Advanced Engineering Mathematics with Mathematica (R) presents
advanced analytical solution methods that are used to solve
boundary-value problems in engineering and integrates these methods
with Mathematica (R) procedures. It emphasizes the Sturm-Liouville
system and the generation and application of orthogonal functions,
which are used by the separation of variables method to solve
partial differential equations. It introduces the relevant aspects
of complex variables, matrices and determinants, Fourier series and
transforms, solution techniques for ordinary differential
equations, the Laplace transform, and procedures to make ordinary
and partial differential equations used in engineering
non-dimensional. To show the diverse applications of the material,
numerous and widely varied solved boundary value problems are
presented.
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