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• Essential MATLAB for Engineers and Scientists
• Copyright
• Contents
• Preface
• Acknowledgments
• Part 1 Essentials
• 1 Introduction
• 1.1 Using MATLAB
• 1.1.1 Arithmetic
• 1.1.2 Variables
• 1.1.3 Mathematical functions
• 1.1.4 Functions and commands
• 1.1.5 Vectors
• 1.1.6 Linear equations
• 1.1.7 Tutorials and demos
• 1.2 The desktop
• 1.2.1 Using the Editor and running a script
• 1.2.2 Help, Publish and View
• 1.2.3 Symbolics in live scripts
• 1.2.4 APPS
• 1.2.5 Additional features
• 1.3 Sample program
• 1.3.1 Cut and paste
• 1.3.2 Saving a program: Script files
• Current directory
• Running a script from the Current Folder browser
• 1.3.3 A program in action
• Summary
• Exercises
• 1.A Supplementary material
• 2 MATLAB Fundamentals
• 2.1 Variables
• 2.1.1 Case sensitivity
• 2.2 The workspace
• 2.2.1 Adding commonly used constants to the workspace
• 2.3 Arrays: Vectors and matrices
• 2.3.1 Initializing vectors: Explicit lists
• 2.3.2 Initializing vectors: The colon operator
• 2.3.3 The linspace and logspace functions
• 2.3.4 Transposing vectors
• 2.3.5 Subscripts
• 2.3.6 Matrices
• 2.3.7 Capturing output
• 2.3.8 Structure plan
• 2.4 Vertical motion under gravity
• 2.5 Operators, expressions, and statements
• 2.5.1 Numbers
• 2.5.2 Data types
• 2.5.3 Arithmetic operators
• 2.5.4 Operator precedence
• 2.5.5 The colon operator
• 2.5.6 The transpose operator
• 2.5.7 Arithmetic operations on arrays
• 2.5.8 Expressions
• 2.5.9 Statements
• 2.5.10 Statements, commands, and functions
• 2.5.11 Formula vectorization
• 2.6 Output
• 2.6.1 The disp statement
• 2.6.2 The format command
• 2.6.3 Scale factors
• 2.7 Repeating with for
• 2.7.1 Square roots with Newton’s method
• 2.7.2 Factorials!
• 2.7.3 Limit of a sequence
• 2.7.4 The basic for construct
• 2.7.5 for in a single line
• 2.7.6 More general for
• 2.7.7 Avoid for loops by vectorizing!
• 2.8 Decisions
• 2.8.1 The one-line if statement
• 2.8.2 The if-else construct
• 2.8.3 The one-line if-else statement
• 2.8.4 elseif
• 2.8.5 Logical operators
• 2.8.6 Multiple ifs versus elseif
• 2.8.7 Nested ifs
• 2.8.8 Vectorizing ifs?
• 2.8.9 The switch statement
• 2.9 Complex numbers
• Summary
• Exercises
• 2.A Supplementary material
• 3 Program Design and Algorithm Development
• 3.1 The program design process
• 3.1.1 The projectile problem
• 3.2 Programming MATLAB functions
• 3.2.1 Inline objects: Harmonic oscillators
• 3.2.2 MATLAB function: y = f(x)
• Summary
• Exercises
• 4 MATLAB Functions and Data Import-Export Utilities
• 4.1 Common functions
• 4.2 Importing and exporting data
• 4.2.1 The load and save commands
• 4.2.2 Exporting text (ASCII) data
• 4.2.3 Importing text (ASCII) data
• 4.2.4 Exporting binary data
• 4.2.5 Importing binary data
• Summary
• Exercises
• 5 Logical Vectors
• 5.1 Examples
• 5.1.1 Discontinuous graphs
• 5.1.2 Avoiding division by zero
• 5.1.3 Avoiding infinity
• 5.1.4 Counting random numbers
• 5.1.5 Rolling dice
• 5.2 Logical operators
• 5.2.1 Operator precedence
• 5.2.2 Danger
