Leseprobe
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Rays, Waves, and Scattering
John Adam
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
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
Kundenbewertungen
Wave equation, Standing wave, Acoustic wave, Total internal reflection, Resonance, Scattering, Polarization (waves), Doppler effect, Phase (waves), Penetration depth, Mie scattering, Wave propagation, Evanescent field, Drop (liquid), Transverse wave, Continuous spectrum, Rayleigh scattering, Diffraction, Bessel function, Phase velocity, Shock wave, Amplitude, Dispersion relation, Dimension, Quantum mechanics, Angular frequency, Capillary wave, Plane wave, Wave packet, Wave vector, Refractive index, Multipole expansion, Radiant energy, Airy function, Waveguide, Lee wave, Tsunami, Wavefront, Wavelet, Angle of incidence (optics), Inviscid flow, Wave function, Ray (optics), Rossby wave, Wave power, Wavelength, Equatorial waves, Airy disk, Geometrical optics, Approximation, Hyperbolic function, Wave, Electromagnetic radiation, Surface wave, Breaking wave, Gravity wave, Momentum transfer, S-wave, Refraction, Scattering theory, Wave–particle duality, Photon, Leaky mode, Atmospheric wave, Scattering amplitude, Wavenumber, Rayleigh wave, Angular momentum, Equation, Rossby-gravity waves