Thoroughly revised and updated, The Art of Modeling in Science and
Engineering with "Mathematica(R)," 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 expanded the range of applied examples to reach a
wider audience. The text proceeds, in measured steps, from simple
models of real-world problems at the algebraic and ordinary
differential equations (ODE) levels to more sophisticated models
requiring partial differential equations. The traditional solution
methods are supplemented with "Mathematica," which is used
throughout the text to arrive at solutions for many of the problems
presented.
The text is enlivened with a host of illustrations and practice
problems drawn from classical and contemporary sources. They range
from Thomson's famous experiment to determine e/m and Euler's model
for the buckling of a strut to an analysis of the propagation of
emissions and the performance of wind turbines. The mathematical
tools required are first explained in separate chapters and then
carried along throughout the text to solve and analyze the models.
Commentaries at the end of each illustration draw attention to the
pitfalls to be avoided and, perhaps most important, alert the
reader to unexpected results that defy conventional wisdom.
These features and more make the book the perfect tool for
resolving three common difficulties: the proper choice of model,
the absence of precise solutions, and the need to make suitable
simplifying assumptions and approximations. The book covers a wide
range ofphysical processes and phenomena drawn from various
disciplines and clearly illuminates the link between the physical
system being modeled and the mathematical expression that
results.
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