Essential MATLAB for Engineers and Scientists.

Format:

Book

Author/Creator:

Valentine, Daniel T.

Contributor:

Hahn, Brian D.

Language:

English

Subjects (All):

Numerical analysis--Data processing.

Physical Description:

1 online resource (425 pages)

Edition:

5th ed.

Place of Publication:

San Diego : Elsevier Science & Technology, 2013.

Contents:

Intro

Half Title

Title Page

Copyright

Contents

Preface

Essentials

1 Introduction

1.1 Using MATLAB

1.1.1 Arithmetic

1.1.2 Variables

1.1.3 Mathematical functions

1.1.4 Functions and commands

1.1.5 Vectors

1.1.6 Linear equations

1.1.7 Tutorials and demos

1.2 The desktop

1.2.1 Using the Editor and running a script

1.2.2 Help, publish, and view

1.2.3 Symbolics and the MuPAD notebook APP

Differentiation and integration

1.2.4 Other APPS

1.2.5 Additional features

1.3 Sample program

1.3.1 Cut and paste

1.3.2 Saving a program: script files

Current directory

Running a script from the current folder browser

1.3.3 A program in action

Summary

Chapter exercises

2 MATLAB Fundamentals

2.1 Variables

2.1.1 Case sensitivity

2.2 The workspace

2.2.1 Adding commonly used constants to the workspace

2.3 Arrays: Vectors and matrices

2.3.1 Initializing vectors: Explicit lists

2.3.2 Remember the following important rules

2.3.2 Initializing vectors: The colon operator

2.3.3 The linspace and logspace functions

2.3.4 Transposing vectors

2.3.5 Subscripts

2.3.6 Matrices

2.3.7 Capturing output

2.3.8 Structure plan

2.4 Vertical motion under gravity

2.5 Operators, expressions, and statements

2.5.1 Numbers

2.5.2 Data types

2.5.3 Arithmetic operators

2.5.4 Operator precedence

2.5.5 The colon operator

2.5.6 The transpose operator

2.5.7 Arithmetic operations on arrays

2.5.8 Expressions

2.5.9 Statements

2.5.10 Statements, commands, and functions

2.5.11 Formula vectorization

2.6 Output

2.6.1 The disp statement

2.6.2 The format command

2.6.3 Scale factors

2.7 Repeating with for

2.7.1 Square roots with Newton's method

2.7.2 Factorials!

2.7.3 Limit of a sequence

2.7.4 The basic for construct.

2.7.5 for in a single line

2.7.6 More general for

2.7.7 Avoid for loops by vectorizing!

2.8 Decisions

2.8.1 The one-line if statement

2.8.2 The if-else construct

2.8.3 The one-line if-else statement

2.8.4 elseif

2.8.5 Logical operators

2.8.6 Multiple ifs versus elseif

2.8.7 Nested ifs

2.8.8 Vectorizing ifs?

2.8.9 The switch statement

2.9 Complex numbers

3 Program Design and Algorithm Development

3.1 The program design process

3.1.1 The projectile problem

3.2 Programming MATLAB functions

3.2.1 Inline objects: harmonic oscillators

3.2.2 MATLAB function: y = f(x)

4 MATLAB Functions and Data Import-Export Utilities

4.1 Common functions

4.2 Importing and exporting data

4.2.1 The load and save commands

4.2.2 Exporting text (ASCII) data

4.2.3 Importing text (ASCII) data

4.2.4 Exporting binary data

4.2.4.1 Importing binary data

5 Logical vectors

5.1 Examples

5.1.1 Discontinuous graphs

5.1.2 Avoiding division by zero

5.1.3 Avoiding infinity

5.1.4 Counting random numbers

5.1.5 Rolling dice

5.2 Logical operators

5.2.1 Operator precedence

5.2.2 Danger

5.2.3 Logical operators and vectors

5.3 Subscripting with logical vectors

5.4 Logical functions

5.4.1 Using any and all

5.5 Logical vectors instead of elseif ladders

6 Matrices and Arrays

6.1 Matrices

6.1.1 A concrete example

6.1.2 Creating matrices

6.1.3 Subscripts

6.1.4 Transpose

6.1.5 The colon operator

6.1.6 Duplicating rows and columns: tiling

6.1.7 Deleting rows and columns

6.1.8 Elementary matrices

6.1.9 Specialized matrices

6.1.10 Using MATLAB functions with matrices

6.1.11 Manipulating matrices.

6.1.12 Array (element-by-element) operations on matrices

6.1.13 Matrices and for

6.1.14 Visualization of matrices

6.1.15 Vectorizing nested fors: loan repayment tables

6.1.16 Multi-dimensional arrays

6.2 Matrix operations

6.2.1 Matrix multiplication

6.2.2 Matrix exponentiation

6.3 Other matrix functions

6.4 Population growth: Leslie matrices

6.5 Markov processes

6.5.1 A random walk

6.6 Linear equations

6.6.1 MATLAB's solution

6.6.2 The residual

6.6.3 Over-determined systems

6.6.4 Under-determined systems

6.6.5 Ill conditioning

6.6.6 Matrix division

6.7 Sparse matrices

7 Function M-files

7.1 Example: Newton's method again

7.2 Basic rules

7.2.1 Subfunctions

7.2.2 Private functions

7.2.3 P-code files

