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A First Course in Integral Equations, by A M Wazwaz
Free Ebook A First Course in Integral Equations, by A M Wazwaz
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This book presents the subject of integral equations in an accessible manner for a variety of applications. Emphasis is placed on understanding the subject while avoiding the abstract and compact theorems. A distinctive feature of the book is that it introduces the recent powerful and reliable developments in this field, which are not covered in traditional texts. The newly developed decomposition method, the series solution method and the direct computation method are thoroughly implemented, which allows the topic to be far more accessible. The book also includes some of the traditional techniques for comparison.
Using the newly developed methods, the author successfully handles Fredholm and Volterra integral equations, singular integral equations, integro-differential equations and nonlinear integral equations, with promising results for linear and nonlinear models. Many examples are given to introduce the material in a clear and thorough fashion. In addition, many exercises are provided to build confidence, ease and skill in using the new methods.
This book may be used as a text for advanced undergraduates and graduate students in mathematics and scientific areas, and as a work of reference for research study of differential equations and numerical analysis.
- Sales Rank: #5964463 in Books
- Published on: 1997-06-01
- Original language: English
- Dimensions: 8.60" h x .50" w x 6.10" l,
- Binding: Paperback
- 220 pages
Most helpful customer reviews
8 of 9 people found the following review helpful.
What I was looking for
By Math, Muscles, and Music
A little background. I am taking an inverse problem graduate level course, which makes use of Gelfand-Levitan equations, Marchenko equations, etc. I had never studied integral equations, and I was looking to get an intuitive understanding of how to solve and approach the G-L and Marchenko equations. One of the main problems I was having was understanding the notation of the G-L equations. This book gave me a lot of the basics that I was missing in how to solve Fredholm and Volterra equations and also where some of the more advanced theory came from. So, I would recommend this book as a great introduction to integral equations, as the name suggests.
For a more theoretical approach, I would first go through Abdul Jerri's book on integral equations, and then, if you want to learn some applications or more theory, I would recommend books by Chadan, Sabatier, Marchenko, etc.
11 of 13 people found the following review helpful.
A really wonderful book !
By ANDREJS JANSONS
This was almost my first book which I had read about integral equations. The real advantage of it is that this book is not an abstract one, but really teaches you several practical equation solving methods and contains lots of examples and exercises with the answers provided at the end of the book. Simply great !
0 of 0 people found the following review helpful.
Excellent for non-mathematician
By Turtleman
Unlike other books, it avoids abstract theorem-proof. and shows actual calculations.
Extremely useful for engineers and physicists.
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