Description: Stationary Diffraction by Wedges by Alexander Komech, Anatoli Merzon This book presents a new and original method for the solution of boundary value problems in angles for second-order elliptic equations with constant coefficients and arbitrary boundary operators. This method turns out to be applicable to many different areas of mathematical physics, in particular to diffraction problems in angles and to the study of trapped modes on a sloping beach. Giving the reader the opportunity to master the techniques of the modern theory of diffraction, the book introduces methods of distributions, complex Fourier transforms, pseudo-differential operators, Riemann surfaces, automorphic functions, and the Riemann–Hilbert problem.The book will be useful for students, postgraduates and specialists interested in the application of modern mathematics to wave propagation and diffraction problems. FORMAT Paperback LANGUAGE English CONDITION Brand New Back Cover This book presents a new and original method for the solution of boundary value problems in angles for second-order elliptic equations with constant coefficients and arbitrary boundary operators. This method turns out to be applicable to many different areas of mathematical physics, in particular to diffraction problems in angles and to the study of trapped modes on a sloping beach. Giving the reader the opportunity to master the techniques of the modern theory of diffraction, the book introduces methods of distributions, complex Fourier transforms, pseudo-differential operators, Riemann surfaces, automorphic functions, and the Riemann-Hilbert problem. The book will be useful for students, postgraduates and specialists interested in the application of modern mathematics to wave propagation and diffraction problems. Table of Contents - Introduction. - Part I Survey of Diffraction Theory. - The Early Theory of Diffraction. - Fresnel–Kirchhoff Diffraction Theory. - Stationary and Time-Dependent Diffraction. - The Sommerfeld Theory of Diffraction by Half-Plane. - Diffraction byWedge After Sommerfelds Article. - Part II Method of Automorphic Functions on Complex Characteristics. - Stationary Boundary Value Problems in Convex Angles. - Extension to the Plane. - Boundary Conditions via the Cauchy Data. - Connection Equation on the Riemann Surface. - On Equivalence of the Reduction. - Undetermined Algebraic Equations on the Riemann Surface. - Automorphic Functions on the Riemann Surface. - Functional Equation with a Shift. - Lifting to the Universal Covering. - The Riemann-Hilbert Problem on the Riemann Surface. - The Factorization. - The Saltus Problem and Final Formula. - The Reconstruction of Solution and the Fredholmness. - Extension of the Method to Non-convex Angle. - Comments. Feature Gives a brief, accessible, modern review of the history of the development of the mathematical theory of diffraction Covers techniques applicable to a wide range of problems Provides a detailed and well-illustrated explanation of an original method, missing in the present literature Details ISBN3030266982 Author Anatoli Merzon Pages 167 Year 2019 ISBN-10 3030266982 ISBN-13 9783030266981 Publication Date 2019-09-17 Short Title Stationary Diffraction by Wedges Language English Format Paperback Subtitle Method of Automorphic Functions on Complex Characteristics DOI 10.1007/978-3-030-26699-8 Series Number 2249 UK Release Date 2019-09-17 Edition 1st Imprint Springer Nature Switzerland AG Place of Publication Cham Country of Publication Switzerland Publisher Springer Nature Switzerland AG Edition Description 1st ed. 2019 Series Lecture Notes in Mathematics DEWEY 515.2433 Audience Professional & Vocational Illustrations 3 Illustrations, color; 16 Illustrations, black and white; XI, 167 p. 19 illus., 3 illus. in color. We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:131021254;
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ISBN-13: 9783030266981
Book Title: Stationary Diffraction by Wedges
Number of Pages: 167 Pages
Language: English
Publication Name: Stationary Diffraction by Wedges: Method of Automorphic Functions on Complex Characteristics
Publisher: Springer Nature Switzerland Ag
Publication Year: 2019
Subject: Mathematics, Physics
Item Height: 235 mm
Item Weight: 285 g
Type: Textbook
Author: Anatoli Merzon, Alexander Komech
Item Width: 155 mm
Format: Paperback
