Numerical Computing with MATLAB

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 (http://www.mathworks.com/moler) 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. "Numerical Computing with Matlab is a 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. Many of the more than 200 exercises involve modifying and extending these programs."--BOOK JACKET. Preface......Page 1 1. Introduction to MATLAB......Page 6 2. Linear Equations......Page 61 3. Interpolation......Page 104 4. Zeros and Roots......Page 131 5. Least Squares......Page 156 6. Quadrature......Page 183 7. Ordinary Differential Equations......Page 204 8. Fourier Analysis......Page 257 9. Random Numbers......Page 278 10. Eigenvalues and Singular Values......Page 293 11. Partial Differential Equations......Page 332