GNU Octave Beginner's Guide. Become a proficient Octave user by learning this high-level scientific numerical tool from the ground up - Helion

ebook

Autor: Jesper Schmidt Hansen
Tytuł oryginału: GNU Octave Beginner's Guide. Become a proficient Octave user by learning this high-level scientific numerical tool from the ground up
ISBN: 9781849513333
stron: 280, Format: ebook
Data wydania: 2011-06-21
Księgarnia: Helion

Cena książki: 139,00 zł

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Today, scientific computing and data analysis play an integral part in most scientific disciplines ranging from mathematics and biology to imaging processing and finance. With GNU Octave you have a highly flexible tool that can solve a vast number of such different problems as complex statistical analysis and dynamical system studies.The GNU Octave Beginner's Guide gives you an introduction that enables you to solve and analyze complicated numerical problems. The book is based on numerous concrete examples and at the end of each chapter you will find exercises to test your knowledge. It's easy to learn GNU Octave, with the GNU Octave Beginner's Guide to hand.Using real-world examples the GNU Octave Beginner's Guide will take you through the most important aspects of GNU Octave. This practical guide takes you from the basics where you are introduced to the interpreter to a more advanced level where you will learn how to build your own specialized and highly optimized GNU Octave toolbox package. The book starts by introducing you to work variables like vectors and matrices, demonstrating how to perform simple arithmetic operations on these objects before explaining how to use some of the simple functionality that comes with GNU Octave, including plotting. It then goes on to show you how to write new functionality into GNU Octave and how to make a toolbox package to solve your specific problem. Finally, it demonstrates how to optimize your code and link GNU Octave with C and C++ code enabling you to solve even the most computationally demanding tasks. After reading GNU Octave Beginner's Guide you will be able to use and tailor GNU Octave to solve most numerical problems and perform complicated data analysis with ease.

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Spis treści

GNU Octave Beginner's Guide. Become a proficient Octave user by learning this high-level scientific numerical tool from the ground up eBook -- spis treści

