This one-of-a-kind book presents many of the mathematical concepts,
structures, and techniques used in the study of rays, waves, and
scattering. Panoramic in scope, it includes discussions of how ocean
waves are refracted around islands and underwater ridges, how seismic
waves are refracted in the earth's interior, how atmospheric waves are
scattered by mountains and ridges, how the scattering of light waves
produces the blue sky, and meteorological phenomena such as rainbows and
coronas.
Rays, Waves, and Scattering is a valuable resource for practitioners,
graduate students, and advanced undergraduates in applied mathematics,
theoretical physics, and engineering. Bridging the gap between advanced
treatments of the subject written for specialists and less mathematical
books aimed at beginners, this unique mathematical compendium features
problems and exercises throughout that are geared to various levels of
sophistication, covering everything from Ptolemy's theorem to Airy
integrals (as well as more technical material), and several informative
appendixes.
- Provides a panoramic look at wave motion in many different contexts
- Features problems and exercises throughout
- Includes numerous appendixes, some on topics not often covered
- An ideal reference book for practitioners
- Can also serve as a supplemental text in classical applied
mathematics, particularly wave theory and mathematical methods in
physics and engineering
- Accessible to anyone with a strong background in ordinary differential
equations, partial differential equations, and functions of a complex
variable