Advanced Engineering Mathematics with Mathematica

Edward B. Magrab is Emeritus Professor in the Department of Mechanical Engineering at the University of Maryland at College Park. He has extensive experience in analytical and experimental analysis of vibrations and acoustics, served as an engineering consultant to numerous companies, and authored or coauthored a number of books on vibrations, noise control, instrumentation, integrated product design, and Mathematica®. He is a Life Fellow of the American Society of Mechanical Engineers.

• 1. Matrices, Determinants, and Systems of Equations 2. Introduction to Complex Variables 3. Fourier Series and Fourier Transforms 4. Ordinary Differential Equations Part I: Review of First- and Second-Order Equations 5. Ordinary Differential Equations Part II: Power Series Solutions 6. Ordinary Differential Equations Part III: Sturm–Liouville Equation 7. Partial Differential Equations 8. Laplace Transforms 9. Putting It All Together—Examples from the Literature