Introduction To Integral Equations With Applications
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Introduction To Integral Equations With Applications
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Author : Abdul J. Jerri
language : en
Publisher: John Wiley & Sons
Release Date : 1999-09-03
Introduction To Integral Equations With Applications written by Abdul J. Jerri and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-03 with Mathematics categories.
From the reviews of the First Edition: "Extremely clear, self-contained text . . . offers to a wide class of readers the theoretical foundations and the modern numerical methods of the theory of linear integral equations."-Revue Roumaine de Mathematiques Pures et Appliquées. Abdul Jerri has revised his highly applied book to make it even more useful for scientists and engineers, as well as mathematicians. Covering the fundamental ideas and techniques at a level accessible to anyone with a solid undergraduate background in calculus and differential equations, Dr. Jerri clearly demonstrates how to use integral equations to solve real-world engineering and physics problems. This edition provides precise guidelines to the basic methods of solutions, details more varied numerical methods, and substantially boosts the total of practical examples and exercises. Plus, it features added emphasis on the basic theorems for the existence and uniqueness of solutions of integral equations and points out the interrelation between differentiation and integration. Other features include: * A new section on integral equations in higher dimensions. * An improved presentation of the Laplace and Fourier transforms. * A new detailed section for Fredholm integral equations of the first kind. * A new chapter covering the basic higher quadrature numerical integration rules. * A concise introduction to linear and nonlinear integral equations. * Clear examples of singular integral equations and their solutions. * A student's solutions manual available directly from the author.
Introduction To Integral Equations With Applications
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Author : Abdul J. Jerri
language : en
Publisher:
Release Date : 1999-09-01
Introduction To Integral Equations With Applications written by Abdul J. Jerri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-01 with Integral equations categories.
This is the first book on solved problems in integral equations. It is prepared to accompany the author's textbook "Introduction to Integral Equations with Applications - 2nd ed., Wiley & Sons, Inc., 1999", which is the first complete & applicable undergraduate text on the subject. The manual contains very detailed solutions to more than half the problems in the text besides statements & solutions to additional exercises, that are covered to serve illustrating the introductory material in the more advanced books. As for the accompanied text, both books model a variety of real world problems & are accessible to undergraduate students & interested readers with preparation in basic calculus & differential equation courses. Librarians will find this package invaluable for their readers with the need to learn about integral equations. There is no doubt that it will also fill a very proper space in college book stores as the real introductory & complete books on the subject. The package discusses & illustrates in full details, the most basic exact, approximate & numerical solutions to the basic integral equations. Coming in September, 1999. To order: Telephone (315)265-2755, (315)265-1005, Fax (315)265-2755, e-mail:[email protected], [email protected]. Send $29.95 plus $2.95 for shipping & handling in the United States & Canada & $4.95 abroad (in US currency - major credit cards accepted) to: Attn. S.A. Jerri, 69 Leroy Street, Potsdam, MY 13676, USA. See the web site: http://www.clarkson.edu/-jerria/solnman.
Volterra Integral Equations
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Author : Hermann Brunner
language : en
Publisher: Cambridge University Press
Release Date : 2017-01-20
Volterra Integral Equations written by Hermann Brunner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-20 with Mathematics categories.
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Integral Equations
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Author : Harry Hochstadt
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-09
Integral Equations written by Harry Hochstadt and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-09 with Mathematics categories.
This classic work is now available in an unabridged paperback edition. Hochstatdt's concise treatment of integral equations represents the best compromise between the detailed classical approach and the faster functional analytic approach, while developing the most desirable features of each. The seven chapters present an introduction to integral equations, elementary techniques, the theory of compact operators, applications to boundary value problems in more than dimension, a complete treatment of numerous transform techniques, a development of the classical Fredholm technique, and application of the Schauder fixed point theorem to nonlinear equations.
Principles Of Differential And Integral Equations
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Author : C. Corduneanu
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-05-09
Principles Of Differential And Integral Equations written by C. Corduneanu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-09 with Mathematics categories.
In summary, the author has provided an elegant introduction to important topics in the theory of ordinary differential equations and integral equations. -- Mathematical Reviews This book is intended for a one-semester course in differential and integral equations for advanced undergraduates or beginning graduate students, with a view toward preparing the reader for graduate-level courses on more advanced topics. There is some emphasis on existence, uniqueness, and the qualitative behavior of solutions. Students from applied mathematics, physics, and engineering will find much of value in this book. The first five chapters cover ordinary differential equations. Chapter 5 contains a good treatment of the stability of ODEs. The next four chapters cover integral equations, including applications to second-order differential equations. Chapter 7 is a concise introduction to the important Fredholm theory of linear integral equations. The final chapter is a well-selected collection of fascinating miscellaneous facts about differential and integral equations. The prerequisites are a good course in advanced calculus, some preparation in linear algebra, and a reasonable acquaintance with elementary complex analysis. There are exercises throughout the text, with the more advanced of them providing good challenges to the student.
