Aimed at undergraduate and postgraduate students in physics and applied mathematics, this textbook has been constructed as a set of problems followed by detailed solutions. With its assortment of "standard" problems for beginners, variations on a theme and original problems based upon new trends and theories in physics, the book aims to help students understand practical aspects of the subject. Topics are grouped under the two main headings of fluid mechanics and the electrodynamics of continuous media. They include vectors, tensors and Fourier transformations, dielectric waves in media, natural optical activity, Cherenkov radiation, non-linear interaction of waves, dynamics of ideal fluids, convection, turbulence and acoustic and shock waves, the theory of elasticity and the mechanics of liquid crystals.