ABSTRACT

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

chapter Chapter 1|22 pages

Introduction

chapter Chapter 2|18 pages

Number System and Errors

chapter Chapter 3|52 pages

Roots of Equations

chapter Chapter 4|59 pages

System of Linear Equations

chapter Chapter 5|28 pages

Interpolation

chapter Chapter 6|24 pages

Interpolation with Spline Functions

chapter Chapter 7|5 pages

Approximation of Continuous Functions

chapter Chapter 8|22 pages

Numerical Optimization

chapter Chapter 9|16 pages

Numerical Differentiation

chapter Chapter 10|44 pages

Numerical Integration

chapter Chapter 11|25 pages

Numerical Methods for Linear Integral Equations

chapter Chapter 12|74 pages

Numerical Methods for Ordinary Differential Equations

chapter Chapter 13|24 pages

Boundary-Value Problems

chapter Chapter 14|26 pages

Eigenvalues and Eigenvectors

chapter Chapter 15|38 pages

Dynamical Systems and Chaos

chapter Chapter 16|46 pages

Partial Differential Equations

chapter Chapter 17|24 pages

Dealing with Large Sets of Data