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Author | : Abdul J. Jerri |
Publisher | : John Wiley & Sons |
Total Pages | : 458 |
Release | : 1999-09-03 |
Genre | : Mathematics |
ISBN | : 9780471317340 |
Download Introduction to Integral Equations with Applications Book in PDF, ePub and Kindle
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.
Author | : Harry Hochstadt |
Publisher | : John Wiley & Sons |
Total Pages | : 282 |
Release | : 2011-09-09 |
Genre | : Mathematics |
ISBN | : 1118165934 |
Download Integral Equations Book in PDF, ePub and Kindle
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.
Author | : Matiur Rahman |
Publisher | : WIT Press |
Total Pages | : 385 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 1845641019 |
Download Integral Equations and Their Applications Book in PDF, ePub and Kindle
The book deals with linear integral equations, that is, equations involving an unknown function which appears under the integral sign and contains topics such as Abel's integral equation, Volterra integral equations, Fredholm integral integral equations, singular and nonlinear integral equations, orthogonal systems of functions, Green's function as a symmetric kernel of the integral equations.
Author | : Hermann Brunner |
Publisher | : Cambridge University Press |
Total Pages | : 405 |
Release | : 2017-01-20 |
Genre | : Mathematics |
ISBN | : 1107098726 |
Download Volterra Integral Equations Book in PDF, ePub and Kindle
See publisher description :
Author | : C. Corduneanu |
Publisher | : |
Total Pages | : 366 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 9780521340502 |
Download Integral Equations and Applications Book in PDF, ePub and Kindle
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.
Author | : Rudolf Gorenflo |
Publisher | : Springer |
Total Pages | : 225 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540469494 |
Download Abel Integral Equations Book in PDF, ePub and Kindle
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.
Author | : Abdul J. Jerri |
Publisher | : |
Total Pages | : 280 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : |
Download Introduction to Integral Equations with Applications Book in PDF, ePub and Kindle
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.
Author | : E. C. Zachmanoglou |
Publisher | : Courier Corporation |
Total Pages | : 432 |
Release | : 2012-04-20 |
Genre | : Mathematics |
ISBN | : 048613217X |
Download Introduction to Partial Differential Equations with Applications Book in PDF, ePub and Kindle
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
Author | : Ram P. Kanwal |
Publisher | : Springer Science & Business Media |
Total Pages | : 327 |
Release | : 2013-11-27 |
Genre | : Mathematics |
ISBN | : 1461207657 |
Download Linear Integral Equations Book in PDF, ePub and Kindle
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.
Author | : K?saku Yoshida |
Publisher | : Courier Corporation |
Total Pages | : 242 |
Release | : 1991-01-01 |
Genre | : Mathematics |
ISBN | : 9780486666792 |
Download Lectures on Differential and Integral Equations Book in PDF, ePub and Kindle
Lucid, self-contained exposition of theory of ordinary differential equations and integral equations. Boundary value problem of second order linear ordinary differential equations, Fredholm integral equations, many other topics. Bibliography. 1960 edition.