Good book on integral equation?

Question

I'm looking for a good reference on integral equations (i.e., an equation in which an unknown function appears under an integral sign such as the Fredholm equation). I would like something accessible but covers approaches to showing existence. Any help would be much appreciated.

You need to tell exactly what you mean by "integral equations". Is it equations involving integers in number theory? Or the integrals we see in calculus? Or something else? — Aryabhata, Feb 29 '12 at 21:18

score 3 · Accepted Answer · answered Feb 29 '12 at 23:01

3

You may think of this classic by Grippenberg, Londen, Staffans.

It is quite complete and also accessible compared to other books, but not an easy reading.

answered Feb 29 '12 at 23:01

abatkai

690

score 2 · Answer 2 · answered Mar 01 '13 at 14:41

2

Here is a well written book and easy to read by A. Jerri "Introduction to Integral Equations with Applications".

answered Mar 01 '13 at 14:41

Mhenni Benghorbal

47,431

score 1 · Answer 3 · answered Dec 14 '14 at 06:23

1

I am reading Linear Integral Equations by William Vernon Lovitt and finding it quite easy to understand. If you are a beginner, you should definitely try that.

answered Dec 14 '14 at 06:23

Jiten

11

score 1 · Answer 4 · answered Mar 01 '13 at 14:27

1

Stephen M.Zemyan, The Classical Theory of Integral Equations, A Concise Treatment, Birkhauser Recently, I'm reading this book. I think it is the best one for beginner.

answered Mar 01 '13 at 14:27

Mathwinnie

61

score 1 · Answer 5 · edited Sep 05 '20 at 14:21

1

Handbook of Integral Equations: Polyanin, Andrei D. Manzhirov is avaliable on the P2P servers or it can be found easily

it dealsh with integral equations how to solve it with examples and similar

edited Sep 05 '20 at 14:21

user577215664

40,625

answered Mar 01 '13 at 14:34

Jose Garcia

8,506

Good book on integral equation?

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