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  3. Partial Differential Equations
  • Cited by 66
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    • Publisher:
      Cambridge University Press
      Publication date:
      October 2009
      October 1975
      ISBN:
      9780511569388
      9780521098939
      DOI:
      https://doi.org/10.1017/CBO9780511569388
      Dimensions:
      Weight & Pages:
      Dimensions:
      (229 x 152 mm)
      Weight & Pages:
      0.97kg, 292 Pages
      • Subjects:
      Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory
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    Subjects:
    Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory
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    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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