Partial Differential Equations

In this book, Professor Copson gives a rigorous account of the theory of partial differential equations of the first order

E. T. Copson (Author)

9780521098939, Cambridge University Press

Paperback / softback, published 2 October 1975

292 pages
22.9 x 15.2 x 3.6 cm, 0.97 kg

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.

Preface
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
Appendix
Books for further reading
Index.

Subject Areas: Mathematics [PB]