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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Integral Equations - Theory and Numerical Treatment (Hardcover, 1995 ed.)
Loot Price: R3,093
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Integral Equations - Theory and Numerical Treatment (Hardcover, 1995 ed.)
Series: International Series of Numerical Mathematics, 120
Expected to ship within 10 - 15 working days
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The theory of integral equations has been an active research field
for many years and is based on analysis, function theory, and
functional analysis. On the other hand, integral equations are of
practical interest because of the -boundary integral equation
method-, which transforms partial differential equations on a
domain into integral equations over its boundary. This book grew
out of a series of lectures given by the author at the
Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu
Kiel to students of mathematics. The contents of the first six
chapters correspond to an intensive lecture course of four hours
per week for a semester. Readers of the book require background
from analysis and the foundations of numeri cal mathematics.
Knowledge of functional analysis is helpful, but to begin with some
basic facts about Banach and Hilbert spaces are sufficient. The
theoretical part of this book is reduced to a minimum; in Chapters
2, 4, and 5 more importance is attached to the numerical treatment
of the integral equations than to their theory. Important parts of
functional analysis (e. g., the Riesz-Schauder theory) are
presented without proof. We expect the reader either to be already
familiar with functional analysis or to become motivated by the
practical examples given here to read a book about this topic. We
recall that also from a historical point of view, functional
analysis was initially stimulated by the investigation of integral
equations."
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