GNU Octave
- Table of Contents
- GNU Octave
- Credits
- About the Author
- About the Reviewers
- www.PacktPub.com
  - Support files, eBooks, discount offers and more
    - Why Subscribe?
    - Free Access for Packt account holders
- Preface
  - What this book covers
  - What you need for this book
  - Who this book is for
  - Conventions
  - Time for action heading
    - What just happened?
    - Pop quiz heading
    - Have a go hero heading
  - Reader feedback
  - Customer support
    - Downloading the example code
    - Errata
    - Piracy
    - Questions
- 1. Introducing GNU Octave
  - So what is GNU Octave?
    - Applications
    - Limitations of Octave
    - Octave and MATLAB
    - The Octave community
  - Installing Octave
    - Windows
    - GNU/Linux
      - Building Octave from the source under GNU/Linux
  - Time for action building Octave from source
    - What just happened?
  - Checking your installation with peaks
  - Time for action testing with peaks
    - What just happened?
  - Customizing Octave
  - Time for action creating an Octave home directory under Windows
    - What just happened?
    - Creating your first .octaverc file
  - Time for action editing the .octaverc file
    - What just happened?
    - More on .octaverc
  - Installing additional packages
  - Time for action installing additional packages
    - What just happened?
    - Uninstalling a package
  - Getting help
  - The behaviour of the Octave command prompt
  - Summary
- 2. Interacting with Octave: Variables and Operators
  - Simple numerical variables
    - Accessing and changing array elements
      - More examples
  - Time for action manipulating arrays
    - What just happened?
    - Complex variables
    - Text variables
    - Higher-dimensional arrays
    - Pop Quiz working with arrays
  - Structures and cell arrays
    - Structures
  - Time for action instantiating a structure
    - What just happened?
    - Accessing structure fields
    - Cell arrays
  - Time for action instantiating a cell array
    - What just happened?
    - Have a go hero working with structures
  - Getting information
  - Time for action using whos
    - What just happened?
    - Size, rows, columns, and length
    - Identifying the variable type
    - Deleting variables from the workspace
    - Pop Quiz understanding arrays
  - A few things that make life easier
  - Basic arithmetic
    - Addition and subtraction
  - Time for action doing addition and subtraction operations
    - What just happened?
    - Matrix multiplication
  - Time for action doing multiplication operations
    - What just happened?
    - Element-by-element, power, and transpose operations
    - Operators for structures and cell arrays
    - Solving linear equation systems: left and right division
  - Time for action doing left and right division
    - What just happened?
    - Basic arithmetic for complex variables
    - Summary of arithmetic operators
    - Pop Quiz understanding simple operations
    - Have a go hero doing the dot product
  - Comparison operators and precedence rules
    - Precedence rules
  - Time for action working with precedence rules
    - What just happened?
    - Pop Quiz understanding precedence rules
  - A few hints
  - Summary
- 3. Working with Octave:Functions and Plotting
  - Octave functions
    - Mathematical functions
  - Time for action using the cos function
    - What just happened?
      - Polynomials in Octave
      - More complicated mathematical functions
  - Time for action putting together mathematical functions
    - What just happened?
    - Helper functions
      - Generating random numbers
      - min and max
      - Sorting arrays
      - find, any, and all
      - floor, ceil, round, and fix
  - Time for action trying out floor, ceil, round, and fix
    - What just happened?
      - sum and prod
      - Absolute values
      - Complex input arguments
    - Operator functions
      - Linear algebra
  - Time for action using Octave for advanced linear algebra
    - What just happened?
      - Polynomials
    - Pop Quiz using simple mathematical functions
    - Have a go hero understanding the find function
  - Two-dimensional plotting
  - Time for action making your first plot
    - What just happened?
      - plot and set
  - Time for action changing the figure properties
    - What just happened?
      - Adding lines and text to your plot
      - Plot styles and colors
      - Title and legends
      - Ticks
      - Grids
      - fplot
      - Clear the figure window
    - Moving on
  - Time for action having multiple graphs in the same figure
    - What just happened?
      - Multiple figure windows
      - Subplots
  - Time for action making an inset
    - What just happened?
      - Saving your plot
    - Pop Quiz understanding the plotting options
    - Have a go hero making inserts
  - Three-dimensional plotting
    - Surface plot
  - Time for action making a surface plot
    - What just happened?
      - view and colormap
      - Contour plots
      - Three-dimensional parametric plots
  - Time for action plotting parametric curves
    - What just happened?
    - Have a go hero revisiting peaks
  - Summary
- 4. Rationalizing: Octave Scripts
  - Writing and executing your first script
  - Time for action making your first script
    - What just happened?
    - Improving your script: input and disp
  - Time for action interacting with the user
    - What just happened?
      - Flush please
      - Comments
      - Very long commands
      - Workspace
      - For GNU/Linux and MacOS X users
    - Pop Quiz understanding disp and input
    - Have a go hero using scripts for plotting
  - Statements
    - Prime numbers
    - Decision making the if statement
    - Interlude: Boolean operators
      - Element-wise Boolean operators
      - Short-circuit Boolean operators
      - Using Boolean operators with an if statement
      - Nested statements
    - The switch statement
    - Loops
      - The for statement
      - The while and do statements
        
