文档介绍：Preface
puting with MATLAB is a textbook for an introductory course
in numerical methods, Matlab, and puting. The emphasis is on in-
formed use of mathematical software. We want you learn enough about the mathe-
matical 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 and roots,
• least squares,
• quadrature,
• ordinary differential equations,
• random numbers,
• Fourier analysis,
• eigenvalues and singular values,
• partial differential equations.
e 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-
files, 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 puter graphics, including interactive graphical expositions of numerical
algorithms.
The prerequisites for the course, and the book, include
February 15, 2008
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2 Preface
• calculus,
• some familiarity with ordinary differential equations,
• some familiarity with matrices,
• puter programming experience.
If you’ve never used Matlab before, the first chapter will help you get started. If
you’re already familiar with Matlab, you can glance over most of the first chapter
quickly. Everyone should read the section in the first chapter about floating-point
arithmetic.
There is probably too much material here for a one-quarter or one-semester
course. Plan to cover the first several chapters and then choose the portions of the
last four chapters that interest you.
Make sure that the NCM col