Essential Matlab for Scientists and Engineers

by Hahn

• ISBN13: 9780750652407
• ISBN10: 0750652403
• Edition: 2nd
• Format: Paperback
• Copyright: 2002-02-12
• Publisher: Elsevier Science & Technology

Summary

Based on a teach-yourself approach, the fundamentals of MATLAB are illustrated throughout with many examples from a number of different scientific and engineering areas, such as simulation, population modelling, and numerical methods, as well as from business and everyday life. Some of the examples draw on first-year university level maths, but these are self-contained so that their omission will not detract from learning the principles of using MATLAB. This completely revised new edition is based on the latest version of MATLAB. New chapters cover handle graphics, graphical user interfaces (GUIs), structures and cell arrays, and importing/exporting data. The chapter on numerical methods now includes a general GUI-driver ODE solver.

Table of Contents

Preface to the second edition	xiii
Preface to the first edition	xv
Part I Essentials	1	(156)
Getting going	3	(7)
Introduction	3	(1)
Using MATLAB	3	(6)
Website	9	(1)
MATLAB fundamentals	10	(48)
The MATLAB desktop	11	(1)
Programs	11	(4)
Cut and paste	11	(2)
Saving a program: script files	13	(1)
How a program works	14	(1)
Variables and the workspace	15	(2)
Variables	15	(1)
Case sensitivity	16	(1)
The workspace	16	(1)
Adding commonly used constants to the workspace	17	(1)
Arrays: vectors and matrices	17	(4)
Initializing vectors: explicit lists	17	(1)
Initializing vectors: the colon operator	18	(1)
linspace	19	(1)
Transposing vectors	19	(1)
Subscripts	19	(1)
Matrices	20	(1)
Capturing output	20	(1)
Vertical motion under gravity	21	(1)
Operators, expressions and statements	22	(9)
Numbers	22	(1)
Data types	23	(1)
Arithmetic operators	23	(1)
Precedence of operators	24	(1)
The colon operator	24	(1)
The transpose operator	25	(1)
Arithmetic operations on arrays	25	(1)
Expressions	26	(1)
Statements	26	(1)
Statements, commands and functions	27	(1)
Vectorization of formulae	27	(4)
Output	31	(2)
disp	31	(1)
format	31	(1)
Scale factors	32	(1)
Repeating with for	33	(6)
Square rooting with Newton	33	(1)
Factorials!	34	(1)
Limit of a sequence	34	(1)
The basic for construct	35	(1)
for in a single line	36	(1)
More general for	36	(1)
Avoid for loops by vectorizing!	36	(2)
A common mistake: forless loops!	38	(1)
Decisions	39	(6)
The one-line if statement	39	(1)
The if-else construct	40	(1)
The one-line if - else statement	41	(1)
elseif	41	(1)
Logical operators	42	(1)
Multiple ifs versus elseif	42	(2)
Nested ifs	44	(1)
Vectorizing ifs?	44	(1)
Switch	45	(1)
Complex numbers	45	(1)
More on input and output	46	(2)
fprintf	47	(1)
Output to a disk file with fprintf	47	(1)
General file I/O	48	(1)
Saving and loading data	48	(1)
Odds'n ends	48	(2)
Variables, functions and scripts with the same name	48	(1)
The input statement	48	(2)
Shelling out to the operating system	50	(1)
More Help functions	50	(1)
Programming style	50	(8)
Developing algorithms	58	(5)
Structure plans	58	(2)
Quadratic equation	59	(1)
Structured programming with functions	60	(3)
MATLAB functions	63	(8)
Projectile motion	63	(2)
Some common functions	65	(6)
Logical vectors	71	(15)
Examples	72	(3)
Discontinuous graphs	72	(1)
Avoiding division by zero	73	(1)
Avoiding infinity	74	(1)
Counting random numbers	74	(1)
Rolling dice	75	(1)
Logical operators	75	(3)
Operator precedence	76	(1)
Danger	77	(1)
Logical operators and vectors	77	(1)
Subscripting with logical vectors	78	(1)
Logical functions	79	(2)
Using any and all	80	(1)
