This internationally famous work on the dynamics of liquids and gases enjoys a unique position in technical literature. Most authors refer their readers to it rather than to other works for fundamental theorems, equations, and detailed methods of solution. It has never been superseded as an encyclopedic coverage of all aspects of classical hydrodynamics. This is an unabridged reproduction of the sixth enlarged and revised edition. No change has been made in the general plan and arrangement of the book, which decades of specialists and beginners have found most satisfactory. The clarity and lucidity of the original volume are still unimpaired. Individual chapters cover the equations of motion, integration of the equations in special cases, irrotational motion, motion of a liquid in two dimensions, irrotational motion of a liquid; problems in three dimensions, on the motion of solids through a liquid; dynamical theory, vortex motion, tidal waves, surface waves, waves of expansion, viscosity, and rotating masses of liquids. "The leading treatise on classical hydrodynamics." —Mathematical Gazette. "Difficult to find a writer on any mathematical topic with [equal] clearness and lucidity." —Philosophical Magazine.