Customer Reviews

A First Course in Integral Equations

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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 !

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.