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Asymptotic Expansions of Integrals
Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Watson's lemma, LaPlace's method, stationary phase, and steepest descents. Additional subjects include the Mellin transform method and less elementary aspects of the method of steepest descents. 1975 edition.
Mathematical Methods for Wave Phenomena
Computer Science and Applied Mathematics: Mathematical Methods for Wave Phenomena focuses on the methods of applied mathematics, including equations, wave fronts, boundary value problems, and scattering problems. The publication initially ponders on first-order partial differential equations, Dirac delta function, Fourier transforms, asymptotics, and second-order partial differential equations. Discussions focus on prototype second-order equations, asymptotic expansions, asymptotic expansions of Fourier integrals with monotonic phase, method of stationary phase, propagation of wave fronts, and variable index of refraction. The text then examines wave equation in one space dimension, as well ...
Inverse Problems of Acoustic and Elastic Waves
Contents: A Survey of the Vocal Tract Inverse Problem: Theory, Computations and Experiments; Convergence of Discrete Inversion Solutions; Inversion of Band Limited Reflection Seismograms; Some Recent Results in Inverse Scattering Theory; Well-Posed Questions and Exploration of the Space of Parameters in Linear and Nonlinear Inversion; The Seismic Reflection Inverse Problem; Migration Methods: Partial but Efficient Solutions to the Seismic Inverse Problem; Relationship Between Linearized Inverse Scattering and Seismic Migration; Project Review on Geophysical and Ocean Sound Speed Profile Inversion; Acoustic Tomography; Inverse Problems of Acoustic and Elastic Waves; Finite Element Methods wit...
Invisibility
A lively exploration of how invisibility has gone from science fiction to fact Is it possible for something or someone to be made invisible? This question, which has intrigued authors of science fiction for over a century, has become a headline-grabbing topic of scientific research. In this book, science writer and optical physicist Gregory J. Gbur traces the science of invisibility from its sci-fi origins in the nineteenth-century writings of authors such as H. G. Wells and Fitz James O’Brien to modern stealth technology, invisibility cloaks, and metamaterials. He explores the history of invisibility and its science and technology connections, including the discovery of the electromagnetic spectrum, the development of the atomic model, and quantum theory. He shows how invisibility has moved from fiction to reality, and he questions the hidden paths that lie ahead for researchers. This is not only the story of invisibility but also the story of humankind’s understanding of the nature of light itself, and of the many fascinating figures whose discoveries advanced this knowledge.
Prestack Depth Migration and Velocity Model Building
Compilation of material published 1983-2004.
