Introduction To Numerical Analysis Using Matlab

Designed for both courses in numerical analysis and as a reference for practicing engineers and scientists, this book first presents the theoretical concepts of numerical analysis and then the practical justification of these methods are demonstrated through computer examples with the latest version of MATLAB. The book addresses a variety of questions ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations, with particular emphasis on the stability, accuracy, efficiency and reliability of numerical algorithms. The CD-ROM which accompanies the book includes source code, executables, third party software applications, and simulations.

FEATURES

• Presents each numerical method by first providing examples and geometric motivation, then the steps to perform the computation, and finally the mathematical derivation of the process
• Provides short programs in MATLAB that can be used for scientific applications with or without modifications
• Shows the visual representation of mathematical concepts in 2D graphics and is compatible with the current MATLAB v.7.4.
• Accompanied by a CD-ROM featuring source code, executables, figures, and simulations
• Includes an introduction to MATLAB commands
• Features an Instructor?s Resource Disc for use as a textbook

Table Of Contents :
1. Number System and Errors
2. Solutions of Nonlinear Equations
3. Systems of Linear Equations
4. Approximating Functions
5. Differentiation and Integration
6. Ordinary Differential Equations
7. Eigenvalues and Eigenvectors

Appendics
A Some Mathematical Preliminaries
B Introduction to MATLAB
C Index of MATLAB Programs
D Symbolic Computation
E Answers to Selected Exercises
F About the CD-ROM
Bibliography
Index
About Author :
Rizwan Butt holds a Ph.D. from the University of Leeds, and currently he is an associate professor at the King Saud University(Saudi Arabia). He has written approximately 20 articles in prestigious research journals in the US, UK, and Germany.FIN-2968