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| Preface | |
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| Introduction | |
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| What Is MATLAB? | |
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| Does MATLAB Do Symbolic Calculations? | |
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| Will MATLAB Run on My Computer? | |
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| Where Do I Get MATLAB ? | |
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| How Do I Use This Book? | |
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| Basics of MATLAB | |
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| MATLAB windows | |
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| On-line help | |
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| Input-output | |
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| File types | |
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| Platform dependence | |
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| General commands you should remember | |
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| Visit This Again | |
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| Tutorial Lessons The Basics | |
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| Lesson 1: A Minimum MATLAB Session | |
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| Lesson 2: Creating and Working with Arrays of Numbers | |
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| Lesson 3: Creating and Printing Simple Plots | |
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| Lesson 4: Creating, Saving, and Executing a Script File | |
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| Lesson 5: Creating and Executing a Function File Directional Explorations | |
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| Lesson 6: Working with Arrays and Matrices | |
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| Lesson 7: Working with anonymous functions | |
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| Lesson 8: Symbolic Computation | |
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| Lesson 9: Importing and Exporting Data | |
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| Lesson 10: Working with Files and Directories | |
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| Lesson 11: Publishing Reports | |
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| Interactive Computation 67 | |
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| Matrices and Vectors | |
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| Input | |
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| Indexing (or subscripting) | |
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| Matrix manipulation | |
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| Creating vectors | |
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| Matrix and Array Operations | |
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| Arithmetic operations | |
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| Relational operations | |
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| Logical operations | |
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| Elementary math functions | |
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| Matrix functions | |
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| Character strings | |
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| Manipulating character strings | |
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| The eval function | |
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| A Special Note on Array Operations | |
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| Vectorization | |
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| Command Line Functions | |
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| Inline functions | |
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| Anonymous functions | |
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| Using Built-in Functions and On-line Help | |
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| Example 1: Finding the determinant of a matrix | |
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| Example 2: Finding eigenvalues and eigenvectors | |
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| Saving and Loading Data | |
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| Saving into and loading from the binary Mat-_les | |
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| Importing data _les | |
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| Recording a session with diary | |
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| Plotting Simple Graphs | |
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| Programming in MATLAB: Scripts and Functions | |
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| Script Files | |
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| Function Files | |
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| Executing a function | |
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| More on functions | |
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| M-Lint code analyzer | |
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| Subfunctions | |
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| Nested functions | |
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| Compiled (parsed) functions: The p-code | |
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| The pro_ler | |
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| Language-speci_c Features | |
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| Use of comments to create on-line help | |
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| Continuation | |
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| Global variables | |
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| Loops, branches, and control-ow | |
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| Interactive input | |
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| Recursion | |
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| Input/output | |
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| Advanced Data Objects | |
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| Multidimensional matrices | |
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| Structures | |
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| Cells | |
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| Publishing Reports | |
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| Applications | |
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| Linear Algebra | |
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| Solving a linear system | |
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| Gaussian elimination | |
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| Finding eigenvalues and eigenvectors | |
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| Matrix factorizations | |
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| Advanced topics | |
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| Curve Fitting and Interpolation | |
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| Polynomial curve _tting on the y | |
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| Do it yourself: Curve _tting with polynomial functions | |
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| Least squares curve _tting | |
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| General nonlinear _ts | |
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| Interpolation | |
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| Data Analysis and Statistics | |
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| Numerical Integration (Quadrature) | |
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| Double integration | |
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| Ordinary Di_erential Equations | |
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| Example 1: A _rst-order linear ODE | |
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| Example 2: A second-order nonlinear ODE | |
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| ode23 versus ode45 | |
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| Specifying tolerance | |
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| The ODE suite | |
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| Event location | |
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| Nonlinear Algebraic Equations | |
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| Roots of polynomials | |
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| Advanced Topics | |
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| Graphics | |
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| Basic 2-D Plots | |
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| Style options | |
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| Labels, title, legend, and other text objects | |
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| Axis control, zoom in, and zoom out | |
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| Modifying plots with the plot editor | |
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| Overlay plots | |
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| Specialized 2-D plots | |
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| Using subplot for Multiple Graphs | |
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| 3-D Plots | |
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| View | |
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| Rotate view | |
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| Mesh and surface plots | |
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| Vector _eld and volumetric plots | |
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| Interpolated surface plots | |
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| Handle Graphics | |
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| The object hierarchy | |
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| Object handles | |
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| Object properties | |
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| Modifying an existing plot | |
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| Complete control over the graphics layout | |
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| Fun with 3-D Surface Graphics | |
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| Generating a cylindrical surface | |
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| Face color, transparency and light reection | |
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| A little more fun with color and lighting | |
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| A word about choosing colors | |
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| Saving and Printing Graphs | |
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| Saving graphs to reusable _les | |
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| Animation | |
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| Errors | |
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| Computer Algebra and The Symbolic Math Toolbox | |
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| The Symbolic Math Toolbox | |
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| Should you buy it? | |
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| Two useful tools in the Symbolic Math Toolbox | |
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| Numeric vs. symbolic computation | |
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| Variable Precision Arithmetic | |
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| Getting help with the Symbolic Math Toolbox | |
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| Using the Symbolic Math Toolbox | |
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| Basic manipulations | |
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| Talking to itself | |
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| Generating MATLAB code for an inline or anonymous function | |
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| Generating M-_les from symbolic expressions | |
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| Using MuPAD Notebook | |
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| Graphics and animation | |
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| Summary: Some Symbolic Math Toolbox commands | |
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| Honorable Mentions | |
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| Debugging Tools | |
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| External Interface: Mex-_les | |
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| Graphical User Interface | |
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| The MATLAB Language Reference | |
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| Punctuation Marks and Other Symbols | |
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| General-purpose Commands | |
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| Special Variables and Constants | |
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| Language Constructs and Debugging | |
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| File Input/Output | |
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| Operators and Logical Functions | |
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| Frequently Used Math Functions | |
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| Matrices: Creation and Manipulation | |
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| Character String Functions | |
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| Graphics Functions | |
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| Some Applications Functions | |
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| Data analysis and Fourier transforms | |
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| Polynomials and data interpolation | |
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| Nonlinear numerical methods | |
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| Bibliography | |
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| Index | |