Advanced Engineering Mathematics with Mathematica

The book “Sophisticated Engineering Mathematics with Mathematica®” offers advanced analytical resolution techniques that can be employed to address boundary-value problems in engineering and integrates these techniques with Mathematica® procedures. It gives prominence to the Sturm–Liouville system and the production and application of orthogonal functions, which are utilized through the separation of variables method to solve partial differential equations. The text introduces the relevant aspects of complex variables, matrices and determinants, Fourier series and transforms, solution methods for ordinary differential equations, the Laplace transform, and techniques to render ordinary and partial differential equations non-dimensional in engineering. To illustrate the diverse applications of the material, numerous and extensively varied solved boundary value problems are presented.