Introduction to GNU Octave

Format:

Book

Author/Creator:

Lachniet, Jason, author.

Language:

English

Subjects (All):

Mathematics--Textbooks.

Mathematics.

Physical Description:

1 online resource

Place of Publication:

Wytheville, Virginia Jason Lachniet [2017]

Language Note:

In English.

Summary:

This brief book provides a noncomprehensive introduction to GNU Octave, a free open source alternative to MatLab. The basic syntax and usage is explained through concrete examples from the mathematics courses a math, computer science, or engineering major encounters in the first two years of college: linear algebra, calculus, and differential equations.

Contents:

Contents

Preface

1 Basic operation

1.1 Introduction

1.2 Navigating the GUI

1.3 Matrices and vectors

1.4 Plotting

Chapter 1 Exercises

2 Matrices and linear systems

2.1 Linear systems

2.2 Polynomial curve fitting

2.3 Matrix transformations

Chapter 2 Exercises

3 Calculus

3.1 Limits, sequences, and series

3.2 Numerical integration

3.3 Parametric, polar, and implicit functions

3.4 Complex variables

3.5 Special functions

3.6 Symbolic operations

Chapter 3 Exercises

4 Eigenvalue problems

4.1 Eigenvalues and eigenvectors

4.2 Markov chains

4.3 Diagonalization

4.4 Singular value decomposition

4.5 Gram-Schmidt and the QR algorithm

Chapter 4 Exercises

5 Additional topics

5.1 Three dimensional graphs

5.2 Multiple integrals

5.3 Vector fields

5.4 Statistics

5.5 Differential equations

Chapter 5 Exercises

6 Applied projects

6.1 SVD and digital image compression

6.2 The Gini index and nonlinear curve-fitting

6.3 Designing a helical strake: arc length and curvature

6.4 Modeling a cave passage: cubic spline curves

6.5 Graphs of surfaces and 3D-printing

A MATLAB compatibility

B List of Octave commands

References

Index

Notes:

Description based on print resource