Logical vectors instead of elseif ladders	81	(5)
Matrices	86	(16)
Some basics	86	(12)
A concrete example	86	(1)
Creating matrices	87	(1)
Subscripts	88	(1)
Transpose	88	(1)
The colon operator	88	(3)
Duplicating rows and columns: tiling	91	(1)
Deleting rows and columns	92	(1)
Elementary matrices	92	(1)
Specialized matrices	93	(1)
Using MATLAB functions with matrices	94	(1)
Manipulating matrices	94	(1)
Array (element-by-element) operations on matrices	95	(1)
Matrices and for	95	(1)
Visualization of matrices	96	(1)
Vectorizing nested fors: loan repayment tables	96	(2)
Multi-dimensional arrays	98	(1)
Matrix operations	98	(2)
Matrix multiplication	98	(1)
Matrix exponentiation	99	(1)
Other matrix functions	100	(2)
Introduction to graphics	102	(22)
Basic 2-D graphs	102	(8)
Labels	103	(1)
Multiple plots on the same axes	104	(1)
Line styles, markers and colour	105	(1)
Axis limits	105	(1)
Multiple plots in a figure: subplot	106	(1)
figure, clf and cla	107	(1)
Graphical input	107	(1)
Logarithmic plots	107	(1)
Polar plots	108	(1)
Plotting rapidly changing mathematical functions: fplot	108	(1)
The property editor	109	(1)
3-D plots	110	(14)
plot3	110	(1)
Animated 3-D plots with comet3	110	(1)
Mesh surfaces	110	(2)
Contour plots	112	(1)
Cropping a surface with NaNs	113	(1)
Visualizing vector fields	114	(1)
Visualization of matrices	115	(1)
Rotation of 3-D graphs	116	(1)
Other cool graphics functions	116	(8)
Loops	124	(12)
Determinate repetition with for	124	(2)
Binomial coefficient	124	(1)
Update processes	125	(1)
Nested fors	126	(1)
Indeterminate repetition with while	126	(10)
A guessing game	126	(1)
The while statement	127	(1)
Doubling time of an investment	128	(1)
Prime numbers	129	(1)
Projectile trajectory	129	(2)
break and continue	131	(1)
Menus	131	(5)
Errors and pitfalls	136	(6)
Syntax errors	136	(2)
lasterr	138	(1)
Pitfalls and surprises	138	(1)
Incompatible vector sizes	138	(1)
Name hiding	138	(1)
Other pitfalls for the unwary	139	(1)
Errors in logic	139	(1)
Rounding error	139	(1)
Trapping and generating errors	140	(2)
Function M-files	142	(15)
Some examples	142	(2)
Inline objects: harmonic oscillators	142	(1)
Function M-files: Newton's method again	143	(1)
Basic rules	144	(5)
Subfunctions	148	(1)
Private functions	148	(1)
P-code files	148	(1)
Improving M-file performance with the profiler	149	(1)
Function handles	149	(1)
Command/function duality	150	(1)
Function name resolution	151	(1)
Debugging M-files	151	(2)
Debugging a script	151	(2)
Debugging a function	153	(1)
Recursion	153	(4)
Part II More Advanced Topics and Applications	157	(110)
Vectors as arrays: working with subscripts	159	(11)
Update processes	159	(5)
Unit time steps	159	(3)
Non-unit time steps	162	(1)
Using a function	163	(1)
Exact solution	164	(1)
Frequencies, bar charts and histograms	164	(2)
A random walk	164	(1)
Histograms	165	(1)
Sorting	166	(4)
Bubble Sort	166	(2)
MATLAB's sort	168	(2)
Arrays of characters: strings	170	(8)
Basic concepts	170	(3)
Assignment	170	(1)
Input	170	(1)
Strings are arrays	171	(1)
Concatenation of strings	171	(1)
ASCII codes, double and char	171	(1)
fprintfing strings	172	(1)
Comparing strings	173	(1)
Other string functions	173	(1)
Two-dimensional strings	173	(1)
eval and text macros	174	(4)
Error trapping with eval and lasterr	175	(1)
eval with try...catch	175	(3)
Advanced data structures	178	(6)
Structures	178	(2)
Cell arrays	180	(2)
Assigning data to cell arrays	180	(1)
Accessing data in cell arrays	181	(1)
Using cell arrays	181	(1)
Displaying and visualizing cell arrays	182	(1)
Classes and objects	182	(2)
More graphics	184	(14)
Handle Graphics	184	(5)
