Integral Equations: A Practical Treatment, from Spectral Theory to Applications
Part of Cambridge Texts in Applied Mathematics
- Authors:
- David Porter, University of Reading
- David S. G. Stirling, University of Reading
- Date Published: January 1991
- availability: Available
- format: Paperback
- isbn: 9780521337427
-
This book gives a rigorous and practical treatment of integral equations. These are significant because they occur in many problems in mathematics, physics and engineering and they offer a powerful (sometimes the only) technique for solving these problems. The book aims to tackle the solution of integral equations using a blend of abstract 'structural' results and more direct, down-to-earth mathematics. The interplay between these two approaches is a central feature of the text and it allows a thorough account to be given of many of the types of integral equation which arise in application areas. Since it is not always possible to find explicit solutions of the problems posed, much attention is devoted to obtaining qualitative information and approximations to the solutions, with the associated error estimates. This treatment is intended for final year mathematics undergraduates, postgraduates and research workers in application areas such as numerical analysis and fluid mechanics.
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: January 1991
- format: Paperback
- isbn: 9780521337427
- length: 388 pages
- dimensions: 228 x 152 x 23 mm
- weight: 0.548kg
- availability: Available
Table of Contents
Preface
1. Classification and examples of integral equations
2. Second order ordinary differential equations and integral equations
3. Integral equations of the second kind
4. Compact operators
5. The spectrum of a compact self-adjoint operator
6. Positive operators
7. Approximation methods for eigenvalues and eigenvectors of self-adjoint operators
8. Approximation methods for inhomogeneous integral equations
9. Some singular integral equations
Appendixes
Notation index
Index.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×