This book presents the current theory of atmospheric icing on simple structures. The author presents a full account of the mathematical formulation of such real-world problems and presents many new methods for their solution. The text pays special attention to the analytical and numerical solution of linear and nonlinear evolution equations which describe the growth process. The book bridges the gap between the various researchers: mathematicians and numerical analysts, electrical, civil, and aeronautical engineers, meteorologists. Illustrations of the mathematical models are drawn from a variety of these fields and, in particular, the role of meteorological variables is highlighted.