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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Theory and Applications of Some New Classes of Integral Equations (Paperback, Softcover reprint of the original 1st ed. 1980)
Loot Price: R1,536
Discovery Miles 15 360
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Theory and Applications of Some New Classes of Integral Equations (Paperback, Softcover reprint of the original 1st ed. 1980)
Expected to ship within 10 - 15 working days
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This book is intended for &tudents, research engineers, and
mathematicians interested in applications or numerical analysis.
Pure analysts will also find some new problems to tackle. Most of
the material can be understood by a reader with a relatively modest
knowledge of differential and inte gral equations and functional
analysis. Readers interested in stochastic optimization will find a
new theory of prac tical . importance. Readers interested in
problems of static and quasi-static electrodynamics, wave
scattering by small bodies of arbitrary shape, and corresponding
applications in geophysics, optics, and radiophysics will find
explicit analytical formulas for the scattering matrix,
polarizability tensor, electrical capacitance of bodies of an
arbitrary shape; numerical examples showing the practical utility
of these formulas; two-sided variational estimates for the pol
arizability tensor; and some open problems such as working out a
standard program for calculating the capacitance and polarizability
of bodies of arbitrary shape and numerical calculation of multiple
integrals with weak singularities. Readers interested in nonlinear
vibration theory will find a new method for qualitative study of
stationary regimes in the general one-loop passive nonlinear
network, including stabil ity in the large, convergence, and an
iterative process for calculation the stationary regime. No
assumptions concerning the smallness of the nonlinearity or the
filter property of the linear one-port are made. New results in the
theory of nonlinear operator equations form the basis for the
study."
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