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 Sel'kov 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.