This textbook for an introductory course in numerical methods aims to help students understand enough about the mathematical functions in MATLAB software to use them correctly, appreciate their limitations, and modify them appropriately. Topics covered include linear equations; interpolation; zeros and roots; least squares; ordinary differential equations; eigenvalues and singular values; and partial differential equations. Moler, who works in the computer industry, was a professor of mathematics and computer science for nearly 20 years. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)
Numerical Computing with MATLAB is a lively textbook for an introductory course in numerical methods, MATLAB and technical computing.
This is a lively textbook for an introductory course in numerical methods, MATLAB, and technical computing, with an emphasis on the informed use of mathematical software. The presentation helps readers learn enough about the mathematical functions in MATLAB to use them correctly, appreciate their limitations, and modify them appropriately. The book makes extensive use of computer graphics, including interactive graphical expositions of numerical algorithms. It provides more than 70 M-files, which can be downloaded from the text Web site www.mathworks.com/moler. Many of the numerous exercises involve modifying and extending these programs. The topics covered include an introduction to MATLAB; linear equations; interpolation; zeros and roots; least squares; quadrature; ordinary differential equations; Fourier analysis; random numbers; eigenvalues and singular values; and partial differential equations. Motivating applications include modern problems from cryptography, touch-tone dialing, Google page-ranking, atmospheric science and image processing, as well as classical problems from physics and engineering.