Integral Equations And Applications
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Author : C. Corduneanu
language : en
Publisher:
Release Date : 1991
Integral Equations And Applications written by C. Corduneanu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
The purpose of this book is threefold: to be used for graduate courses on integral equations; to be a reference for researchers; and to describe methods of application of the theory. The author emphasizes the role of Volterra equations as a unifying tool in the study of functional equations, and investigates the relation between abstract Volterra equations and other types of functional-differential equations.
Linear Integral Equations
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Author : Ram P. Kanwal
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
Linear Integral Equations written by Ram P. Kanwal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Mathematics categories.
This second edition of Linear Integral Equations continues the emphasis that the first edition placed on applications. Indeed, many more examples have been added throughout the text. Significant new material has been added in Chapters 6 and 8. For instance, in Chapter 8 we have included the solutions of the Cauchy type integral equations on the real line. Also, there is a section on integral equations with a logarithmic kernel. The bibliography at the end of the book has been exteded and brought up to date. I wish to thank Professor B.K. Sachdeva who has checked the revised man uscript and has suggested many improvements. Last but not least, I am grateful to the editor and staff of Birkhauser for inviting me to prepare this new edition and for their support in preparing it for publication. RamP Kanwal CHAYfERl Introduction 1.1. Definition An integral equation is an equation in which an unknown function appears under one or more integral signs Naturally, in such an equation there can occur other terms as well. For example, for a ~ s ~ b; a :( t :( b, the equations (1.1.1) f(s) = ib K(s, t)g(t)dt, g(s) = f(s) + ib K(s, t)g(t)dt, (1.1.2) g(s) = ib K(s, t)[g(t)fdt, (1.1.3) where the function g(s) is the unknown function and all the other functions are known, are integral equations. These functions may be complex-valued functions of the real variables s and t.
Introduction To Integral Equations With Applications
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Author : Abdul J. Jerri
language : en
Publisher:
Release Date : 1985
Introduction To Integral Equations With Applications written by Abdul J. Jerri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Abdul Jerri has revised his highly applied book to make it even more useful for scientists and engineers, as well as mathematicians. Covering the fundamental ideas and techniques at a level accessible to anyone with a solid undergraduate background in calculus and differential equations, Dr. Jerri clearly demonstrates how to use integral equations to solve real-world engineering and physics problems. This edition provides precise guidelines to the basic methods of solutions, details more varied numerical methods, and substantially boosts the total of practical examples and exercises. Plus, it features added emphasis on the basic theorems for the existence and uniqueness of solutions of integral equations and points out the interrelation between differentiation and integration.
Abel Integral Equations
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Author : Rudolf Gorenflo
language : en
Publisher: Springer
Release Date : 2006-11-14
Abel Integral Equations written by Rudolf Gorenflo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i) theoretical mathematicians looking for applications, (ii) mathematicians working in applications in need of theory, and (iii) scientists and engineers applying mathematical models and methods. The intention of this book is to stimulate this flow of information. In the first three chapters (accessible to third year students of mathematics and physics and to mathematically interested engineers) applications of Abel integral equations are surveyed broadly including determination of potentials, stereology, seismic travel times, spectroscopy, optical fibres. In subsequent chapters (requiring some background in functional analysis) mapping properties of Abel integral operators and their relation to other integral transforms in various function spaces are investi- gated, questions of existence and uniqueness of solutions of linear and nonlinear Abel integral equations are treated, and for equations of the first kind problems of ill-posedness are discussed. Finally, some numerical methods are described. In the theoretical parts, emphasis is put on the aspects relevant to applications.
Numerical Solution Of Integral Equations
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Author : Michael A. Golberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Numerical Solution Of Integral Equations written by Michael A. Golberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
In 1979, I edited Volume 18 in this series: Solution Methods for Integral Equations: Theory and Applications. Since that time, there has been an explosive growth in all aspects of the numerical solution of integral equations. By my estimate over 2000 papers on this subject have been published in the last decade, and more than 60 books on theory and applications have appeared. In particular, as can be seen in many of the chapters in this book, integral equation techniques are playing an increas ingly important role in the solution of many scientific and engineering problems. For instance, the boundary element method discussed by Atkinson in Chapter 1 is becoming an equal partner with finite element and finite difference techniques for solving many types of partial differential equations. Obviously, in one volume it would be impossible to present a complete picture of what has taken place in this area during the past ten years. Consequently, we have chosen a number of subjects in which significant advances have been made that we feel have not been covered in depth in other books. For instance, ten years ago the theory of the numerical solution of Cauchy singular equations was in its infancy. Today, as shown by Golberg and Elliott in Chapters 5 and 6, the theory of polynomial approximations is essentially complete, although many details of practical implementation remain to be worked out.