Introduction to GNU Octave

Contents
Preface
Getting started
	Introduction
		What is GNU Octave?
		Installing Octave
	Navigating the GUI
		Command history
		File browser
		Workspace
		The variable editor
		Getting help
	Matrices and vectors
		Basic arithmetic
		Vector operations
		Matrix operations
	Plotting
		Elementwise operations
		Plot options
		Saving plots
	Chapter 1 Exercises
Matrices and linear systems
	Linear systems
		Gaussian elimination
		Left division
		LU decomposition
	Polynomial curve fitting
	Matrix transformations
		Rotation
		Reflection
		Dilation
		Linear and nonlinear transformations
	Chapter 2 Exercises
Single variable calculus
	Limits, sequences, and series
	Numerical integration
		Quadrature
		Octave scripts
	Parametric, polar, and implicit functions
		Parametric and polar plots
		Implicit plots
	The symbolic package
		Installation
		Symbolic operations
		Plotting
		Options
	Chapter 3 Exercises
Miscellaneous topics
	Complex variables
	Special functions
	Statistics
		Distribution of sample means
		The standard normal distribution
		Linear regression
		The binomial distribution
		Hypothesis testing
	Chapter 4 Exercises
Eigenvalue problems
	Eigenvectors
	Markov chains
	Diagonalization
		Orthogonal diagonalization
	Singular value decomposition
		The pseudoinverse
	Gram-Schmidt and the QR algorithm
		The Gram-Schmidt process
		QR decomposition
		The QR algorithm
	Chapter 5 Exercises
Multivariable calculus and differential equations
	Space curves
	Surfaces
		Change of variables
		Parametric surfaces
	Multiple integrals
		Double Riemann sums
	Vector fields
	Differential equations
		Slope fields
		Euler's method
		The Livermore solver
		ODE45
		Exact solutions
	Chapter 6 Exercises
Applied projects
	Digital image compression
	The Gini index
	Designing a helical strake
	3D-printing
	Modeling a cave passage
	Modeling the spread of an infectious disease
MATLAB compatibility
Octave command glossary
References
Index