Numerical analysis is the branch of mathematics concerned with the theoretical foundations of numerical algorithms for the solution of problems arising in scientific applications. Designed for courses in numerical analysis and as a reference for practicing engineers and scientists, this book presents the theoretical concepts of numerical analysis and the practical justification of these methods 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, a numerical toolbox, executables, 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.7.5. *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 BRIEF TABLE OF CONTENTS 1. Number Systems and Errors. 2. Nonlinear Equations. 3. Systems of Linear Equations. 4. Approximating Functions. 5. Numerical Differentiation and Integration. 6. Ordinary Differential Equations. 7. The Eigenvalue problems. Appendix A. Mathematical Preliminaries. B. Introduction to MATLAB.
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About the Author
Rizwan Butt received his PhD in mathematics at the University of Leeds and currently teaches numerical analysis at King Saud University. He is a reviewer for the American Mathematical Society and has published several articles in international journals.
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1 of 1 people found the following review helpful:
5.0 out of 5 stars
An outstanding reference.,
By Midwest Book Review (Oregon, WI USA) - See all my reviews
This review is from: Introduction To Numerical Analysis Using MATLAB with CD-ROM(Mathematics) (Computer Science) (Hardcover)
College-level courses strong in numerical analysis as well as those catering to engineers and scientists will appreciate this introduction: the first to present the theory of numerical analysis and the practical justifications of methodology using the latest version of MATLAB. This will also make a fine college-level text for primary or supplemental reading: it provides short programs in MATLAB to be used for scientific applications, surveys MATLAB commands and processes, includes a CD-ROM featuring source code and simulations, and reinforces theory with applications. An outstanding reference.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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approximating functions, nonlinear shooting method, shifted inverse power method, relative error modulus, compute the actual error, best maximum value, compute the absolute error, using iterative formula, second elimination step, augmented matrix form, error bound formula, using backward substitution, possible maximum error, first elimination step, symmetric tridiagonal form, nonlinear least squares approximation, false position method, kth decimal, forward elimination step, compute the error bounds, numerical differentiation formulas, divided differences table, divided difference table, secant method, symmetric tridiagonal matrix Key Phrases - Capitalized Phrases (CAPs): (learn more)
Numerical Analysis Using, Systems of Linear Equations, Solutions of Nonlinear Equations, Ordinary Differential Equations, Solve Problem, Modified Euler, Solution of Example, Use Newton, Repeat Problem, Use Aitken, Intermediate Value Theorem, Fixed-Point Theorem, Use the Gauss, Runge Kutta, Find the Newton, Rounding-off Errors, Use Muller, Apply Aitken, Use the Newton, Use the Stirling, Use the Milne-Simpson, Use the Runge-Kutta, Use the Sturm, Use Given Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
approximating functions, nonlinear shooting method, shifted inverse power method, relative error modulus, compute the actual error, best maximum value, compute the absolute error, using iterative formula, second elimination step, augmented matrix form, error bound formula, using backward substitution, possible maximum error, first elimination step, symmetric tridiagonal form, nonlinear least squares approximation, false position method, kth decimal, forward elimination step, compute the error bounds, numerical differentiation formulas, divided differences table, divided difference table, secant method, symmetric tridiagonal matrix Key Phrases - Capitalized Phrases (CAPs): (learn more)
Numerical Analysis Using, Systems of Linear Equations, Solutions of Nonlinear Equations, Ordinary Differential Equations, Solve Problem, Modified Euler, Solution of Example, Use Newton, Repeat Problem, Use Aitken, Intermediate Value Theorem, Fixed-Point Theorem, Use the Gauss, Runge Kutta, Find the Newton, Rounding-off Errors, Use Muller, Apply Aitken, Use the Newton, Use the Stirling, Use the Milne-Simpson, Use the Runge-Kutta, Use the Sturm, Use Given Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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