2 edition of **Linear Integral Equations** found in the catalog.

- 75 Want to read
- 22 Currently reading

Published
**1999**
by Springer New York in New York, NY
.

Written in English

- Mathematics,
- Global analysis (Mathematics)

This book resulted from the author"s fascination with the mathematical beauty of integral equations. It is an attempt to combine theory, applications, and numerical methods, and cover each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers, the author has made the work as self-contained as possible, by requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book. Problems are included at the end of each chapter. For the second edition, in addition to corrections and adjustments throughout the text, as well as an updated reference section, new topics have been added.

**Edition Notes**

Statement | by Rainer Kress |

Series | Applied Mathematical Sciences -- 82, Applied mathematical sciences (Springer-Verlag New York Inc.) -- 82. |

Classifications | |
---|---|

LC Classifications | QA299.6-433 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource (xiv, 367 p.) |

Number of Pages | 367 |

ID Numbers | |

Open Library | OL27071308M |

ISBN 10 | 1461268176, 146120559X |

ISBN 10 | 9781461268178, 9781461205593 |

OCLC/WorldCa | 853259756 |

This uncorrected soft cover reprint of the second edition places the emphasis on applications and presents a variety of techniques with extensive ally published in , Linear Integral Equations is ideal as a text for a beginning graduate level course. Its treatment of boundary value problems also makes the book useful to This book presents numerical methods and computational aspects for linear integral equations. Such equations occur in various areas of applied mathematics, physics, and engineering. The material covered in this book, though not exhaustive, offers useful techniques for solving a variety of › Birkhäuser › Mathematics.

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 In the ten years since the first edition of this book appeared, integral equations and integral operators have revealed more of their mathematical beauty and power to me. Therefore, I am pleased to have the opportunity to share some of these new insights with the readers of this book. As in the first edition, the main motivation is to present the fundamental theory of integral equations, some ?id=R3BIOfKssQ4C.

This book will try to stimulate the reader to share this love with me. Having taught integral equations a number of times I felt a lack of a text which adequately combines theory, applications and numerical methods. Therefore, in this book I intend to cover each of these fields with the same :// "This book is an excellent introductory text for students, scientists, and engineers who want to learn the basic theory of linear integral equations and their numerical solution." (Math. Reviews, ) "This is a good introductory text book on linear integral equations. › Books › Engineering & Transportation › Engineering.

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"This book is an excellent introductory text for students, scientists, and engineers who want to learn the basic theory of linear integral equations and their numerical solution." (Math.

Reviews, ) "This is a good introductory text book on linear integral equations. "This book is an excellent introductory text for students, scientists, and engineers who want to learn the basic theory of linear integral equations and their numerical solution." (Math.

Reviews, ) "This is a good introductory text book on linear integral equations. › Mathematics › Analysis. Linear Integral Equations: Theory and Technique is an chapter text that covers the theoretical and methodological aspects of linear integral equations. After a brief overview of the fundamentals of the equations, this book goes on dealing with specific integral equations with separable kernels and a method of successive :// Linear Integral Equations book.

Read reviews from world’s largest community for readers. Derived from the author's lectures at Leningrad University, this Linear Integral Equations book. Read 3 reviews from the world's largest community for readers. Many physical problems that are usually solved by differen In the ten years since the first edition of this book appeared, integral equations and integral operators have revealed more of their mathematical beauty and power to me.

Therefore, I am pleased to have the opportunity to share some of these new insights with the readers of this :// 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 :// The book can be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations.

Discover the world's research 17+ million members The book deals with linear integral equations, that is, equations involving an unknown function which appears under an integral sign. Such equations occur widely in diverse areas of applied mathematics and physics.

They offer a powerful technique for solving a variety of practical problems. One obvious reason for using aim of this book is to oﬀer practical treatment of linear and nonlinear inte-gral equations emphasizing the need to problem solving rather than theorem proving.

The book was developed as a result of many years of experiences in teach-ing integral equations and conducting research work in this ﬁeld. The author This book resulted from the author's fascination with the mathematical beauty of integral equations.

It is an attempt to combine theory, applications, and numerical methods, and cover each of these fields with the same :// Linear integral equations is a small, useful text which is easy to follow and has examples and problems with solutions.

It covers Fredholm theory and Schmidt-Hilbert methods with a chapter on application for each. It should be easy to follow for someone with an elementary differential equations › Books › Science & Math › Mathematics. 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 :// Denoting the unknown function by φwe consider linear integral equations which involve an integral of the form K(x,s)φ(s)ds or K(x,s)φ(s)ds a x ∫ a b ∫ The type with integration over a fixed interval is called a Fredholm equation, while if the upper limit is x, a variable, it is a Volterra equation.

The other fundamental division of these ~rac/MT/Integral - Buy Linear Integral Equations book online at best prices in India on Read Linear Integral Equations book reviews & author details and more at Up till now there has been no text on integral equations adequately combining theory, applications and numerical methods: this book sets out to cover each of these areas with the same weighting.

The first part provides the basic Riesz-Fredholm theory for equations of the second kind with compact operators in dual systems, including all functional analytic concepts :// This book will try to stimulate the reader to share this love with me. Having taught integral equations a number of times I felt a lack of a text which adequately combines theory, applications and numerical methods.

Therefore, in this book I intend to cover each of these fields with the same › Mathematics › Analysis. In this page volume, the author presents the reader with a number of methods for solving linear integral equations, which are often discussed within the context of Fredholm integrals using matrix, integral transforms (e.g.

Fourier and Laplace transforms, pp), successive-approximation techniques (pp), and partial differential equations (pp) › Books › Science & Math › Mathematics. Linear Integral Equations: Theory and Technique is an chapter text that covers the theoretical and methodological aspects of linear integral equations.

After a brief overview of the fundamentals of the equations, this book goes on dealing with specific integral equations with separable kernels and a method of successive :// Linear and Nonlinear Integral Equations - Books.

Information > Mathematical Books > Integral Equations. Books on Integral Equations. Agarwal, R. P., O'Regan, D., and. 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 › Birkhäuser › Mathematics.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 › Mathematics › Analysis.In the ten years since the first edition of this book appeared, integral equations and integral operators have revealed more of their mathematical beauty and power to me.

Therefore, I am pleased to have the opportunity to share some of these new insights with the readers of this book. As in › Mathematics › Analysis.