Cover of Integral Equations by Smithies, Smithies, F., Smithies, Smithies, ISBN 9780521100038
Abstract

Integral Equations

INTEGRAL EQUATIONS

Contributor(s): Author , Author , Author Format: Paperback

Paperback Β· ISBN 9780521100038

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Key Specifications

ISBN 9780521100038
Subtitle INTEGRAL EQUATIONS
Publisher Cambridge University Press
Publication date January 2009
Language English
MRP Β£47.00 GBP
Page count 188
Item weight 54 g

This 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 2 kernels, Hermitian kernels, singular functions and singular values.