Rogel-Salazar Essential MATLAB and Octave

1. Auflage 2014
ISBN: 978-1-4822-3466-4
Verlag: Taylor & Francis
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 288 Seiten

Learn Two Popular Programming Languages in a Single Volume

Widely used by scientists and engineers, well-established MATLAB® and open-source Octave are similar software programs providing excellent capabilities for data analysis, visualization, and more. By means of straightforward explanations and examples from different areas in mathematics, engineering, finance, and physics, Essential MATLAB and Octave explains how MATLAB and Octave are powerful tools applicable to a variety of problems. This text provides an introduction that reveals basic structures and syntax, demonstrates the use of functions and procedures, outlines availability in various platforms, and highlights the most important elements for both programs.

Effectively Implement Models and Prototypes Using Computational Models

This text requires no prior knowledge. Self-contained, it allows the reader to use the material whenever needed rather than follow a particular order. Compatible with both languages, the book material incorporates commands and structures that allow the reader to gain a greater awareness of MATLAB and Octave, write their own code, and implement their scripts and programs within a variety of applicable fields. It is always made clear when particular examples apply only to MATLAB or only to Octave, allowing the book to be used flexibly depending on readers’ requirements.

- Includes brief, simple code that works in both MATLAB and Octave

- Provides exercise sections at the end of each chapter

- Introduces framed examples and discussions with a scientific twist

- Exercises are provided at the end of each chapter

Essential MATLAB and Octave offers an introductory course in MATLAB and Octave programming, and is a perfect resource for students in physics, mathematics, statistics, engineering, and any other subjects that require the use of computers to solve numerical problems.

Zielgruppe

Students in other subjects with a need for computational calculations such as economics, business, finance and computer science, physicists, engineers and those from other disciplines taking a course in MATLAB and/or Octave.

Autoren/Hrsg.

Rogel-Salazar, Jesus

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

MATLAB® and Octave: The Essential Essentials

MATLAB and Octave

Starting Up and Closing Down

Using MATLAB and Octave as a Calculator

Numbers and Formats

Variables

Suppressing Output

Built-In Functions

Characters, String and Text

Saving a Session

Summary

Exercises

Vectors and Vector Operators

Vectors

The Colon Notation (:)

Extracting Parts of a Vector

Column Vectors

Transposition of Vectors

Vector Multiplication

Scalar Product, *

Dot-Star Product,.*

Dot-Division of Vectors,./

Dot-Power of Vectors,.^

Summary

Exercises

Matrices and Matrix Operators

Size of a Matrix

Transpose of a Matrix

Special Matrices

Diagonal Matrices

Building Matrices

Tabulating Functions

Extracting Parts of Matrices

Matrix Multiplication

Sparse Matrices

Systems of Linear Equations

Summary

Exercises

Plotting

Plotting Simple Functions

Information in the Plot

Multiple Plots

Holding Figures

Subplots

Formatted Text

Changing Axes

Plotting Surfaces

More Plots

Summary

Exercises

Programming MATLAB® and Octave

Script Files

Flow of a Programme

Loops in MATLAB and Octave

Conditionals: If. Then. Else.

Procedures and Functions with m-Files

Built-In Functions

Function Handles

Debugging

Timing

Reading and Writing Files

Summary

Exercises

MATLAB® and Octave in Action

Linear Algebra: Linear Combinations

Linear Algebra: Eigenvalues and Eigenvectors

Portfolio Risk: Minimum Variance and Target Portfolios

Differential Equations: Predator-Prey Model

Signal Processing: Fourier Transform

Physics: The Wave Equation

Quantum Mechanics: The Schrödinger Equation and Pauli Matrices

Summary

Exercises

Differences between MATLAB® and Octave

Bibliography

Index

Über Autor(innen)

Dr. Jesús Rogel-Salazar is a member of the School of Physics, Astronomy and Mathematics at the University of Hertfordshire, UK, and a visiting researcher at the Department of Physics at Imperial College London, UK. He obtained his doctorate in physics at Imperial College London for work on quantum atom optics and ultra-cold matter. He has held a position as senior lecturer in mathematics as well as a consultant in the financial industry since 2006. His interests include mathematical modelling, data science, and optimization in a wide range of applications including optics, quantum mechanics, data journalism, and finance.