Download or read book On the Method of Stationary Phase for Double Integrals written by Petrus Wilhelmus Marie Boin and published by . This book was released on 1965 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the Method of Stationary Phase for Double Integrals Proeschrift Etc With a Summary in Dutch written by Petrus Wilhelmus Marie BOIN and published by . This book was released on 1965 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase written by Douglas S. Jones and published by Franklin Classics Trade Press. This book was released on 2018-11-10 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Download or read book Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase Classic Reprint written by Douglas S. Jones and published by . This book was released on 2015-08-04 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase was written by Douglas S. Jones and Morris Kline in 1956. This is a 62 page book, containing 13193 words and 14 pictures. Search Inside is enabled for this title. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Download or read book Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase Primary Source Edition written by Douglas S. Jones and published by Nabu Press. This book was released on 2014-02 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

Download or read book Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase Scholar s Choice Edition written by Douglas S Jones and published by Scholar's Choice. This book was released on 2015-02-14 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Download or read book Waves in Focal Regions written by J.J Stamnes and published by Routledge. This book was released on 2017-11-13 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using numerous mathematical and numerical techniques of diffraction theory, Waves in Focal Regions: Propagation, Diffraction and Focusing of Light, Sound and Water Waves provides a full and richly illustrated description of waves in focal regions. Unlike most books, the author treats electromagnetic, acoustic, and water waves in one comprehensive volume. After an introductory section, the book describes approximate diffraction theories and efficient numerical methods to study the focusing of various kinds of waves. It then covers the physical interpretation of the theories, their accuracy, and the computational savings obtained, emphasizing uniform asymptotic results that remain valid in the vicinity of shadow boundaries and caustics. The next part deals with the focusing of scalar waves, including thorough theoretical analyses and detailed contour maps of diffraction patterns in focal regions for a variety of different system parameters, such as f-number, Frensel number, aperture shape, amplitude distribution, and wavefront aberration. The author proceeds to explore the diffraction and focusing of electromagnetic waves. First solutions are derived for fields radiated by sources, reflected and refracted at plane interfaces, or diffracted by apertures in plane screens, and then these solutions are applied to study the focusing in homogeneous media and through a plane dielectric interface. In both cases, the author includes many computed results of the electromagnetic field distribution near focus. Presenting both theoretical and experimental results, the following part examines the focusing of sound and water waves by means of zone-plate lenses. The book concludes with a detailed study of the diffraction and focusing of water waves and a comparison of the results of both linear and nonlinear theories with those of experiments.

