ENGLISH

Introduction to GNU Octave

By Jason Lachniet

Book information

Publisher
Lulu.com
Year
2018
ISBN
9780359329649, 0359329640
Language
english
Format
PDF
Filesize
17 MB (17769612 bytes)
Edition
2
Pages
182\182
Time added
2021-11-21 03:41:21

Description

A brief introduction to scientific computing with GNU Octave. Designed as a textbook supplement for freshman and sophomore level linear algebra and calculus students. 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

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