7.2.4 Improving M-file performance with the profiler

7.3 Function handles

7.4 Command/function duality

7.5 Function name resolution

7.6 Debugging M-files

7.6.1 Debugging a script

7.6.2 Debugging a function

7.7 Recursion

8 Loops

8.1 Determinate repetition with series for

8.1.1 Binomial coefficient

8.1.2 Update processes

8.1.3 Nested fors

8.2 Indeterminate repetition with series while

8.2.1 A guessing game

8.2.2 The while statement

8.2.3 Doubling time of an investment

8.2.4 Prime numbers

8.2.5 Projectile trajectory

8.2.6 break and continue

8.2.7 Menus

9 MATLAB Graphics

9.1 Basic 2-D graphs

9.1.1 Labels

9.1.2 Multiple plots on the same axes

9.1.3 Line styles, markers and color

9.1.4 Axis limits

9.1.5 Multiple plots in a figure: subplot

9.1.6 figure, clf and cla

9.1.7 Graphical input

9.1.8 Logarithmic plots

9.1.9 Polar plots

9.1.10 Plotting rapidly changing mathematical functions: fplot.

9.1.11 The Property Editor

9.2 3-D plots

9.2.1 plot3

9.2.2 Animated 3-D plots with comet3

9.2.3 Mesh surfaces

9.2.4 Contour plots

9.2.5 Cropping a surface with NaNs

9.2.6 Visualizing vector fields

9.2.7 Visualization of matrices

9.2.8 Rotation of 3-D graphs

9.3 Handle Graphics

9.3.1 Getting handles

9.3.2 Graphics object properties and how to change them

9.3.3 A vector of handles

9.3.4 Graphics object creation functions

9.3.5 Parenting

9.3.6 Positioning figures

9.4 Editing plots

9.4.1 Plot edit mode

9.4.2 Property Editor

9.5 Animation

9.5.1 Animation with Handle Graphics

9.6 Color etc.

9.6.1 Colormaps

9.6.2 Color of surface plots

9.6.3 Truecolor

9.7 Lighting and camera

9.8 Saving, printing and exporting graphs

9.8.1 Saving and opening figure files

9.8.2 Printing a graph

9.8.3 Exporting a graph

10 Vectors as Arrays and Other Data Structures

10.1 Update processes

10.1.1 Unit time steps

10.1.2 Non-unit time steps

10.1.3 Using a function

10.1.4 Exact solution

10.2 Frequencies, bar charts, and histograms

10.2.1 A random walk

10.2.2 Histograms

10.3 Sorting

10.3.1 Bubble sort

10.3.2 MATLAB's sort

10.4 Structures

10.5 Cell arrays

10.5.1 Assigning data to cell arrays

10.5.2 Accessing data in cell arrays

10.5.3 Using cell arrays

10.5.4 Displaying and visualizing cell arrays

10.6 Classes and objects

11 Errors and Pitfalls

11.1 Syntax errors

11.1.1 Incompatible vector sizes

11.1.2 Name hiding

11.2 Logic errors

11.3 Rounding error

Applications

12 Dynamical Systems

12.1 Cantilever beam

12.2 Electric current

12.3 Free fall

12.4 Projectile with friction

13 Simulation.

13.1 Random number generation

13.1.1 Seeding rand

13.2 Spinning coins

13.3 Rolling dice

13.4 Bacteria division

13.5 A random walk

13.6 Traffic flow

13.7 Normal (Gaussian) random numbers

14 Introduction to Numerical Methods

14.1 Equations

14.1.1 Newton's method

14.1.1.1 Complex roots

14.1.2 The Bisection method

14.1.3 fzero

14.1.4 roots

14.2 Integration

14.2.1 The Trapezoidal rule

14.2.2 Simpson's rule

14.2.3 quad

14.3 Numerical differentiation

14.3.1 diff

14.4 First-order differential equations

14.4.1 Euler's method

14.4.2 Example: Bacteria growth

14.4.3 Alternative subscript notation

14.4.4 A predictor-corrector method

14.5 Linear ordinary differential equations (LODEs)

14.6 Runge-Kutta methods

14.6.1 A single differential equation

14.6.2 Systems of differential equations: Chaos

14.6.3 Passing additional parameters to an ODE solver

14.7 A partial differential equation

14.7.1 Heat conduction

14.8 Other numerical methods

15 Signal Processing

15.1 Harmonic analysis

15.2 Fast Fourier Transform (FFT)

16 SIMULINK® Toolbox

16.1 Mass-spring-damper dynamic system

16.2 Bouncing ball dynamic system

16.3 The van der Pol oscillator

16.4 The Duffing oscillator

17 Symbolics Toolbox

17.1 Algebra

17.1.1 Polynomials

17.1.2 Vectors

17.1.3 Matrices

17.2 Calculus

17.3 Laplace and Z transforms

17.4 Generalized Functions*

17.5 Differential equations

17.6 Implementation of funtool, MuPAD, and help

17.6.1 The funtool

17.6.2 The mupad Notebook* and Symbolic help

Appendix A Syntax Quick Reference

A.1 Expressions

A.2 Function M-files

A.3 Graphics

A.4 if and switch

A.5 for and while.

A.6 Input/output.

Notes:

Description based on publisher supplied metadata and other sources.

Other Format:

Print version: Valentine, Daniel T. Essential MATLAB for Engineers and Scientists

ISBN:

9780123946133

OCLC:

827211648