Getting handles	184	(1)
Graphics object properties and how to change them	185	(2)
A vector of handles	187	(1)
Graphics object creation functions	187	(1)
Parenting	187	(1)
Positioning figures	188	(1)
Editing plots	189	(1)
Plot edit mode	189	(1)
Property Editor	189	(1)
Animation	190	(3)
Animation with Handle Graphics	191	(2)
Colour etc.	193	(2)
Colormaps	193	(1)
Colour of surface plots	194	(1)
Truecolor	195	(1)
Lighting and camera	195	(1)
Saving, printing and exporting graphs	196	(2)
Saving and opening figure files	196	(1)
Printing a graph	196	(1)
Exporting a graph	196	(2)
Graphical User Interfaces (GUIs)	198	(9)
Basic structure of a GUI	198	(1)
A first example: getting the time	199	(3)
Exercise	202	(1)
Newton again	202	(2)
Axes on a GUI	204	(1)
Adding colour to a button	205	(2)
Importing and exporting data	207	(7)
The load and save commands	207	(1)
Exporting text (ASCII) data	207	(1)
Importing text (ASCII) data	208	(1)
Exporting binary data	208	(1)
Importing binary data	208	(1)
The Import Wizard	208	(1)
Importing ASCII data	209	(1)
Importing binary data	209	(1)
Low-level file I/O functions	209	(2)
Writing binary data	209	(2)
Reading binary data	211	(1)
Changing binary data	211	(1)
Other import/export functions	211	(3)
Simulation	214	(10)
Random number generation	214	(1)
Seeding rand	215	(1)
Spinning coins	215	(1)
Rolling dice	216	(1)
Bacteria division	216	(1)
A random walk	216	(2)
Traffic flow	218	(2)
Normal (Gaussian) random numbers	220	(4)
More matrices	224	(12)
Leslie matrices: population growth	224	(3)
Markov processes	227	(2)
A random walk	227	(2)
Linear equations	229	(4)
MATLAB's solution	229	(1)
The residual	230	(1)
Over-determined systems	230	(1)
Under-determined systems	231	(1)
Ill conditioning	231	(1)
Matrix division	232	(1)
Sparse matrices	233	(3)
Introduction to numerical methods	236	(31)
Equations	236	(4)
Newton's method	236	(2)
The Bisection method	238	(2)
fzero	240	(1)
roots	240	(1)
Integration	240	(2)
The Trapezoidal rule	240	(1)
Simpson's rule	241	(1)
quad	242	(1)
Numerical differentiation	242	(1)
diff	243	(1)
First-order differential equations	243	(4)
Euler's method	243	(1)
Example: bacteria growth	244	(2)
Alternative subscript notation	246	(1)
A predictor-corrector method	246	(1)
Linear ordinary differential equations (LODEs)	247	(1)
Runge-Kutta methods	247	(4)
A single differential equation	247	(1)
Systems of differential equations: chaos	248	(2)
Passing additional parameters to an ODE solver	250	(1)
A GUI ODE solver: Driver	251	(9)
How to use Driver	251	(3)
How Driver works	254	(2)
Future development of Driver	256	(1)
Listing of the Driver application M-file	256	(4)
A partial differential equation	260	(2)
Heat conduction	260	(2)
Other numerical methods	262	(5)
Appendix A Syntax quick reference	267	(4)
A.1 Expressions	267	(1)
A.2 Function M-files	267	(1)
A.3 Graphics	267	(1)
A.4 if and switch	268	(1)
A.5 for and while	268	(1)
A.6 Input/output	269	(1)
A.7 load/save	270	(1)
A.8 Vectors and matrices	270	(1)
Appendix B Operators	271	(1)
Appendix C Command and function quick reference	272	(7)
C.1 General purpose commands	273	(1)
C.2 Logical functions	273	(1)
C.3 Language constructs and debugging	274	(1)
C.4 Matrices and matrix manipulation	274	(1)
C.5 Mathematical functions	275	(1)
C.6 Matrix functions	276	(1)
C.7 Data analysis	276	(1)
C.8 Polynomial functions	276	(1)
C.9 Function functions	276	(1)
C.10 Sparse matrix functions	276	(1)
C.11 Character string functions	277	(1)
C.12 File I/O functions	277	(1)
C.13 Graphics	277	(2)
Appendix D ASCII character codes	279	(1)
Appendix E Solutions to selected exercises	280	(11)
Index	291