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An Introduction to Numerical Methods - A MATLABŪ Approach (Paperback, 3rd Edition)
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An Introduction to Numerical Methods - A MATLABŪ Approach (Paperback, 3rd Edition)
Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
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An Introduction to Numerical Methods: A MATLABŪ 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
Table of Contents
Chapter 1
Introduction
Chapter 2
Number System and Errors
Chapter 3
Roots of Equations
Chapter 4
System of Linear Equations
Chapter 5
Interpolation
Chapter 6
Interpolation with Spline Functions
Chapter 7
Approximation of Continuous Functions
Chapter 8
Numerical Optimization
Chapter 9
Numerical Differentiation
Chapter 10
Numerical Integration
Chapter 11
Numerical Methods for Linear Integral Equations
Chapter 12
Numerical Methods for Ordinary Differential Equations
Chapter 13
Boundary-Value Problems
Chapter 14
Eigenvalues and Eigenvectors
Chapter 15
Dynamical Systems and Chaos
Chapter 16
Partial Differential Equations
Chapter 17
Dealing with Large Sets of Data
Bibliography and References
Appendix A
Calculus Review
Appendix B
MATLAB Built-in Functions
Appendix C
Text MATLAB Functions
Appendix
D MATLAB GUI
Answers to Selected Exercises
Index
General
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