Magrab‘s Advanced Engineering Mathematics with Mathematica®, (PDF) provides advanced analytical solution methods that are used to solve boundary-value problems in engineering and combines these methods with Mathematica procedures. It stresses 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 presents the relevant aspects of complex variables, matrices and determinants, solution techniques for ordinary differential equations, Fourier series and transforms, the Laplace transform, and procedures to make partial and ordinary differential equations used in engineering non-dimensional. To demonstrate the diverse applications of the material, various and widely varied solved boundary value problems are presented.
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