Integral Equations (Cambridge Tracts in Mathematics, Series Number 49)
ISBN-13:
9780521100038
ISBN-10:
0521100038
Edition:
Reissue
Author:
Smithies
Publication date:
2009
Publisher:
Cambridge University Press
Format:
Paperback
188 pages
Category:
Applied
,
Mathematics
FREE US shipping
Book details
ISBN-13:
9780521100038
ISBN-10:
0521100038
Edition:
Reissue
Author:
Smithies
Publication date:
2009
Publisher:
Cambridge University Press
Format:
Paperback
188 pages
Category:
Applied
,
Mathematics
Summary
Integral Equations (Cambridge Tracts in Mathematics, Series Number 49) (ISBN-13: 9780521100038 and ISBN-10: 0521100038), written by authors
Smithies, was published by Cambridge University Press in 2009.
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Description
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.
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