GNU Octave: Beginner's Guide : Become a Proficient Octave User by Learning this High-level Scientific Numerical Tool from the Ground Up

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Packt Publishing Ltd, Jun 21, 2011 - Computers - 258 pages
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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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Time for action making a surface plot
Time for action plotting parametric curves
Octave Scripts
Writing and executing your first script
Time for action making your first script
Time for action interacting with the user

Time for action heading
Reader feedback
Customer support
Chapter 1 Introducing GNU Octave
So what is GNU Octave?
Installing Octave
Time for action building Octave from source
Checking your installation with peaks
Time for action testing with peaks
Customizing Octave
Time for action creating an Octave home directory under Windows
Time for action editing the octaverc file
Installing additional packages
Time for action installing additional packages
Getting help
The behaviour of the Octave command prompt
Variables and Operators
Simple numerical variables
Time for action manipulating arrays
Structures and cell arrays
Time for action instantiating a structure
Time for action instantiating a cell array
Getting information
Time for action using whos
A few things that make life easier
Basic arithmetic
Time for action doing addition and subtraction operations
Time for action doing multiplication operations
Time for action doing left and right division
Comparison operators and precedence rules
Time for action working with precedence rules
A few hints
Functions and Plotting
Octave functions
Time for action using the cos function
Time for action putting together mathematical functions
Time for action trying out floor ceil round and fix
Time for action using Octave for advanced linear algebra
Twodimensional plotting
Time for action making your first plot
Time for action changing the figure properties
Time for action having multiple graphs in the same figure
Time for action making an inset
Threedimensional plotting
Added flexibility C style input and output functions
Saving your work
Loading your work
Write Your Own Octave Functions
Time for action programming the minmax function
Writing and applying usersupplied functions
Time for action using lsode for numerical integration
Monte Carlo integration
Time for action vectorizing the Monte Carlo integrator
A Poisson Equation Solver
The Poisson equation two examples of heat conduction
Finite differencing
Time for action instantiating a sparse matrix
Implementation and package functions
Time for action using imagesc
Time for action comparing with analytical solution
Time for action solving a twodimensional Laplace equation
The poissolv package
Data Analysis
Simple descriptive statistics
Function fitting
Time for action using polyfit
Time for action calculating the correlation coefficient
Time for action using leasqr
Fourier analysis
Time for action using the fft function
Time for action analysing the exchange rate
Time for action applying a low pass filter
Optimization and Dynamically Linked Functions
A few optimization techniques
Time for action using tic and toc
Dynamically linked functions
Time for action writing a Hello World program
Time for action checking user inputs and outputs
Time for action revisiting the Selkov model
Appendix A Pop quiz Answers
Working with Octave Functions and Plotting
Rationalizing Octave Scripts
Extensions Write Your Own Octave Functions
Making Your Own Package A Poisson Equation Solver

Common terms and phrases

About the author (2011)

Jesper Schmidt Hansen holds a Ph.D. in soft-material science and is currently doing research in the field of nanofluidics and dynamics at Roskilde University, Denmark. He has been using GNU Octave on a daily basis for many years, both as a student and later as a researcher. The applications have varied from solving partial and ordinary differential equations, simple data plotting, and data generation for other applications, to dynamical system investigations and advanced data analysis.

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