Water Waves – Mathematical Theory with Applications

James J Stoker was an American applied mathematician and engineer. He was director of the Courant Institute of Mathematical Sciences and is considered one of the founders of the institute, Courant and Friedrichs being the others. Stoker is known for his work in differential geometry and theory of water waves.

Basic Hydrodynamics. The Two Basic Approximate Theories. WAVES SIMPLE HARMONIC IN THE TIME. Simple Harmonic Oscillations in Water of Constant Depth. Waves Maintained by Simple Harmonic Surface Pressure in Water of Uniform Depth: Forced Oscillations. Waves on Sloping Beaches and Past Obstacles. MOTIONS STARTING FROM REST: TRANSIENTS. Unsteady Motions. WAVES ON A RUNNING STREAM: SHIP WAVES. Two-Dimensional Waves on a Running Stream in Water of Uniform Depth. Waves Caused by a Moving Pressure Point: Kelvin's Theory of the Wave Pattern Created by a Moving Ship. The Motion of a Ship, as a Floating Rigid Body, in a Seaway. Long Waves in Shallow Water. Mathematical Hydraulics. Problems in Which Free Surface Conditions Are Satisfied Exactly: The Breaking of a Dam; Levi-Civita's Theory. Bibliography. Indexes.