Download or read book Asymptotic Expansions of Integrals written by Norman Bleistein and published by Courier Corporation. This book was released on 1986-01-01 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Selected Works of Roderick S C Wong written by Dan Dai and published by World Scientific. This book was released on 2015-08-06 with total page 1557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection, in three volumes, presents the scientific achievements of Roderick S C Wong, spanning 45 years of his career. It provides a comprehensive overview of the author's work which includes significant discoveries and pioneering contributions, such as his deep analysis on asymptotic approximations of integrals and uniform asymptotic expansions of orthogonal polynomials and special functions; his important contributions to perturbation methods for ordinary differential equations and difference equations; and his advocation of the Riemann–Hilbert approach for global asymptotics of orthogonal polynomials. The book is an essential source of reference for mathematicians, statisticians, engineers, and physicists. It is also a suitable reading for graduate students and interested senior year undergraduate students. Contents:Volume 1:The Asymptotic Behaviour of μ(z, β,α)A Generalization of Watson's LemmaLinear Equations in Infinite MatricesAsymptotic Solutions of Linear Volterra Integral Equations with Singular KernelsOn Infinite Systems of Linear Differential EquationsError Bounds for Asymptotic Expansions of HankelExplicit Error Terms for Asymptotic Expansions of StieltjesExplicit Error Terms for Asymptotic Expansions of MellinAsymptotic Expansion of Multiple Fourier TransformsExact Remainders for Asymptotic Expansions of FractionalAsymptotic Expansion of the Hilbert TransformError Bounds for Asymptotic Expansions of IntegralsDistributional Derivation of an Asymptotic ExpansionOn a Method of Asymptotic Evaluation of Multiple IntegralsAsymptotic Expansion of the Lebesgue Constants Associated with Polynomial InterpolationQuadrature Formulas for Oscillatory Integral TransformsGeneralized Mellin Convolutions and Their Asymptotic Expansions,A Uniform Asymptotic Expansion of the Jacobi Polynomials with Error BoundsAsymptotic Expansion of a Multiple IntegralAsymptotic Expansion of a Double Integral with a Curve of Stationary PointsSzegö's Conjecture on Lebesgue Constants for Legendre SeriesUniform Asymptotic Expansions of Laguerre PolynomialsTransformation to Canonical Form for Uniform Asymptotic ExpansionsMultidimensional Stationary Phase Approximation: Boundary Stationary PointTwo-Dimensional Stationary Phase Approximation: Stationary Point at a CornerAsymptotic Expansions for Second-Order Linear Difference EquationsAsymptotic Expansions for Second-Order Linear Difference Equations, IIAsymptotic Behaviour of the Fundamental Solution to ∂u/∂t = –(–Δ)muA Bernstein-Type Inequality for the Jacobi PolynomialError Bounds for Asymptotic Expansions of Laplace ConvolutionsVolume 2:Asymptotic Behavior of the Pollaczek Polynomials and Their ZerosJustification of the Stationary Phase Approximation in Time-Domain AsymptoticsAsymptotic Expansions of the Generalized Bessel PolynomialsUniform Asymptotic Expansions for Meixner Polynomials"Best Possible" Upper and Lower Bounds for the Zeros of the Bessel Function Jν(x)Justification of a Perturbation Approximation of the Klein–Gordon EquationSmoothing of Stokes's Discontinuity for the Generalized Bessel Function. IIUniform Asymptotic Expansions of a Double Integral: Coalescence of Two Stationary PointsUniform Asymptotic Formula for Orthogonal Polynomials with Exponential WeightOn the Asymptotics of the Meixner–Pollaczek Polynomials and Their ZerosGevrey Asymptotics and Stieltjes Transforms of Algebraically Decaying FunctionsExponential Asymptotics of the Mittag–Leffler FunctionOn the Ackerberg–O'Malley ResonanceAsymptotic Expansions for Second-Order Linear Difference Equations with a Turning PointOn a Two-Point Boundary-Value Problem with Spurious SolutionsShooting Method for Nonlinear Singularly Perturbed Boundary-Value ProblemsVolume 3:Asymptotic Expansion of the Krawtchouk Polynomials and Their ZerosOn a Uniform Treatment of Darboux's MethodLinear Difference Equations with Transition PointsUniform Asymptotics for Jacobi Polynomials with Varying Large Negative Parameters — A Riemann–Hilbert ApproachUniform Asymptotics of the Stieltjes–Wigert Polynomials via the Riemann–Hilbert ApproachA Singularly Perturbed Boundary-Value Problem Arising in Phase TransitionsOn the Number of Solutions to Carrier's ProblemAsymptotic Expansions for Riemann–Hilbert ProblemsOn the Connection Formulas of the Third Painlevé TranscendentHyperasymptotic Expansions of the Modified Bessel Function of the Third Kind of Purely Imaginary OrderGlobal Asymptotics for Polynomials Orthogonal with Exponential Quartic WeightThe Riemann–Hilbert Approach to Global Asymptotics of Discrete Orthogonal Polynomials with Infinite NodesGlobal Asymptotics of the Meixner PolynomialsAsymptotics of Orthogonal Polynomials via Recurrence RelationsUniform Asymptotic Expansions for the Discrete Chebyshev PolynomialsGlobal Asymptotics of the Hahn PolynomialsGlobal Asymptotics of Stieltjes–Wigert Polynomials Readership: Undergraduates, gradudates and researchers in the areas of asymptotic approximations of integrals, singular perturbation theory, difference equations and Riemann–Hilbert approach. Key Features:This book provides a broader viewpoint of asymptoticsIt contains about half of the papers that Roderick Wong has written on asymptoticsIt demonstrates how analysis is used to make some formal results mathematically rigorousThis collection presents the scientific achievements of the authorKeywords:Asymptotic Analysis;Perturbation Method;Special Functions;Orthogonal Polynomials;Integral Transforms;Integral Equations;Ordinary Differential Equations;Difference Equations;Riemann–Hilbert Problem

