Description
Book SynopsisThis book is written from the perspective of a physicist, not a mathematician, with an emphasis on modern practical applications in the physical and engineering sciences. The book itself is essentially software, written in the language of Mathematica, the widely used and highly praised Mathematica software package.
Trade Review"...a very valuable addition to the literature of the field..." (
Zentralblatt Math, Vol. 1029, 2004)
"...offers a comprehensive Mathematica-based guide to the analytical and numerical methods used every day...includes many exercises and worked examples..." (The Mathematica Journal, Vol. 9 No. 1)
Table of ContentsPreface.
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.
Index.
