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