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 MATLABlinear equationsinterpolationzeros and rootsleast squaresquadratureordinary differential equationsFourier analysisrandom numberseigenvalues and singular valuesand 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.Read more
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