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Full Description
The electronic component of the book is based on the widely used and highly praised Mathematica software package.
Each chapter of the bookis a Mathematica notebook with links to web-based material.
The methods are applied to a range of problems taken from physics and engineering.
The book covers elementary and advaned numerical methods used in modern scientific computing.
Contents
Preface. 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.