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E-raamat: Introduction to Numerical Methods: A MATLAB(R) Approach

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(Department of Mathematics, Abu Dhabi University, United Arab Emirates),
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An Introduction to Numerical Methods: A MATLAB® Approach, Fifth Edition continues to offer readers an accessible and practical introduction to numerical analysis. It presents a wide range of algorithms for scientific and engineering applications, using MATLAB to illustrate each numerical method.



An Introduction to Numerical Methods: A MATLAB® Approach, Fifth Edition continues to offer readers an accessible and practical introduction to numerical analysis. It presents a wide range of useful and important algorithms for scientific and engineering applications, using MATLAB to illustrate each numerical method with full details of the computed results so that the main steps are easily visualized and interpreted. This edition also includes new chapters on Approximation of Continuous Functions and Dealing with Large Sets of Data.

Features:

  • Covers the most common numerical methods encountered in science and engineering
  • Illustrates the methods using MATLAB
  • Ideal as an undergraduate textbook for numerical analysis
  • Presents numerous examples and exercises, with selected answers provided at the back of the book
  • Accompanied by downloadable MATLAB code hosted at https/www.routledge.com/9781032406824

Arvustused

Praise for Previous Editions

"Kharab and Guenther offer an attractive, clear, error-free, and well-written introduction to numerical methods Highly recommended." J.H. Ellison, CHOICE "Overall, this is one of the best numerical methods book that I have come across. I strongly recommend it to be used for any undergraduate introductory course in numerical analysis for science and engineering students." Jamal Benbourenane, Abu Dhabi University

1. Introduction
2. Number System and Errors
3. Roots of Equations
4.
System of Linear Equations
5. Interpolation
6. Interpolation with Spline
Functions
7. Approximation of Continuous Functions
8. Numerical Optimization
9. Numerical Dierentiation
10. Numerical Integration
11. Numerical Methods
for Linear Integral Equations
12. Numerical Methods for Ordinary Dierential
Equations
13. Boundary-Value Problems
14. Eigenvalues and Eigenvectors
15.
Dynamical Systems and Chaos
16. Partial Dierential Equations
17. Dealing
with Large Sets of Data
Abdelwahab Kharab is an Associate Professor in the College of Natural and Health Sciences at Zayed University. His research interests include numerical analysis and simulation for the numerical solution of partial differential equations that arise in science and engineering.

Ronald B. Guenther is an Emeritus Professor in the Department of Mathematics at Oregon State University. His research interests include mathematically modeling deterministic systems and the ordinary and partial differential equations that arise from these models.
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