        Incremental operators
      - Nested loops
    - Putting it all together
    - Exception handling
    - Pop Quiz understanding statements and Boolean operators
  - Added flexibility C style input and output functions
    - printf
    - Pop Quiz printing with printf
  - Saving your work
  - Loading your work
    - Functional forms
    - Have a go hero investigating the prime gab
  - Summary
- 5. Extensions: Write Your Own Octave Functions
  - Your first Octave function
  - Time for action programming the minmax function
    - What just happened?
    - Scripts versus functions
    - Defining functions at the command prompt
    - Writing a function help text
    - Checking the function call
      - The usage, warning, and error functions
      - nargin and nargout
    - Pop Quiz understanding functions
    - Have a go hero converting scripts into functions
  - Writing and applying user-supplied functions
    - Using fsolve
      - Providing the Jacobian
    - Using lsode dynamical analysis of the Selkov model
  - Time for action using lsode for numerical integration
    - What just happened?
    - Inline functions
    - Pop Quiz implementing mathematical functions as Octave functions
    - Have a go hero bifurcation in the Sel'kov model
  - More advanced function programming: Monte Carlo integration
    - The feval function
    - Validating the user-supplied function
    - Using quad and trapz for numerical integration
    - Vectorized programming
  - Time for action vectorizing the Monte Carlo integrator
    - What just happened?
    - Simple debugging
    - Multiple function file
    - Pop Quiz understanding vectorization
    - Have a go hero using the debugger
  - Summary
- 6. Making Your Own Package: A Poisson Equation Solver
  - The Poisson equation two examples of heat conduction
    - One-dimensional heat conduction
    - Two-dimensional heat conduction
    - The Poisson equation
    - The Dirichlet boundary condition
    - Pop Quiz identifying the Poisson equation
  - Finite differencing
    - From finite difference to a linear equation system
    - Interlude: Sparse matrices
  - Time for action instantiating a sparse matrix
    - What just happened?
    - Memory usage
  - Implementation and package functions
    - The coefficient matrix for one dimension
    - The coefficient matrix for two dimensions
      - The conversion function
    - Testing the functions
      - The coefficient matrices
  - Time for action using imagesc
    - What just happened?
      - Comparison with analytical solution
  - Time for action comparing with analytical solution
    - What just happened?
      - Two dimensions
  - Time for action solving a two-dimensional Laplace equation
    - What just happened?
    - More examples
    - Wrapping everything into one function
    - Have a go hero optimizing the usage of the sparse function
  - The pois-solv package
    - Organizing files into the package directory
      - The DESCRIPTION file
      - The COPYING file
      - The INDEX file
    - Building the package
    - Limitations and possible extensions to the package
  - Summary
- 7. More Examples: Data Analysis
  - Loading data files
  - Simple descriptive statistics
    - Histogram and moments
    - Sample moments
    - Comparing data sets
      - The correlation coefficient
      - The student t-test
  - Function fitting
    - Polynomial fitting
  - Time for action using polyfit
    - What just happened?
      - Goodness of the fit
  - Time for action calculating the correlation coefficient
    - What just happened?
      - Residual plot
    - Non-polynomial fits
      - Transforms
      - General least squares fitting
        
        Time for action using leasqr
        
        What just happened?
        
        Have a go hero calculating the deviation of the Monte Carlo integrator
        
        Fourier analysis
        
        The Fourier transform
        
        Time for action using the fft function
        
        What just happened?
        
        Fourier analysis of currency exchange rate
        
        Time for action analysing the exchange rate
        
        What just happened?
        
        Inverse Fourier transform and data smoothing
        
        The Butterworth filter
        
        Time for action applying a low pass filter
        
        What just happened?
        
        Have a go hero implementing your own Fourier transform function
        
        Summary
- 8. Need for Speed: Optimization and Dynamically Linked Functions
  - A few optimization techniques
    - tic, toc
  - Time for action using tic and toc
    - What just happened?
    - Vectorization
    - Initialization of variables
    - Looping row-wise versus looping column-wise
    - Have a go hero revision of cmat_1d
  - Dynamically linked functions
    - The DEFUN_DLD function macro
  - Time for action writing a "Hello World" program
    - What just happened?
    - Managing input arguments and outputs
  - Time for action checking user inputs and outputs
    - What just happened?
      - Retrieving the inputs
      - Class types
    - Functions as input argument
    - Optimization with oct-files
  - Time for action revisiting the Sel'kov model
    - What just happened
    - Have a go hero implementing the Euler integrator
  - Summary
- A. Pop Quiz Answers
  - Chapter 2: Interacting with Octave: Variables and Operators
    - Working with arrays
    - Understanding arrays
    - Understanding simple operations
    - Understanding precedence rules
  - Chapter 3: Working with Octave: Functions and Plotting
    - Using simple mathematical functions
    - Understanding the plotting options
  - Chapter 4: Rationalizing: Octave Scripts
    - Understanding disp and input
    - Understanding statements and Boolean operators
    - Printing with printf
  - Chapter 5: Extensions: Write Your Own Octave Functions
    - Understanding functions
    - Implementing mathematical functions as Octave functions
    - Understanding vectorization
  - Chapter 6: Making Your Own Package: A Poisson Equation Solver
    - Identifying the Poisson equation
- Index