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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Boundary Integral Equations (Paperback, 2nd ed. 2021)
Loot Price: R5,235
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Boundary Integral Equations (Paperback, 2nd ed. 2021)
Series: Applied Mathematical Sciences, 164
Expected to ship within 10 - 15 working days
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This is the second edition of the book which has two additional new
chapters on Maxwell's equations as well as a section on properties
of solution spaces of Maxwell's equations and their trace spaces.
These two new chapters, which summarize the most up-to-date results
in the literature for the Maxwell's equations, are sufficient
enough to serve as a self-contained introductory book on the modern
mathematical theory of boundary integral equations in
electromagnetics. The book now contains 12 chapters and is divided
into two parts. The first six chapters present modern mathematical
theory of boundary integral equations that arise in fundamental
problems in continuum mechanics and electromagnetics based on the
approach of variational formulations of the equations. The second
six chapters present an introduction to basic classical theory of
the pseudo-differential operators. The aforementioned corresponding
boundary integral operators can now be recast as
pseudo-differential operators. These serve as concrete examples
that illustrate the basic ideas of how one may apply the theory of
pseudo-differential operators and their calculus to obtain
additional properties for the corresponding boundary integral
operators. These two different approaches are complementary to each
other. Both serve as the mathematical foundation of the boundary
element methods, which have become extremely popular and efficient
computational tools for boundary problems in applications. This
book contains a wide spectrum of boundary integral equations
arising in fundamental problems in continuum mechanics and
electromagnetics. The book is a major scholarly contribution to the
modern approaches of boundary integral equations, and should be
accessible and useful to a large community of advanced graduate
students and researchers in mathematics, physics, and engineering.
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