Integral Equations by Smithies

Integral Equations by Smithies

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Summary

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.

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Integral Equations by Smithies

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 ß2 kernels, Hermitian kernels, singular functions and singular values.
SKU Unavailable
ISBN 13 9780521100038
ISBN 10 0521100038
Title Integral Equations
Author Smithies
Series Cambridge Tracts In Mathematics
Condition Unavailable
Binding Type Paperback
Publisher Cambridge University Press
Year published 2009-01-18
Number of pages 188
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable