Reference book for "Fredholm integral equations"

In summary, a Fredholm integral equation is an equation that involves an unknown function within an integral and is named after mathematician Erik Ivar Fredholm. A reference book for Fredholm integral equations provides a comprehensive and in-depth guide for understanding and solving these equations, and is beneficial for scientists, engineers, and mathematicians working with these equations. Topics covered in such a reference book may include theory, properties, numerical methods, applications, and advanced topics. While a well-written reference book can serve as a standalone resource for learning about these equations, consulting other resources may provide a more well-rounded understanding.
  • #1
Si14
75
0
Hi,

I am looking for a good reference book for "Fredholm integral equations".
+ a book with lots of examples related to this topic!

Thanks for your help.
 
Physics news on Phys.org
  • #2
Chapter 3 of "Methods of Applied Mathematics" by Francis Hildebrand, now a Dover book.

"A Course on Integral Equations" by Pipkin. Springer.
 
  • Like
Likes Si14 and bolbteppa
  • #3
I wish I seen chapter 3 of Hildebrand last summer, thanks, exactly what I wanted! :D
 

1. What is a Fredholm integral equation?

A Fredholm integral equation is a type of integral equation that involves an unknown function within the integral. It is named after mathematician Erik Ivar Fredholm, who first studied these equations in the late 19th century.

2. What is the purpose of a reference book for Fredholm integral equations?

A reference book for Fredholm integral equations provides a comprehensive and in-depth guide for understanding and solving these equations. It includes various methods and techniques for solving different types of Fredholm integral equations, as well as examples and applications in various fields of science and engineering.

3. Who would benefit from using a reference book for Fredholm integral equations?

Scientists, engineers, and mathematicians who are studying or working with Fredholm integral equations would benefit from using a reference book. It can also be useful for students learning about integral equations and their applications.

4. What topics are typically covered in a reference book for Fredholm integral equations?

A reference book for Fredholm integral equations may cover topics such as the theory and properties of Fredholm integral equations, numerical methods for solving them, applications in various fields, and advanced topics such as singular and nonlinear integral equations.

5. Can a reference book for Fredholm integral equations be used as a standalone resource for learning about these equations?

Yes, a well-written and comprehensive reference book for Fredholm integral equations can serve as a standalone resource for learning about these equations. However, it may be beneficial to also consult other resources, such as textbooks and online tutorials, for a more well-rounded understanding.

Similar threads

Replies
5
Views
1K
  • Science and Math Textbooks
Replies
4
Views
1K
Replies
2
Views
2K
  • Science and Math Textbooks
Replies
3
Views
839
  • Science and Math Textbooks
Replies
1
Views
648
  • Science and Math Textbooks
Replies
4
Views
594
  • Science and Math Textbooks
Replies
26
Views
3K
  • Science and Math Textbooks
Replies
0
Views
585
  • Science and Math Textbooks
Replies
2
Views
1K
  • Science and Math Textbooks
Replies
6
Views
835
Back
Top