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Surgical Anatomy and Technique: A Pocket Manual
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Yoshimi Saito, Lee John Skandalakis, John E Skandalakis
The success of any operative procedure is dependent, in part, on the surgeon's knowledge of anatomy. From the first incision to closure of the wound, it is essential to understand the fascial layers, blood supply, lymphatic drainage, nerves, muscles and organs relevant to the operative procedure. "Surgical Anatomy and Technique: A Pocket Manual" ...
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Geometric Scattering Theory
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Richard B Melrose
In this overview of scattering theory, the author shows how it provides a parametrization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. These lecture notes will be of interest to graduate students and researchers in mathematics and engineering.
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Low Frequency Scattering
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George Dassios, Ralph Kleinman
This book for the first time unifies the theories of acoustic, electromagnetic, and elastic waves and discusses the many physical and geometric aspects of their interactions with obstacles. It offers a complete introduction to scattering theory, and goes on to discuss low frequency scattering in particular. A significant number of results are ...
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An Introduction to Echo Analysis: Scattering Theory and Wave Propagation
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G F Roach
The use of various types of wave energy is an increasingly promising, non-destructive means of detecting objects and of diagnosing the properties of quite complicated materials. An analysis of this technique requires an understanding of how waves evolve in the medium of interest and how they are scattered by inhomogeneities in the medium. These ...
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The J-Matrix Method: Developments and Applications
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Abdulaziz D Alhaidari (Editor), Eric J Heller (Editor), Hashim A Yamani (Editor)
This volume aims to provide the fundamental knowledge to appreciate the advantages of the J-matrix method and to encourage its use and further development. The J-matrix method is an algebraic method of quantum scattering with substantial success in atomic and nuclear physics. The accuracy and convergence property of the method compares favourably ...
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Scattering Theory of Classical and Quantum N-Particle Systems
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Jan Derezinski, Christian Gerard
This monograph presents time-dependant methods for studying problems of scattering theory in classical and quantum mechanics. Particualar attention is paid to long-range potentials. For a large class of interactions, the existence of the asymptotic velocity and the asymtotic velocity and the asymtotic completeness of the wave operators is shown. ...
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Inverse Problems in Wave Propagation
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Guy Chavent
Inverse problems in wave propagation concern extraction of information about distant structural features from the measurements of scattered waves. Tasks of this nature arise in geophysics, ocean acoustics, civil and environmental engineering, ultrasonic nondestructive testing, biomedical ultrasonics, radar, astrophysics, and other areas of science ...
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Spectral and Scattering Theory
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Alexander G Ramm (Editor)
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Scattering Theory for Automorphic Functions
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Peter D Lax, Ralph S Phillips
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Determining Spectra in Quantum Theory
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Maddaly Krishna, Michael Demuth
The spectral theory of Schrodinger operators, in particular those with random potentials, continues to be a very active field of research. This work focuses on various known criteria in the spectral theory of selfadjoint operators in order to identify the spectrum and its components a la Lebesgue decomposition. It contains a well-developed ...
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Analytical and Computational Methods in Scattering and Applied Mathematics
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by
Fadil Santosa (Editor), Ivar Stakgold
Professor Ralph Kleinman was director of the Center for the Mathematics of Waves and held the UNIDEL Professorship of the University of Delaware. Before his death in 1998, he made major scientific contributions in the areas of electromagnetic scattering, wave propagation, and inverse problems. He was instrumental in bringing together the ...
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Introduction to Linear and Nonlinear Scattering Theory
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by
G Roach
This monograph has two main purposes, first to act as a companion volume to more advanced texts by gathering together the principal mathematical topics commonly used in developing scattering theories and, in so doing, provide a reasonable, self-contained introduction to linear and nonlinear scattering theory for those who might wish to begin ...
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Canonical Problems in Scattering and Potential Theory Part 1: Canonical Structures in Potential Theory
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Sergey S Vinogradov, Paul Denis Smith, E D Vinogradova
Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for accurately determining diffraction from classes of canonical ...
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Canonical Problems in Scattering and Potential Theory Part II: Acoustic and Electromagnetic Diffraction by Canonical Structures
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Sergey S Vinogradov, Paul Denis Smith, E D Vinogradova
Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for accurately determining diffraction from classes of canonical ...
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Point Sources and Multipoles in Inverse Scattering Theory
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Roland Potthast
Over the last twenty years, the growing availability of computing power has had an enormous impact on the classical fields of direct and inverse scattering. The study of inverse scattering, in particular, has developed rapidly with the ability to perform computational simulations of scattering processes and led to remarkable advances in a range of ...
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New Trends in the Theory of Hyperbolic Equations
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Michael Reissig (Editor), Bert-Wolfgang Schulze (Editor)
This book presents several recent developments in the theory of hyperbolic equations. The carefully selected invited and peer-reviewed contributions deal with questions of low regularity, critical growth, ill-posedness, decay estimates for solutions of different non-linear hyperbolic models, and introduce new approaches based on microlocal methods.
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Mathematical Methods in Scattering Theory and Biomedical Technology
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Dossios, George Dassios, Dimitrios I Fotiadis
The papers in this volume address the state-of-the-art and future directions in applied mathematics in both scattering theory and biomedical technology. A workshop held in Metsovo, Greece during the summer of 1997 brought together some of the world's foremose experts in the field with researchers working in Greece. Sixteen of the contributed ...
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Scattering Theory for Diffraction Gratings
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Calvin H Wilcox
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Theory of Solitons
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Sergei Petrovich Novikov, S V Manakov, L P Pitaevskii
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Notes on Time Decay and Scattering for Some Hyperbolic Problems
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Cathleen S. Morawetz
Solutions of the wave equation or Maxwell's equations in boundary value and free space problems are analyzed. Hyperbolic systems in domains going off to infinity are studied. New results on Maxwell's equations and non-star shaped reflecting bodies are included.
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Scattering Theory: Some Old and New Problems
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Dmitri R Yafaev
Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolutely) continuous spectrum. It has its origin in mathematical problems of quantum mechanics and is intimately related to the theory of partial differential equations. Some recently solved problems, such as asymptotic completeness for the Schrodinger ...
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An Introduction to Inverse Scattering and Inverse Spectral Problems
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K. Chadan, Lassi Paivarinta, William Rundell
Inverse problems attempt to obtain information about structures by non-destructive measurements. This introduction to inverse problems covers three central areas: inverse problems in electromagnetic scattering theory; inverse spectral theory; and inverse problems in quantum scattering theory.
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Asymptotic Analysis of Soliton Problems
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Peter Cornelis Schuur
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Structure of interconnected systems
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H. Nicholson
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Mathematical Scattering Theory
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Hellmut Baumgartel, Manfred Wollenberg
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