Symbolic math toolbox for use with MATLAB – user’s guide

MathWorks

Table of contents :
Tutorial……Page 7
Introduction……Page 8
Getting Help……Page 10
Symbolic Objects……Page 11
Creating Symbolic Variables and Expressions……Page 12
Symbolic and Numeric Conversions……Page 13
Constructing Real and Complex Variables……Page 15
Creating Abstract Functions……Page 16
Example: Creating a Symbolic Matrix……Page 17
The Default Symbolic Variable……Page 19
Using Symbolic Expressions……Page 21
Creating an M-File……Page 22
Differentiation……Page 23
Limits……Page 27
Integration……Page 29
Integration with Real Constants……Page 32
Real Variables via sym……Page 34
Symbolic Summation……Page 36
Taylor Series……Page 37
Plotting Symbolic Functions……Page 39
Simplifications……Page 53
collect……Page 54
horner……Page 55
factor……Page 56
simple……Page 58
subexpr……Page 62
subs……Page 65
Overview……Page 70
Rational Arithmetic……Page 71
Variable-Precision Numbers……Page 72
Another Example……Page 73
Basic Algebraic Operations……Page 75
Linear Algebraic Operations……Page 76
Eigenvalues……Page 80
Jordan Canonical Form……Page 87
Singular Value Decomposition……Page 88
Eigenvalue Trajectories……Page 92
Solving Algebraic Equations……Page 102
Several Algebraic Equations……Page 110
Single Differential Equation……Page 113
Example 2……Page 114
Several Differential Equations……Page 115
The Fourier and Inverse Fourier Transforms……Page 118
The Laplace and Inverse Laplace Transforms……Page 126
The Z– and Inverse Z–transforms……Page 132
References……Page 134
Special Mathematical Functions……Page 136
Diffraction……Page 138
Simple Example……Page 142
Vectorized Example……Page 145
Status Output Argument……Page 147
Packages of Library Functions……Page 149
Procedure Example……Page 151
Precompiled Maple Procedures……Page 154
Reference……Page 155
Arithmetic Operations……Page 162
ccode……Page 165
collect……Page 166
colspace……Page 167
compose……Page 168
conj……Page 169
cosint……Page 170
det……Page 171
diag……Page 172
diff……Page 174
digits……Page 175
double……Page 176
dsolve……Page 177
eig……Page 179
expm……Page 181
expand……Page 182
ezcontour……Page 183
ezcontourf……Page 185
ezmesh……Page 187
ezmeshc……Page 189
ezplot……Page 191
ezplot3……Page 194
ezpolar……Page 196
ezsurf……Page 197
ezsurfc……Page 199
factor……Page 201
findsym……Page 202
finverse……Page 203
fortran……Page 204
fourier……Page 205
Text Fields……Page 208
Control Buttons……Page 209
horner……Page 211
hypergeom……Page 212
ifourier……Page 214
ilaplace……Page 217
imag……Page 220
int……Page 221
inv……Page 222
iztrans……Page 224
jacobian……Page 226
jordan……Page 227
lambertw……Page 229
laplace……Page 230
latex……Page 233
limit……Page 234
maple……Page 235
Macintosh……Page 238
mfun……Page 239
mfunlist……Page 240
mhelp……Page 248
null……Page 249
numden……Page 250
poly……Page 251
poly2sym……Page 252
pretty……Page 253
procread……Page 254
rank……Page 255
real……Page 256
rref……Page 257
rsums……Page 258
simple……Page 259
simplify……Page 260
sinint……Page 261
size……Page 262
System of Equations……Page 263
subexpr……Page 265
Single input:……Page 266
Multiple Scalar Expansion:……Page 267
svd……Page 268
sym……Page 270
syms……Page 272
sym2poly……Page 273
symsum……Page 274
taylor……Page 276
taylortool……Page 279
tril……Page 280
triu……Page 281
vpa……Page 282
zeta……Page 284
ztrans……Page 285
Compatibility Guide……Page 289
Compatibility with Earlier Versions……Page 290
Obsolete Functions……Page 291
Index……Page 295