There are many books on the use of numerical methods for solving
engineering problems and for modeling of engineering artifacts. In
addition there are many styles of such presentations ranging from
books with a major emphasis on theory to books with an emphasis on
applications. The purpose of this book is hopefully to present a
somewhat different approach to the use of numerical methods for -
gineering applications. Engineering models are in general nonlinear
models where the response of some appropriate engineering variable
depends in a nonlinear manner on the - plication of some
independent parameter. It is certainly true that for many types of
engineering models it is sufficient to approximate the real
physical world by some linear model. However, when engineering
environments are pushed to - treme conditions, nonlinear effects
are always encountered. It is also such - treme conditions that are
of major importance in determining the reliability or failure
limits of engineering systems. Hence it is essential than engineers
have a toolbox of modeling techniques that can be used to model
nonlinear engineering systems. Such a set of basic numerical
methods is the topic of this book. For each subject area treated,
nonlinear models are incorporated into the discussion from the very
beginning and linear models are simply treated as special cases of
more general nonlinear models. This is a basic and fundamental
difference in this book from most books on numerical methods.
General
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