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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