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Title Information
Numerical Computing with Matlab is a lively textbook for an introductory course in numerical methods, Matlab, and technical computing. The emphasis is on the informed use of mathematical software; in particular, 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 more than 200 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.
This 2008 revision includes changes and corrections made since the book was originally published in 2004.
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 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 finding,
• least squares,
• quadrature,
• ordinary differential equations,
• random numbers,
• Fourier analysis,
• eigenvalues and singular values,
• partial differential equations.
George Forsythe initiated a software-based numerical methods course at Stanford University in the late 1960s. The textbooks by Forsythe, Malcolm, and Moler [20] and Kahaner, Moler, and Nash [34] 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 of computer graphics, including interactive graphical expositions of numerical algorithms.
