Continuum mechanics is widely taught to graduate students in applied
mathematics, physics, and engineering, providing the basis for further
study in fluid and solid mechanics. Presentations of the subject,
however, vary greatly in their level of formalism, being either
engineering and example oriented or mathematically over-sophisticated.
Temam and Miranville provide a rigorous presentation of the underlying
mathematics and physics of the problem, avoiding unnecessary use of
function spaces. The authors then build on this base to present core
topics within the general themes of fluid and solid mechanics. The brisk
style allows the text to cover a wide range of topics, including:
viscous flow, magnetohydrodynamics, atmospheric flows, shock equations,
turbulence, nonlinear solid mechanics, solitons, and the nonlinear
Schrödinger equation. This original text should be a unique resource for
those studying continuum mechanics at the advanced undergraduate and
beginning graduate level, whether in engineering, mathematics, physics,
or the applied sciences.