This book presents numerical and other approximation techniques for
solving various types of mathematical problems that cannot be
solved analytically. In addition to well known methods, it contains
some non-standard approximation techniques that are now formally
collected as well as original methods developed by the author that
do not appear in the literature. This book contains an extensive
treatment of approximate solutions to various types of integral
equations, a topic that is not often discussed in detail. There are
detailed analyses of ordinary and partial differential equations
and descriptions of methods for estimating the values of integrals
that are presented in a level of detail that will suggest
techniques that will be useful for developing methods for
approximating solutions to problems outside of this text. The book
is intended for researchers who must approximate solutions to
problems that cannot be solved analytically. It is also appropriate
for students taking courses in numerical approximation techniques.
General
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