The Art of Modeling in Science and Engineering with Mathematica

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CRC Press, Aug 18, 2006 - Mathematics - 509 pages
Thoroughly revised and updated, The Art of Modeling in Science and Engineering with Mathematica, Second Edition explores the mathematical tools and procedures used in modeling based on the laws of conservation of mass, energy, momentum, and electrical charge. The authors have culled and consolidated the best from the first edition and
 

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Contents

A First Look at Modeling
1
Analytical Tools The Solution of Ordinary Differential Equations ...
37
The Use of Mathematica in Modeling Physical Systems ...
123
Elementary Applications of the Conservation Laws ...
139
Partial Differential Equations Classification Types and Properties Some Simple Transformations ...
237
Solution of Linear Systems by Superposition Methods ...
299
Vector Calculus Generalized Transport Equations ...
341
Analytical Solutions of Partial Differential Equations
419
Selected References
499
Index
503
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