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For
many years, the subject of functional equations has held a prominent place in
the attention of mathematicians. In more recent years this attention has been
directed to a particular kind of functional equation, an integral equation,
wherein the unknown function occurs under the integral sign. The study of this
kind of equation is sometimes referred to as the inversion of a definite
integral.While scientists and engineers can already choose from a number of books
on integral equations, this new book encompasses recent developments
including some preliminary backgrounds of formulations of integral equations
governing the physical situation of the problems. It also contains elegant
analytical and numerical methods, and an important topic of the variational
principles. Primarily intended for senior undergraduate students and first year
postgraduate students of engineering and science courses, students of
mathematical and physical sciences will also find many sections of direct
relevance.The book contains eight chapters, pedagogically organized. It
is specially designed for those who wish to understand integral equations
without having extensive mathematical background. Some knowledge of integral
calculus, ordinary differential equations, partial differential equations,
Laplace transforms, Fourier transforms, Hilbert transforms, analytic functions
of complex variables and contour integrations are expected on the part of the
reader.
Auteur
: M. Rahman
Edition : WIT Press Pages:385 Format: pdf Language:English
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