The study of fluid dynamics is a central theme in modern applied
mathematics. It is used to model a vast range of physical phenomena and
plays a vital role in science and engineering. This textbook provides a
clear introduction to both the theory and application of fluid dynamics
that is suitable for all undergraduates coming to the subject for the
first time. Students need only a basic knowledge of vector calculus,
complex analysis, and simple methods of solving differential equations.
Numerous exercises (with hints and answers) illustrate the main ideas
and serve to organize the reader's understanding. The wide range of
topics discussed include inviscid and viscous flows, waves in fluids,
boundary layer flow, and instability in flows, along with historical
information and many references to important experiments. This is a
comprehensive and absorbing introduction to the mathematical study of
fluid behavior.