, electrodynamics and
hydrodynamics is presented. The second part of the book is devoted
to tensors of any rank, at graduate level. Special topics are
irreducible, i.e. symmetric traceless tensors, isotropic tensors,
multipole potential tensors, spin tensors, integration and
spin-trace formulas, coupling of irreducible tensors, rotation of
tensors. Constitutive laws for optical, elastic and viscous
properties of anisotropic media are dealt with. The anisotropic
media include crystals, liquid crystals and isotropic fluids,
rendered anisotropic by external orienting fields. The dynamics of
tensors deals with phenomena of current research. In the last
section, the 3D Maxwell equations are reformulated in their 4D
version, in accord with special relativity.
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