Numerical Computing with MATLAB: Revised Reprint
SIAM, 12.08.2010 - 336 Seiten
This is a lively textbook for an introductory course in numerical methods, MATLAB, and technical computing, which emphasises the informed use of mathematical software.?Numerical Computing with MATLAB?helps readers learn about the mathematical functions in?MATLAB, how to appreciate their limitations, and how to use and modify them appropriately. The book makes extensive use of computer graphics, and 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 theory can be adapted to apply to 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 book will appeal to advanced undergraduate and beginning graduate students in science and engineering. This revision includes changes and corrections made since the book was originally published in 2004.
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accuracy algorithm approximation axis backslash operator behavior bisection coefficients column components condition number diagonal digits discretization error eigenfunctions eigenvalues eigenvectors elements evaluated example factor FFTs of length Fibonacci Figure finite floating-point arithmetic floating-point numbers Gaussian elimination golden ratio graph heat equation Hermite interpolation initial condition initial value integral interpolation interval inverse involves iteration least squares linear equations linear system M-file magic square mathematical MATLAB MATLAB function Modify multiple Newton’s method nonlinear nonzero norm ode23tx ordinary differential equation output PageRank parameters pchip perturbation piecewise cubic pivoting plot points Poisson problem polynomial problem produces pseudoinverse quadrature quadtx random number result roundoff error secant sequence singular values slopes solve sparse specified spline statement step Symbolic Toolbox tolerance trapezoid rule triangular triangular matrix variable vector zero