On Some Fredholm Integral Equations Arising in Diffraction Theory (Classic Reprint)
On Some Fredholm Integral Equations Arising in Diffraction Theory (Classic Reprint)

Author: Chao Hui Yang

Publisher: Forgotten Books

Published: 2017-12-10

Total Pages: 28

ISBN-13: 9780332598956

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Excerpt from On Some Fredholm Integral Equations Arising in Diffraction Theory In these integral equations, we find that the kernels contain a para meter arin a, non-linearwmanner. It should also be noted that both kernels are symmetric in x and y but that they are neither hermitian symmetric nor normal, except for special values of a. 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.

On Some Fredholm Integral Equations Arising in Diffraction Theory
On Some Fredholm Integral Equations Arising in Diffraction Theory

Author: Chao-Hui Yang

Publisher: Palala Press

Published: 2018-02-19

Total Pages: 26

ISBN-13: 9781378112700

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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.

AFOSR.
AFOSR.

Author: United States. Air Force. Office of Scientific Research

Publisher:

Published: 1950

Total Pages: 1190

ISBN-13:

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Linear and Nonlinear Integral Equations
Linear and Nonlinear Integral Equations

Author: Abdul-Majid Wazwaz

Publisher: Springer Science & Business Media

Published: 2011-11-24

Total Pages: 639

ISBN-13: 3642214495

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Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.

Mathematical Methods in Physics and Engineering
Mathematical Methods in Physics and Engineering

Author: John W. Dettman

Publisher: Courier Corporation

Published: 2013-01-23

Total Pages: 450

ISBN-13: 0486169367

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Intended for college-level physics, engineering, or mathematics students, this volume offers an algebraically based approach to various topics in applied math. It is accessible to undergraduates with a good course in calculus which includes infinite series and uniform convergence. Exercises follow each chapter to test the student's grasp of the material; however, the author has also included exercises that extend the results to new situations and lay the groundwork for new concepts to be introduced later. A list of references for further reading will be found at the end of each chapter. For this second revised edition, Professor Dettman included a new section on generalized functions to help explain the use of the Dirac delta function in connection with Green's functions. In addition, a new approach to series solutions of ordinary differential equations has made the treatment independent of complex variable theory. This means that the first six chapters can be grasped without prior knowledge of complex variables. However, since Chapter 8 depends heavily on analytic functions of a complex variable, a new Chapter 7 on analytic function theory has been written.