MATLAB Demystified

Need to Learn MATLAB? Problem SOLVED! Get started using MATLAB right away with help from this hands-on guide. MATLAB Demystified offers an effective and enlightening method for learning how to get the most out this powerful computational mathematics tool. Using an easy-to-follow format, this book explains the basics of MATLAB up front. You'll find out how to plot functions, solve algebraic equations, and compute integrals. You'll also learn how to solve differential equations, generate numerical solutions of ODEs, and work with special functions. Packed with hundreds of sample equations and explained solutions, and featuring end-of-chapter quizzes and a final exam, this book will teach you MATLAB essentials in no time at all. This self-teaching guide offers: The quickest way to get up and running on MATLAB Hundreds of worked examples with solutions Coverage of MATLAB 7 A quiz at the end of each chapter to reinforce learning and pinpoint weaknesses A final exam at the end of the book A time-saving approach to performing better on homework or on the job Simple enough for a beginner, but challenging enough for an advanced user, MATLAB Demystified is your shortcut to computational precision.

David McMahon is a physicist and researcher at Sandia National Laboratories. He is the author of Linear Algebra Demystified, Quantum Mechanics Demystified, and Relativity Demystified.

Preface	p. ix
Acknowledgments	p. x
The MATLAB Environment	p. 1
Overview of the User Interface	p. 2
Command Window and Basic Arithmetic	p. 3
The Assignment Operator	p. 5
Basic Mathematical Definitions	p. 9
Complex Numbers	p. 11
Fixing Typos	p. 12
Some File Basics	p. 12
Ending Your MATLAB Session	p. 14
Quiz	p. 14
Vectors and Matrices	p. 15
Vectors	p. 15
Creating Larger Vectors from Existing Variables	p. 18
Creating Vectors with Uniformly Spaced Elements	p. 18
Characterizing a Vector	p. 20
Vector Dot and Cross Products	p. 24
Referencing Vector Components	p. 25
Basic Operations with Matrices	p. 26
Matrix Multiplication	p. 29
More Basic Operations	p. 30
Special Matrix Types	p. 31
Referencing Matrix Elements	p. 32
Finding Determinants and Solving Linear Systems	p. 34
Finding the Rank of a Matrix	p. 35
Finding the Inverse of a Matrix and the Pseudoinverse	p. 39
Reduced Echelon Matrices	p. 44
Matrix Decompositions	p. 45
Quiz	p. 47
Plotting and Graphics	p. 49
Basic 2D Plotting	p. 49
More 2D Plotting Options	p. 54
The Axis Commands	p. 57
Showing Multiple Functions on One Plot	p. 58
Adding Legends	p. 60
Setting Colors	p. 62
Setting Axis Scales	p. 64
Subplots	p. 67
Overlaying Plots and linspace	p. 71
Polar and Logarithmic Plots	p. 74
Plotting Discrete Data	p. 79
Contour Plots	p. 85
Three Dimensional Plots	p. 90
Quiz	p. 96
Statistics and an Introduction to Programming in MATLAB	p. 97
Generating Histograms	p. 98
Basic Statistics	p. 103
Writing Functions in MATLAB	p. 106
Programming with For Loops	p. 110
Calculating Standard Deviation and Median	p. 110
More MATLAB Programming Tips	p. 116
Quiz	p. 119
Solving Algebraic Equations and Other Symbolic Tools	p. 121
Solving Basic Algebraic Equations	p. 121
Solving Quadratic Equations	p. 123
Plotting Symbolic Equations	p. 125
Solving Higher Order Equations	p. 130
Systems of Equations	p. 134
Expanding and Collecting Equations	p. 135
Solving with Exponential and Log Functions	p. 138
Series Representations of Functions	p. 142
Quiz	p. 144
Basic Symbolic Calculus and Differential Equations	p. 145
Calculating Limits	p. 145
Computing Derivatives	p. 153
The dsolve Command	p. 161
Solving ODE's	p. 161
Systems of Equations and Phase Plane Plots	p. 169
Quiz	p. 178
Numerical Solution of ODEs	p. 179
Solving First Order Equations with ODE23 and ODE45	p. 179
Solving Second Order Equations	p. 188
Quiz	p. 196
Integration	p. 197
The Int Command	p. 197
Definite Integration	p. 201
Multidimensional Integration	p. 208
Numerical Integration	p. 209
Quadrature Integration	p. 216
Quiz	p. 217
Transforms	p. 219
The Laplace Transform	p. 219
The Inverse Laplace Transform	p. 222
Solving Differential Equations	p. 227
Computing Fourier Transforms	p. 232
Inverse Fourier Transforms	p. 235
Fast Fourier Transforms	p. 236
Quiz	p. 239
Curve Fitting	p. 241
Fitting to a Linear Function	p. 241
Fitting to an Exponential Function	p. 257
Quiz	p. 258
Working with Special Functions	p. 259
Gamma Functions	p. 259
Bessel Functions	p. 266
The Beta Function	p. 274
Special Integrals	p. 276
Legendre Functions	p. 281
Airy Functions	p. 284
Quiz	p. 286
Bibliography and References	p. 289
Final Exam	p. 291
Answers to Quiz and Exam Questions	p. 303
Index	p. 319
Table of Contents provided by Ingram. All Rights Reserved.

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