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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Mechanics and Dynamical Systems with Mathematica (R) (Hardcover, 2000 ed.)
Loot Price: R1,536
Discovery Miles 15 360
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Mechanics and Dynamical Systems with Mathematica (R) (Hardcover, 2000 ed.)
Series: Modeling and Simulation in Science, Engineering and Technology
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Modeling and Applied Mathematics Modeling the behavior of real
physical systems by suitable evolution equa tions is a relevant,
maybe the fundamental, aspect of the interactions be tween
mathematics and applied sciences. Modeling is, however, only the
first step toward the mathematical description and simulation of
systems belonging to real world. Indeed, once the evolution
equation is proposed, one has to deal with mathematical problems
and develop suitable simula tions to provide the description of the
real system according to the model. Within this framework, one has
an evolution equation and the re lated mathematical problems
obtained by adding all necessary conditions for their solution.
Then, a qualitative analysis should be developed: this means proof
of existence of solutions and analysis of their qualitative be
havior. Asymptotic analysis may include a detailed description of
stability properties. Quantitative analysis, based upon the
application ofsuitable methods and algorithms for the solution of
problems, ends up with the simulation that is the representation of
the dependent variable versus the independent one. The information
obtained by the model has to be compared with those deriving from
the experimental observation of the real system. This comparison
may finally lead to the validation of the model followed by its
application and, maybe, further generalization."
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