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  1. Home
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  3. Partial Differential Equations
  • Cited by 64
Publisher:
Cambridge University Press
Online publication date:
October 2009
Print publication year:
1975
Online ISBN:
9780511569388
DOI:
https://doi.org/10.1017/CBO9780511569388
Subjects:
Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory
Information

Book description

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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