PDF Ebook Introduction to Integral Equations with Applications, by A. Jerri
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Introduction to Integral Equations with Applications, by A. Jerri
PDF Ebook Introduction to Integral Equations with Applications, by A. Jerri
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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 Appliqu�es.
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.
- Sales Rank: #5766568 in Books
- Brand: Brand: Wiley-Interscience
- Published on: 1999-09-03
- Original language: English
- Number of items: 1
- Dimensions: 9.65" h x 1.04" w x 6.36" l, 1.60 pounds
- Binding: Hardcover
- 456 pages
- Used Book in Good Condition
Review
In the reviewer's opinion, the book is highly recommended to both undergraduate and graduate students in Science and Engineering, to applied scientists and engineers and to those teaching college courses oriented toward applications. In praticular, the relationship between integral equation and a variety of applied problems, which is profusely illustrated in the book, makes it attractive for many readers. (Zentralblatt Math, Volume 938, No 13, 2000)
"This textbook is suitable for a good first course in integral equations at the undergraduate level for students with no background in complex variable theory." (Mathematical Reviews, Issue 2001j)
From the Back Cover
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 Appliqu�es.
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.
About the Author
ABDUL J. JERRI, PhD, is Professor of Mathematics at Clarkson University, Potsdam, New York.
Most helpful customer reviews
8 of 8 people found the following review helpful.
An excellent introduction.
By A Customer
Clearly written, this book offers to the non-specialist the theoretical framework as well as the numerical methods of the integral equations (IE). The book does not require strong skills in maths. It provides a useful classification of the IE. The link between IE and Boundary Value problems is clearly explicited.
The book is formed as following:
1/IE, origin and basic tools
2/Modeling of problems as IE
3/Volterra IE
4/Green's function
5/Fredholm IE
6/Existence of the solutions; Basic fixed point theorems
7/Higher quadrature rules for numerical solutions
A/Hankel transforms
B/GF for various Bounadry Value problems
Answers to exercises
This book is intended for absolute beginners in IE. It is effectively an excellent introduction to the world of IE (see also the Hochstadt). Readers more familiar with should turn to Estrada & Kanwal, or to Muskhelishvili.
3 of 3 people found the following review helpful.
One of the best integral equations textbooks
By Y. J. kim
The book represents a well-written and richly illustrated by examples textbook for those who want to be introduced to the topic... The book...might be very useful for engineers and students. Special features, distinguishing the book from others...are simple exposition, ample examples, and detailed solution manual for the exercises.
Highly recommended.
3 of 4 people found the following review helpful.
Student's Solution Manual to accompany Introduction to integral equations with Appls., Samp. Publ. 69 Leroy St Potsdam NY13676
By Abdul J. Jerri
The Solutions manual can be found at:
http://www.amazon.com/exec/obidos/tg/detail/-/0967330106/qid=1141351808/sr=1-3/ref=sr_1_3/104-2033616-3607961?v=glance&s=books
It is the only solution manual for a book in integral equations with solutions to the exercises and many extra problems.
Published by a different publisher than Wiley and Sons, it is
Sampling Publishing
(...)
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