• 5.2.3 Logical operators and vectors
• 5.3 Subscripting with logical vectors
• 5.4 Logical functions
• 5.4.1 Using any and all
• 5.5 Logical vectors instead of elseif ladders
• Summary
• Exercises
• 5.A Supplementary material
• 6 Matrices and Arrays
• 6.1 Matrices
• 6.1.1 A concrete example
• 6.1.2 Creating matrices
• 6.1.3 Subscripts
• 6.1.4 Transpose
• 6.1.5 The colon operator
• 6.1.6 Duplicating rows and columns: Tiling
• 6.1.7 Deleting rows and columns
• 6.1.8 Elementary matrices
• 6.1.9 Specialized matrices
• 6.1.10 Using MATLAB functions with matrices
• 6.1.11 Manipulating matrices
• 6.1.12 Array (element-by-element) operations on matrices
• 6.1.13 Matrices and for
• 6.1.14 Visualization of matrices
• 6.1.15 Vectorizing nested fors: loan repayment tables
• 6.1.16 Multi-dimensional arrays
• 6.2 Matrix operations
• 6.2.1 Matrix multiplication
• 6.2.2 Matrix exponentiation
• 6.3 Other matrix functions
• 6.4 Population growth: Leslie matrices
• 6.5 Markov processes
• 6.5.1 A random walk
• 6.6 Linear equations
• 6.6.1 MATLAB’s solution
• 6.6.2 The residual
• 6.6.3 Over-determined systems
• 6.6.4 Under-determined systems
• 6.6.5 Ill conditioning
• 6.6.6 Matrix division
• 6.7 Sparse matrices
• Summary
• Exercises
• 7 Function M-files
• 7.1 Example: Newton’s method again
• 7.2 Basic rules
• 7.2.1 Subfunctions
• 7.2.2 Private functions
• 7.2.3 P-code files
• 7.2.4 Improving M-file performance with the Profiler
• 7.3 Function handles
• 7.4 Command/function duality
• 7.5 Function name resolution
• 7.6 Debugging M-files
• 7.6.1 Debugging a script
• 7.6.2 Debugging a function
• 7.7 Recursion
• Summary
• Exercises
• 7.A Supplementary material
• 8 Loops
• 8.1 Determinate repetition with for
• 8.1.1 Binomial coefficient
• 8.1.2 Update processes
• 8.1.3 Nested fors
• 8.2 Indeterminate repetition with while
• 8.2.1 A guessing game
• 8.2.2 The while statement
• 8.2.3 Doubling time of an investment
• 8.2.4 Prime numbers
• 8.2.5 Projectile trajectory
• 8.2.6 break and continue
• 8.2.7 Menus
• Summary
• Exercises
• 9 MATLAB Graphics
• 9.1 Basic 2-D graphs
• 9.1.1 Labels
• 9.1.2 Multiple plots on the same axes
• 9.1.3 Line styles, markers and color
• 9.1.4 Axis limits
• axes and axis?
• 9.1.5 Multiple plots in a figure: subplot
• 9.1.6 figure, clf and cla
• 9.1.7 Graphical input
• 9.1.8 Logarithmic plots
• 9.1.9 Polar plots
• 9.1.10 Plotting rapidly changing mathematical functions: fplot
• 9.1.11 The Property Editor
• 9.2 3-D plots
• 9.2.1 plot3
• 9.2.2 Animated 3-D plots with comet3
• 9.2.3 Mesh surfaces
• 9.2.4 Contour plots
• 9.2.5 Cropping a surface with NaNs
• 9.2.6 Visualizing vector fields
• 9.2.7 Visualization of matrices
• 9.2.8 Rotation of 3-D graphs
• 9.3 Handle Graphics
• 9.3.1 Getting handles
• 9.3.2 Graphics object properties and how to change them
• 9.3.3 A vector of handles
• 9.3.4 Graphics object creation functions
• 9.3.5 Parenting
• 9.3.6 Positioning figures
• 9.4 Editing plots
• 9.4.1 Plot edit mode
• 9.4.2 Property Editor
• 9.5 Animation
• 9.5.1 Animation with Handle Graphics
• 9.6 Color etc.
