Introduction to Numerical Analysis and Scientific Computing

BOCA RATON, Fla. - Aug. 29, 2013 - PRLog -- Designed for a one-semester course on the subject, this classroom-tested text presents fundamental concepts of numerical mathematics and explains how to implement and program numerical methods. Drawing on their years of teaching students in mathematics, engineering, and the sciences, the authors cover floating-point number representations, nonlinear equations, linear algebra concepts, the Lagrange interpolation theorem, numerical differentiation and integration, and ODEs. They also focus on the implementation of the algorithms using MATLAB^®.

Book Features
- Explains how computer arithmetic is a source for generating round-off errors
Presents iterative methods for obtaining accurate approximations to roots of nonlinear equations
- Covers numerical linear algebra concepts, the Lagrange interpolation theorem, and formulae for numerical differentiation and integration
- Illustrates the solution of ODEs using Runge-Kutta methods
- Expresses each numerical method using either pseudo-code or a detailed MATLAB program
- Includes a large number of exercises and several computer projects

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ISBN 9781466589483, August 5, 2013, 329pp