Introduction to MATLAB with Numerical Preliminaries Book

	Preface	vii
Chapter 1	MATLAB Basics	1
1.1	What Is MATLAB?
1.2	Starting and Ending a MATLAB Session
1.3	A First MATLAB Tutorial
1.4	Vectors and an Introduction to MATLAB Graphics
1.5	A Tutorial Introduction to Recursion on MATLAB
Chapter 2	Basic Concepts of Numerical Analysis with Taylor's Theorem	23
2.1	What Is Numerical Analysis?
2.2	Taylor Polynomials
2.3	Taylor's Theorem
Chapter 3	Introduction to M-Files	45
3.1	What Are M-files?
3.2	Creating an M-file for a Mathematical Function
Chapter 4	Programming in MATLAB	57
4.1	Some Basic Logic
4.2	Logical Control Flow in MATLAB
4.3	Writing Good Programs
Chapter 5	Floating Point Arithmetic and Error Analysis	85
5.1	Floating Point Numbers
5.2	Floating Point Arithmetic: The Basics
5.3	Floating Point Arithmetic: Further Examples and Details
Chapter 6	Rootfinding	107
6.1	A Brief Account of the History of Rootfinding
6.2	The Bisection Method
6.3	Newton's Method
6.4	The Secant Method
6.5	Error Analysis and Comparison of Rootfinding Methods
Chapter 7	Matrices and Linear Systems	143
7.1	Matrix Operations and Manipulations with MATLAB
7.2	Introduction to Computer Graphics and Animation
7.3	Notations and Concepts of Linear Systems
7.4	Solving General Linear Systems with MATLAB
7.5	Gaussian Elimination, Pivoting, and LU Factorization
7.6	Vector and Matrix Norms, Error Analysis, and Eigendata
7.7	Iterative Methods
Appendix A	MATLAB's Symbolic Toolbox	285
Appendix B	Solutions to All Exercises for the Reader	293
	References	323
	MATLAB Command Index	327
	Index	329