Download or read book Principles of Optics written by Max Born and published by Cambridge University Press. This book was released on 2019-12-19 with total page 993 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 60th anniversary edition of this classic and unrivalled optics reference work includes a special foreword by Sir Peter Knight.

Download or read book Proceedings written by and published by . This book was released on 2000 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Foundations of Acoustics written by Eugen Skudrzyk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research and scientific progress are based upqn intuition coordinated with a wide theoretical knowledge, experimental skill, and a realistic sense of the limitations of technology. Only a deep insight into physical phenomena will supply the necessary skills to handle the problems that arise in acoustics. The acoustician today needs to be well acquainted with mathematics, dynamics, hydrodynamics, and physics; he also needs a good knowledge of statistics, signal processing, electrical theory, and of many other specialized subjects. Acquiring this background is a laborious task and would require the study of many different books. It is the goal of this volume to present this background in as thorough and readable a manner as possible so that the reader may turn to specialized publications or chapters of other books for further information without having to start at the preliminaries. In trying to accomplish this goal, mathematics serves only as a tool; the better our understanding of a physical phenomenon, the less mathematics is needed and the shorter and more concise are our computa tions. A word about the choice of subjects for this volume will be helpful to the reader. Even scientists of high standing are frequently not acquainted with the fundamentals needed in the field of acoustics. Chapters I to IX are devoted to these fundamentals. After studying Chapter I, which dis cusses the units and their relationships, the reader should have no difficulty converting from one system of units to any other.

Download or read book Optical Coherence and Quantum Optics written by Leonard Mandel and published by Cambridge University Press. This book was released on 1995-09-29 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic account of optical coherence theory within the framework of classical optics, as applied to such topics as radiation from sources of different states of coherence, foundations of radiometry, effects of source coherence on the spectra of radiated fields, coherence theory of laser modes, and scattering of partially coherent light by random media.

Download or read book Acoustic gravity Waves in the Atmosphere written by United States. Environmental Science Services Administration and published by . This book was released on 1968 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book X Ray Multiple Wave Diffraction written by Shih-Lin Chang and published by Springer Science & Business Media. This book was released on 2004-06-24 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive text describes the fundamentals of X-ray multiple-wave interaction in crystals and its applications in condensed matter physics and crystallography. It covers current theoretical approaches and application methods for many materials, including macromolecular crystals, thin films, semiconductors, quasicrystals and nonlinear optical materials. X-ray optics is also addressed. Designed primarily as a reference for researchers in condensed matter, crystallography, materials science, and synchrotron-related topics, the book will also be useful as a textbook for graduate and senior-year undergraduate courses on special topics in X-ray diffraction.

Download or read book Asymptotic Expansions written by E. T. Copson and published by Cambridge University Press. This book was released on 2004-06-03 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic representation of a function os of great importance in many branches of pure and applied mathematics.

Download or read book Selected Papers on Geometrical Aspects of Scattering written by Philip L. Marston and published by SPIE-International Society for Optical Engineering. This book was released on 1994 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: SPIE Milestones are collections of seminal papers from the world literature covering important discoveries and developments in optics and photonics.