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The Art Of Modeling In Science And Engineering With Mathematica

The Art Of Modeling In Science And Engineering With Mathematica

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  • ISBN:9781584884606
  • Editorial: Chapman & Hall Co.
  • Fecha de la edición:
  • Número de la edición: 2
  • Encuadernación:Tapa dura
  • Dimensiones: 0 cm x 0 cm
  • Nº Pág.:528
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"The Art of Modeling in Science and Engineering with Mathematica" helps readers overcome three common difficulties: the proper choice of model, the absence of precise solutions, and the need to make suitable simplifying assumptions and approximations. It covers a wide range of physical processes and phenomena drawn from various disciplines and clearly illuminates the link between the physical system being modeled and the mathematical expression that results. This second edition incorporates the use of Mathematica in various applications. It also includes new examples on HIV, the rate of carbon dioxide emission to the atmosphere, the manufacture of silicon chips, and the dynamics of hot air balloons and rockets.

Basic Features of Mathematical Models. The Mathematica Software, Description, and Application to Algebraic and Ordinary Differential Equations. Conservation of Mass and Mass Balance. Energy Balance. Force Balances. Simultaneous Mass, Energy, and Force Balances. Ordinary Differential Equations. The Laplace Transformation. Welcome to the Real World. Partial Differential Equations: Classification, Types and Properties, Some Simple Transformations. Vector Calculus: Generalized Transport Equations. Solution Methods for Partial Differential Equations.

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