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Modeling and Simulation have become endeavors central to all
disciplines of science and engineering. They are used in the
analysis of physical systems where they help us gain a better
understanding of the functioning of our physical world. They are
also important to the design of new engineering systems where they
enable us to predict the behavior of a system before it is ever
actually built. Modeling and simulation are the only techniques
available that allow us to analyze arbitrarily non-linear systems
accurately and under varying experimental conditions. Continuous
System Modeling introduces the student to an important subclass of
these techniques. They deal with the analysis of systems described
through a set of ordinary or partial differential equations or
through a set of difference equations. This volume introduces
concepts of modeling physical systems through a set of differential
and/or difference equations. The purpose is twofold: it enhances
the scientific understanding of our physical world by codifying
(organizing) knowledge about this world, and it supports
engineering design by allowing us to assess the consequences of a
particular design alternative before it is actually built. This
text has a flavor of the mathematical discipline of dynamical
systems, and is strongly oriented towards Newtonian physical
science.
Modeling and Simulation have become endeavors central to all disciplines of Science and Engineering. They are used in the analysis of physical systems where they help us gain a better understanding of the functioning of our physical world. They are also important to the design of new engineering systems where they enable us to predict the behavior of a system before it is ever actually built. Modeling and Simulation are the only techniques available that allow us to analyze arbitrarily non-linear sys- tems accurately and under varying experimental conditions. Modeling and Simulation of Continuous Systems introduces the student to an important subclass of these techniques. They deal with the analysis of systems described through a set of ordinary or partial differential equations or through a set of difference equations. This volume introduces concepts of modeling physical systems through a set of differential and/or difference equations. The purpose is twofold: it enhances the scientific understanding of our physical world by codifying (organizing) knowledge about this world, and it supports engineering design by allowing us to assess the consequences of a particular design alternative before it is actually built. This text has a flavor of the mathematical discipline of dynamical systems, and is strongly oriented towards Newtonian physical science.
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