Book description
MATLAB is a highlevel language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and builtin math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. This book is designed for use as a scientific/business calculator so that you can get numerical solutions to problems involving a wide array of mathematics using MATLAB. Just look up the function you want in the book and you are ready to use it in MATLAB or use the book to learn about the enormous range of options that MATLAB offers.
MATLAB Numerical Calculations focuses on MATLAB capabilities to give you numerical solutions to problems you are likely to encounter in your professional or scholastic life. It introduces you to the MATLAB language with practical handson instructions and results, allowing you to quickly achieve your goals. Starting with a look at basic MATLAB functionality with integers, rational numbers and real and complex numbers, and MATLAB's relationship with Maple, you will learn how to solve equations in MATLAB, and how to simplify the results. You will see how MATLAB incorporates vector, matrix and character variables, and functions thereof. MATLAB is a powerful tool used to defined, manipulate and simplify complex algebraic expressions. With MATLAB you can also work with ease in matrix algebra, making use of commands which allow you to find eigenvalues, eigenvectors, determinants, norms and various matrix decompositions, among many other features. Lastly, you will see how you can write scripts and use MATLAB to explore numerical analysis, finding approximations of integrals, derivatives and numerical solutions of differential equations.
Table of contents
 Cover
 Title
 Copyright
 Contents at a Glance
 Contents
 About the Author
 Also Available
 Introduction
 Chapter 1: Introduction to MATLAB
 Chapter 2: Integers, Divisibility and Number Systems

Chapter 3: Real and Complex Numbers
 3.1 Rational Numbers
 3.2 Continued Fractions
 3.3 Irrational Numbers
 3.4 Algebraic Numbers
 3.5 Real Numbers
 3.6 Common Functions with Real Arguments
 3.7 Complex Numbers
 3.8 Common Functions with Complex Arguments
 3.9 Divisibility in the Complex Field. The Ring of Gaussian Integers
 3.10 Approximation and Precision
 3.11 Types of Numbers and Expressions
 3.12 Random Numbers

Chapter 4: Numerical Variables, Vectors and Matrices
 4.1 Variables
 4.2 Variables and Special Constants
 4.3 Symbolic and Numeric Variables
 4.4 Vector Variables
 4.5 Matrix Variables
 4.6 Character Variables
 4.7 Operators
 4.8 Logic Functions
 4.9 Elementary Functions that Support Complex Matrix Arguments
 4.10 Elementary Functions that Support Complex Vector Arguments
 4.11 Vector Functions of Several Variables
 4.12 Functions of One Variable
 Chapter 5: Vectors and Matrices

Chapter 6: Functions
 6.1 Custom Defined Functions
 6.2 Functions and Mfiles
 6.3 Functions and Flow Control. Loops
 6.4 The FOR loop
 6.5 The WHILE loop
 6.6 IF ELSEIF ELSE END LOOP
 6.7 Recursive Functions
 6.8 Conditional Functions
 6.9 Defining Functions Directly. Evaluating Functions
 6.10 Functions of One Variable
 6.11 Functions of Several Variables
 6.12 Piecewise Functions
 6.13 Functional Operations

Chapter 7: Programming and Numerical Analysis
 7.1 MATLAB and Programming
 7.2 The Text Editor
 7.3 Scripts
 7.4 Functions and Mfiles. Eval and feval
 7.5 Local and Global Variables
 7.6 Data Types
 7.7 Flow Control: FOR, WHILE and IF ELSEIF Loops
 7.8 FOR Loops
 7.9 WHILE Loops
 7.10 IF ELSEIF ELSE END Loops
 7.11 SWITCH and CASE
 7.12 CONTINUE
 7.13 BREAK
 7.14 TRY ... CATCH
 7.15 RETURN
 7.16 Subfunctions
 7.17 Commands in Mfiles
 7.18 Functions relating to Arrays of Cells
 7.19 Functions of Multidimensional Arrays
 7.20 Numerical Analysis Methods in MATLAB
 7.21 Zeros of Functions and Optimization
 7.22 Numerical Integration
 7.23 Numerical Differentiation
 7.24 Approximate Solutions of Differential Equations
 7.25 Ordinary Differential Equations with Initial Values
 7.26 Ordinary Differential Equations with Boundary Conditions
 7.27 Partial Differential Equations
 Chapter 8: Numerical Algorithms: Equations, Derivatives, Integrals and Differential Equations
Product information
 Title: MATLAB Numerical Calculations
 Author(s):
 Release date: December 2014
 Publisher(s): Apress
 ISBN: 9781484203460
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