Essential MATLAB for engineers and scientists

Content: Machine generated contents note: pt. 1 Essentials --
ch. 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 --
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 --
1.3.3.A program in action --
Summary --
Chapter exercises --
ch. 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. 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 --
Summary --
Chapter exercises --
ch. 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) --
Summary --
Chapter exercises --
ch. 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 --
Summary --
Chapter exercises --
ch. 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 --
Summary --
Chapter exercises --
ch. 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 --
Summary --
Chapter exercises --
ch. 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 --
Summary --
Chapter exercises --
ch. 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 --
Summary --
Chapter exercises --
ch. 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 --
Summary --
Chapter exercises --
ch. 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 --
Summary --
ch. 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 --
Summary --
Chapter exercises --
pt. 2 Applications --
ch. 12 Dynamical Systems --
12.1. Cantilever beam --
12.2. Electric current --
12.3. Free fall --
12.4. Projectile with friction --
Summary --
Chapter exercises --
ch. 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 --
Summary --
Chapter exercises --
ch. 14 Introduction to Numerical Methods --
14.1. Equations --
14.1.1. Newton's method --
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 --
Summary --
Chapter exercises --
ch. 15 Signal Processing --
15.1. Harmonic analysis --
15.2. Fast Fourier transform (FFT) --
ch. 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 --
Chapter exercises --
ch. 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 --
Chapter exercises --
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 --
A.7.load/save --
A.8. Vectors and matrices --
APPENDIX B Command and Function Quick Reference --
B.1. General purpose commands --
B.1.1. Managing commands --
B.1.2. Managing variables and the workspace --
B.1.3. Files and the operating system --
B.1.4. Controlling the Command Window --
B.1.5. Starting and quitting MATLAB --
B.2. Logical functions --
B.3. Language constructs and debugging --
B.3.1. MATLAB as a programming language --
B.3.2. Interactive input --
B.4. Matrices and matrix manipulation --
B.4.1. Elementary matrices --
B.4.2. Special variables and constants --
B.4.3. Time and date --
B.4.4. Matrix manipulation --
B.4.5. Specialized matrices --
B.5. Mathematical functions --
B.6. Matrix functions --
B.7. Data analysis --
B.8. Polynomial functions --
B.9. Function functions.
Abstract: