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

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.

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In English.

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