Waves and defect modes in structures media.- Piezoelectric superlattices and shunted periodic arrays as tunable periodic structures and metamaterials.- Topology optimization.- Map-based approaches for periodic structures.- Methodologies for nonlinear periodic media.? The contributions in this volume present both the theoretical background and an overview of the state-of-the art in wave propagation in linear and nonlinear…
This book offers the first comprehensive introduction to wave scattering in nonstationary materials.G. F. Roach’s aim is to provide an accessible, self-contained resource for newcomers to this important field of research that has applications across a broad range of areas, including radar, sonar, diagnostics in engineering and manufacturing, geophysical prospecting, and ultrasonic medicine such as…
Characteristics and asymptotics of partial differential equations play an important role in mathematical physics since they lead to insightful solutions of complex problems that might not be solvable otherwise.They constitute, however, a difficult subject, and the purpose of this book, with its additions and refinements that led to its third edition, is to present this…
The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere.By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially…
The origins of wavelets go back to the beginning of the last century and wavelet methods are by now a well-known tool in image processing (jpeg2000).These functions have, however, been used successfully in other areas, such as elliptic partial differential equations, which can be used to model many processes in science and engineering. This book,…
WAVELETS AND RENORMALIZATION describes the role played by wavelets in Euclidean field theory and classical statistical mechanics.The author begins with a stream-lined introduction to quantum field theory from a rather basic point of view. Functional integrals for imaginary-time-ordered expectations are introduced early and naturally, while the connection with the statistical mechanics of classical spin systems…
The Wavelet Transform has stimulated research that is unparalleled since the invention of the Fast Fourier Transform and has opened new avenues of applications in signal processing, image compression, radiology, cardiology, and many other areas. This book grew out of a short course for mathematics students at the ETH in Zurich; it provides a solid…
Nowadays, some knowledge of wavelets is almost mandatory for mathematicians, physicists and electrical engineers.The emphasis in this volume, based on an intensive course on Wavelets given at CWI, Amsterdam, is on the affine case. The first part presents a concise introduction of the underlying theory to the uninitiated reader. The second part gives applications in…
Wavelets is a carefully organized and edited collection of extended survey papers addressing key topics in the mathematical foundations and applications of wavelet theory.The first part of the book is devoted to the fundamentals of wavelet analysis. The construction of wavelet bases and the fast computation of the wavelet transform in both continuous and discrete…
Wavelets are spatially localized functions whose amplitude drops off exponentially outside a small “window”.They are used to magnify experimental or numerical data and have become powerful tools in signal processing and other computational sciences. This book gives scientists and engineers a practical understanding of wavelets-their origins, their purpose, their use, and their prospects. It covers…
Waves and oscillations permeate virtually every field of current physics research, are central to chemistry, and are essential to much of engineering.Furthermore, the concepts and mathematical techniques used for serious study of waves and oscillations form the foundation for quantum mechanics. Once they have mastered these ideas in a classical context, students will be ready…
The present book � which is the third, significantly revised edition of the textbook originally published by Elsevier Science � emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena.Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic…
Seismology, as a branch of mathematical physics, is an active subject of both research and development.Its reliance on computational and technological advances continuously motivates the developments of its underlying theory. The fourth edition of Waves and Rays in Elastic Continua responds to these needs.The book is both a research reference and a textbook. Its careful…
In summary, Professor Slawinski has written an engaging volume covering an unfamiliar topic in a highly accessible fashion.Non-specialists will gain a significant appreciation of the unique complexities associated with seismology.’ Contemporary Physics The author dedicates this book to readers who are concerned with finding out the status of concepts, statements and hypotheses, and with clarifying…
“Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics� is devoted completely to nonlinear structures.The general theory is given here in parallel with mathematical models. Many concrete examples illustrate the general analysis of Part I. Part II is devoted to applications to nonlinear acoustics, including specific nonlinear models and exact…
Waves in Layered Media 2e Waves in Layered Media 2e 2nd Edition is written by Brekhovskikh, L and published by Academic Press.ISBNs for Waves in Layered Media 2e are 9780121305604, 9780323161626, 0323161626 and the print ISBNs are 9780121305604, 0121305600.
