Sinopsis
Numerical Computing with MATLAB is a textbook for an introductory course in numerical methods, Matlab, and technical computing. The emphasis is on informed use of mathematical software. We want you to learn enough about the mathematical functions in MATLAB that you will be able to use them correctly, appreciate their limitations, and modify them when necessary to suit your own needs. The topics include:
- introduction to MATLAB
- linear equations
- interpolation
- zero ¯nding
- least squares
- quadrature
- ordinary di®erential equations
- random numbers
- Fourier analysis
- eigenvalues and singular values
- partial di®erential equations
George Forsythe initiated a software-based numerical methods course at Stan- ford University in the late 1960s. The textbooks by Forsythe, Malcolm, and Moler [1] and Kahaner, Moler, and Nash [2] that evolved from the Stanford course were based upon libraries of Fortran subroutines.
This textbook is based upon MATLAB. NCM, a collection of over 70 M- ¯les, forms an essential part of the book. Many of the over 200 exercises involve modifying and extending the programs in NCM. The book also makes extensive use of computer graphics, including interactive graphical expositions of numerical algorithms.
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