Numerical Computing with MATLAB is a lively textbook for an introductory course in numerical methods, MATLAB and technical computing.
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'Moler ... tailors his book as a set of discrete and easy to read chapters explaining and depicting the power of MATLAB. [The book] demonstrates to the reader, student or professional users, what is possible in MATLAB in easy to swallow bites, yet preserving the power and elegance of the software. ... Moler does an outstanding job covering the sweet-spot between mathematics and computer science using MATLAB. He demonstrates throughout his book the power and the flexibility of the software application, and how it can be used to make a scientist's job easier.' Art Seddighi, MAA Reviews
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.
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