Continuum physics is concemed with the predictions of deformations,
stress, temperature, and electromagnetic fields in deformable and
fluent bodies. To that extent, mathematical formulation requires
the establishment of basic balance laws and constitutive equations.
Balance laws are the union of those of continuum thermomechanics
and MaxweIl's equations, as coIlected in Chapter 1. To dose the
theory it is necessary to formulate equations for the material
response to extemal stimuli. These equations bring into play the
material properties of the media under consideration. In their
simplest forms these are the constitutive laws, such as Hooke's law
of dassical elasticity, Stokes' law of viscosity of viscous fluids,
Fourier's law of heat conduction, Ohm's law of electric conduction,
etc. For large deformations and fields in material media, the
constitutive laws become very complicated, in vol ving all physical
effects and material symmetry. The present work is concemed with
the material symmetry regulations arising from the crystaIlographic
symmetry of magnetic crystals. While there exist some works on the
thirty-two conventional crystal dasses, exduding the linear case,
there exists no study on the nonlinear constitutive equations for
the ninty magnetic crystal dasses. Yet the interaction of strong
electromagnetic fields with deformable solids cannot be explained
without the material sym metry regulations relevant to magnetic
crystals. In this monograph, we present a thorough discussion of
magnetic symmetry by means of group theory. We consider onlyone
scalar function which depends on one symmetric second-order tensor
(e. g."
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