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Linear and Boundary Integral Equations (Hardcover)
Loot Price: R2,817
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Linear and Boundary Integral Equations (Hardcover)
Series: Encyclopaedia of Mathematical Sciences, Vol 27
Expected to ship within 12 - 17 working days
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The first part of this volume is a survey of the current state of
the theory of linear integral equations. Material from abstract
operator theory is presented first, before moving on to a detailed
discussion of Fredholm operators and estimates for the eigenvalues
and singular numbers of integral operators. Other sections of this
part are devoted to the theories of one-, and higher-dimensional
singular operators. The second part of the volume concentrates on
theoretical aspects of the boundary integral equation method, with
particular emphasis on the results for equations on non-smooth
surfaces obtained during the last few years. A survey of the
classical theory of harmonic potentials and the boundary integral
equations on smooth surfaces generated by such potentials is given
and the theory is then extended to elastic and hydrodynamic
potentials and to other problems of mathematical physics, including
the oblique derivative problem, the biharmonic equation, the heat
and wave equations and viscoelasticity.
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