• 9.6.1 Colormaps
• 9.6.2 Color of surface plots
• 9.6.3 Truecolor
• 9.7 Lighting and camera
• 9.8 Saving, printing and exporting graphs
• 9.8.1 Saving and opening figure files
• 9.8.2 Printing a graph
• 9.8.3 Exporting a graph
• Summary
• Exercises
• 10 Vectors as Arrays and Other Data Structures
• 10.1 Update processes
• 10.1.1 Unit time steps
• 10.1.2 Non-unit time steps
• 10.1.3 Using a function
• 10.1.4 Exact solution
• 10.2 Frequencies, bar charts and histograms
• 10.2.1 A random walk
• 10.2.2 Histograms
• 10.3 Sorting
• 10.3.1 Bubble Sort
• 10.3.2 MATLAB’s sort
• 10.4 Structures
• 10.5 Cell arrays
• 10.5.1 Assigning data to cell arrays
• 10.5.2 Accessing data in cell arrays
• 10.5.3 Using cell arrays
• 10.5.4 Displaying and visualizing cell arrays
• 10.6 Classes and objects
• Summary
• 11 Errors and Pitfalls
• 11.1 Syntax errors
• 11.1.1 Incompatible vector sizes
• 11.1.2 Name hiding
• 11.2 Logic errors
• 11.3 Rounding error
• Summary
• Chapter exercises
• Part 2 Applications
• 12 Dynamical Systems
• 12.1 Cantilever beam
• 12.2 Electric current
• 12.3 Free fall
• 12.4 Projectile with friction
• Summary
• Exercises
• 13 Simulation
• 13.1 Random number generation
• 13.1.1 Seeding rand
• 13.2 Spinning coins
• 13.3 Rolling dice
• 13.4 Bacteria division
• 13.5 A random walk
• 13.6 Traffic flow
• 13.7 Normal (Gaussian) random numbers
• Summary
• Exercises
• 14 Introduction to Numerical Methods
• 14.1 Equations
• 14.1.1 Newton’s method
• 14.1.1.1 Complex roots
• 14.1.2 The Bisection method
• 14.1.3 fzero
• 14.1.4 roots
• 14.2 Integration
• 14.2.1 The Trapezoidal rule
• 14.2.2 Simpson’s rule
• 14.2.3 quad
• 14.3 Numerical differentiation
• 14.3.1 diff
• 14.4 First-order differential equations
• 14.4.1 Euler’s method
• 14.4.2 Example: Bacteria growth
• 14.4.3 Alternative subscript notation
• 14.4.4 A predictor-corrector method
• 14.5 Linear ordinary differential equations (LODEs)
• 14.6 Runge-Kutta methods
• 14.6.1 A single differential equation
• 14.6.2 Systems of differential equations: Chaos
• 14.6.3 Passing additional parameters to an ODE solver
• 14.7 A partial differential equation
• 14.7.1 Heat conduction
• 14.8 Complex variables and conformal mapping
• Joukowski airfoil
• 14.9 Other numerical methods
• Summary
• Exercises
• 15 Signal Processing
• 15.1 Harmonic analysis
• 15.2 Fast Fourier Transform (FFT)
• 16 SIMULINK® Toolbox
• 16.1 Mass-spring-damper dynamic system
• 16.2 Bouncing ball dynamic system
• 16.3 The van der Pol oscillator
• 16.4 The Duffing oscillator
• Exercises
• 17 Symbolics Toolbox
• 17.1 Algebra
• 17.1.1 Polynomials
• 17.1.2 Vectors
• 17.1.3 Matrices
• 17.2 Calculus
• 17.3 Laplace and Z transforms
• 17.4 Generalized functions*
• 17.5 Differential equations
• 17.6 Implementation of funtool, MuPAD and help
• 17.6.1 The funtool
• 17.6.2 The MuPAD notebook* and Symbolic help
• Exercises
• A Syntax: Quick Reference
• A.1 Expressions
• A.2 Function M-files
• A.3 Graphics
• A.4 if and switch
• A.5 for and while
• A.6 Input/output
• A.7 load/save
• A.8 Vectors and matrices
• B Operators
• C Command and Function: Quick Reference
• C.1 General-purpose commands
• C.1.1 Managing variables and the workspace
• C.1.2 Files and the operating system
• C.1.3 Controlling the Command Window
• C.1.4 Starting and quitting MATLAB
• C.2 Logical functions
• C.3 MATLAB programming tools
• C.3.1 Interactive input
• C.4 Matrices
• C.4.1 Special variables and constants
• C.4.2 Time and date
• C.4.3 Matrix manipulation
• C.4.4 Specialized matrices
• C.5 Mathematical functions
• C.6 Matrix functions
• C.7 Data analysis
• C.8 Polynomial functions
• C.9 Function functions
• C.10 Sparse matrix functions
• C.11 Character string functions
• C.12 File I/O functions
• C.13 2D graphics
• C.14 3D graphics
• C.15 General
• D Solutions to Selected Exercises
• Chapter 1
• Chapter 2
• Chapter 3
• Chapter 4
• Chapter 5
• Chapter 6
• Chapter 7
• Chapter 8
• Chapter 9
• Chapter 11
• Chapter 13
• Chapter 14
• Index
• Back Cover