Dubin D. Numerical and Analytical Methods for Scientists and Engineers Using Mathematica

John Wiley & Sons, 2003. - 647 p.This text is designed for advanced undergraduate and graduate students in the physical and engineering sciences as well as for professionals. It offers a comprehensive Mathematica-based guide to the analytical and numerical methods used every day by working scientists and engineers and includes many exercises and worked examples.- Ordinary Differential Equations in the Physical Sciences.
- Fourier Series and Transforms.
- Introduction to Linear Partial Differential Equations.
- Eigenmode Analysis.
- Partial Differential Equations in Infinite Domains.
- Numerical Solution of Linear Partial Differential Equations.
- Nonlinear Partial Differential Equations.
- Introduction to Random Processes.
- An Introduction to Mathematica (electronic version only).
- Appendix: Finite-Differenced Derivatives.