By (author) Frank Smithies
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Integral Equations by Frank Smithies
Book DescriptionThis tract is devoted to the theory of linear equations, mainly of the second kind, associated with the names of Volterra, Fredholm, Hilbert and Schmidt. The treatment has been modernised by the systematic use of the Lebesgue integral, which considerably widens the range of applicability of the theory. Special attention is paid to the singular functions of non-symmetric kernels and to obtaining as strong results as possible for the convergence of the expansions in infinite series. References are given to work on numerical methods of solution. Individual chapters deal with the resolvent kernel and the Neumann series, the Fredholm theorems, orthonormal systems of functions, the classical Fredholm theory, the Fred-holm formulae for ss2 kernels, Hermitian kernels, singular functions and singular values.
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Book DetailsISBN: 9780521100038
(216mm x 140mm x 11mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 18-Jan-2009
Country of Publication: United Kingdom
Books By Author Frank Smithies
Cauchy and the Creation of Complex Function Theory, Paperback (July 2008)» View all books by Frank Smithies
Dr Smithies analyses the process whereby Cauchy created the basic structure of complex function theory.
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