Partial Differential Equations

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Paperback | 1 December 1975

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292 Pages

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22.86 x 15.24 x 1.68

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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.

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations

Preface
Partial differential equations of the first order
Characteristics of equations of the second order
Boundary value and initial value problems
Equations of hyperbolic type
Reimann's method
The equation of wave motions
Marcel Riesz's method
Potential theory in the plane
Subharmonic functions and the problem of Dirichlet
Equations of elliptic type in the plane
Equations of elliptic type in space
The equation of heat
Appendix
Books for further reading
Index
Table of Contents provided by Publisher. All Rights Reserved.

Partial Differential Equations

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