Getting Started with MATLAB 7th Edition By Rudra Pratap ISBN 0190602066 978-0190602062

1. Introduction

1.1 What Is MATLAB?

1.2 Does MATLAB Do Symbolic Calculations?

1.3 Will MATLAB Run on My Computer?

1.4 Where Do I Get MATLAB?

1.5 How Do I Use This Book?

1.6 Basics of MATLAB

1.6.1 MATLAB windows

1.6.2 On-line help

1.6.3 Input-output

1.6.4 File types

1.6.5 Platform dependence

1.6.6 General commands you should remember

1.7 Visit This Again

2. Tutorial Lessons

The Basics

2.1 Lesson 1: A Minimum MATLAB Session

2.2 Lesson 2: Creating and Working with Arrays of Numbers

2.3 Lesson 3: Creating and Printing Simple Plots

2.4 Lesson 4: Creating, Saving, and Executing a Script File

2.5 Lesson 5: Creating and Executing a Function File

Directional Explorations

2.6 Lesson 6: Working with Arrays and Matrices

2.7 Lesson 7: Working with Anonymous Functions

2.8 Lesson 8: Importing and Exporting Data

2.9 Lesson 9: Working with Files and Directories

2.10 Lesson 10: Publishing Reports

2.11 Lesson 11: Symbolic Computation

3. Interactive Computation

3.1 Matrices and Vectors

3.1.1 Input

3.1.2 Indexing (or subscripting)

3.1.3 Matrix manipulation

3.1.4 Utility matrices

3.1.5 Creating vectors with linspace and logspace

3.2 Matrix and Array Operations

3.2.1 Arithmetic operations

3.2.2 Relational operations

3.2.3 Logical operations

3.2.4 Elementary math functions

3.2.5 Matrix functions

3.3 Character Strings

3.3.1 Manipulating character strings

3.3.2 The eval function

3.4 A Special Note on Array Operations

3.4.1 Vectorization

3.5 Command-Line Functions

3.5.1 Anonymous functions

3.6 Using Built-in Functions and On-line Help

3.6.1 Example 1: Finding the determinant of a matrix

3.6.2 Example 2: Finding eigenvalues and eigenvectors

3.7 Saving and Loading Data

3.7.1 Saving into and loading from the binary Mat-files

3.7.2 Importing data files

3.7.3 Recording a session with diary

3.8 Plotting Simple Graphs

3.9 Fun with Functions Using funtool

4. Programming in MATLAB: Scripts and Functions

4.1 Script Files

4.2 Function Files

4.2.1 Executing a function

4.2.2 More on functions

4.2.3 MATLAB code analyzer

4.2.4 Subfunctions

4.2.5 Nested functions

4.2.6 Compiled (parsed) functions: The p-code

4.2.7 The profiler

4.3 Language-specific Features

4.3.1 Use of comments to create on-line help

4.3.2 Continuation

4.3.3 Global variables

4.3.4 Loops, branches, and control-flow

4.3.5 Interactive input

4.3.6 Recursion

4.3.7 Input/output

4.4 Advanced Data Objects

4.4.1 Multidimensional matrices

4.4.2 Structures

4.4.3 Cells

4.4.4 Tables

4.5 Publishing Reports

5. Graphics

5.1 Basic 2-D Plots

5.1.1 Style options

5.1.2 Labels, title, legend, and other text objects

5.1.3 Axis control, zoom in, and zoom out

5.1.4 Modifying plots with the plot editor

5.1.5 Overlay plots

5.1.6 Using subplot for Multiple Graphs

5.1.7 Specialized 2-D plots

5.2 3-D Plots

5.2.1 Mesh and surface plots

5.2.2 View

5.2.3 Rotate view

5.2.4 Vector field and volumetric plots

5.2.5 Interpolated surface plots

5.3 Handle Graphics

5.3.1 The object hierarchy

5.3.2 Object handles

5.3.3 Object properties

5.3.4 Modifying an existing plot

5.3.5 Complete control over the graphics layout

5.4 Fun with 3-D Surface Graphics

5.4.1 Generating a cylindrical surface

5.4.2 Face color, transparency, and light reflection

5.4.3 A little more fun with color and lighting

5.4.4 A word about choosing colors

5.5 Saving and Printing Graphs

5.5.1 Saving graphs to reusable files

5.6 Animation

5.6.1 Dynamic data plotting with Comet plot

5.6.2 Movies with a series of figure frames

5.6.3 Handle Graphics, the real animator

5.6.4 Handle Graphics functions for transforming a group of objects

Applications

6. Algebraic Equations

6.1 Linear Algebra

6.1.1 Solving a linear system

6.1.2 Gaussian elimination

6.1.3 Finding eigenvalues and eigenvectors

6.1.4 Generalized eigenvalue problem

6.1.5 Matrix factorizations

6.1.6 Advanced topics

6.2 Nonlinear Algebraic Equations

6.2.1 Roots of polynomials

7. Data Analysis and Regression

7.1 Curve Fitting and Regression Analysis

7.1.1 Polynomial curve fitting on the fly

7.1.2 Do it yourself: Curve fitting with polynomial functions

7.1.3 Nonlinear regression and least squares curve fitting

7.1.4 General nonlinear fits

7.1.5 Interpolation

7.2 Correlations

7.2.1 Goodness of fit or the coefficient of determination, r2

7.3 Statistics

8. Differential Equations

8.1 Numerical Integration (Quadrature)

8.1.1 2-D and 3-D integration

8.2 Solution of ODEs for Initial Value Problems

8.2.1 Example 1: A first-order linear ODE

8.2.2 Example 2: A second-order nonlinear ODE

8.2.3 ode23 versus ode45

8.2.4 Specifying tolerance

8.2.5 The ODE suite

8.2.6 Event location

8.3 Solution of ODEs for Boundary Value Problems

8.3.1 Example 1: A simple BVP

8.3.2 Example 2: Deflection of a fixed-fixed beam under nonuniform loading

8.4 Advanced Topics

9. Computer Algebra and the Symbolic Math Toolbox

9.1 The Symbolic Math Toolbox

9.1.1 Should you buy it?

9.1.2 Two useful tools in the Symbolic Math Toolbox

9.2 Numeric Versus Symbolic Computation

9.2.1 Variable precision arithmetic

9.3 Getting Help with the Symbolic Math Toolbox

9.4 Using the Symbolic Math Toolbox

9.4.1 Basic manipulations

9.4.2 Talking to itself

9.4.3 Generating MATLAB code for an anonymous function

9.4.4 Generating M-files from symbolic expressions

9.5 Using MuPAD Notebook

9.5.1 Graphics and animation

9.6 Summary: Some Symbolic Math Toolbox Commands

10. Errors

11. Honorable Mentions

11.1 Debugging Tools

11.2 External Interface: Mex-files

11.3 Graphical User Interface

A. The MATLAB Language Reference

A.1 Punctuation Marks and Other Symbols

A.2 General-Purpose Commands

A.3 Special Variables and Constants

A.4 Language Constructs and Debugging

A.5 File Input/Output

A.6 Operators and Logical Functions

A.7 Frequently Used Math Functions

A.8 Matrices: Creation and Manipulation

A.9 Character String Functions

A.10 Graphics Functions

A.11 Some Applications Functions

A.11.1 Data analysis and Fourier transforms

A.11.2 Polynomials and data interpolation

A.11.3 Nonlinear numerical methods

Bibliography

Index