In this book, Professor Copson gives a rigorous account of the theory of partial differential equations of the first order and of linear partial differential equations of the second order, using the methods of classical analysis. In spite of the advent of computers and the applications of the methods of functional analysis to the theory of partial differential equations, the classical theory retains its relevance in several important respects. Many branches of classical analysing have their origins in the rigourous discussion of problems in applies mathematics and theoretical physics, and the classical treatment of the theory of partial differential equations still provides the best method of treating many physical problems. A knowledge of the classical theory is essential for pure mathematics who intend to undertake research in this field, whatever approach they ultimately adopt. The numerical analyst needs a knowledge of classical theory in order to decide whether a problem has a unique solution or not.
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: October 1975
- format: Paperback
- isbn: 9780521098939
- length: 292 pages
- dimensions: 229 x 152 x 17 mm
- weight: 0.43kg
- availability: Available
Table of Contents
1. Partial differential equations of the first order
2. Characteristics of equations of the second order
3. Boundary value and initial value problems
4. Equations of hyperbolic type
5. Reimann's method
6. The equation of wave motions
7. Marcel Riesz's method
8. Potential theory in the plane
9. Subharmonic functions and the problem of Dirichlet
10. Equations of elliptic type in the plane
11. Equations of elliptic type in space
12. The equation of heat
Books for further reading
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
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.×