Cooper J. — A Matlab Companion for Multivariable Calculus :: Электронная библиотека попечительского совета мехмата МГУ

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Cooper J. — A Matlab Companion for Multivariable Calculus

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Название: A Matlab Companion for Multivariable Calculus

Автор: Cooper J.

Аннотация:

Designed for a course in multivariable calculus, this book provides a collection of MATLAB programs and exercises, along with basic concepts, computations, and graphics. Chapters focus on the command line, mfiles, vectors, curves, functions of two and three variables, solving equations, optimization, multiple integrals, scalar integrals, and electrostasis and fluid flow, Exercises include applications to economics, physics, engineering, and biology. Cooper teaches mathematics at the University of Maryland.

Язык:

Рубрика: Технология/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 294

Добавлена в каталог: 10.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Accelerated flow      236
Acceleration      50
Affine approximation      180
Affine transformation      179
animate      51
Arc length      54 197
Array operations, division      8
Array operations, exponentiation      7
Array operations, multiplication      7
Array-smart      10 23 69
arrow      33
Arrow3      33
Axis      19 90
Axis equal      34 220
Axis image      220
Azimuth      41
Backward difference      62
Binormal      57
break      278
Catenoid      210
Center of mass      198
Centered difference      63
char      79
Characteristic function      23 91
Circulation      228
clear      19
ClF      19
CLOSE      19
Color slices      105
colorbar      89
colormap      73 89
command line      1
Comment line      26
Conservative vector field      227
Constraint      153
contour      77
Contour lines      76
Critical point      141
cross      35
Cross product      35
Curl      227 231 239
Curvature      57
Curve, parametric equations of      47
Cycloid curve      52
Cylinder      111 115
Data classes      271
diary      28
diff      13 56
Difference approximation, backward      62
Difference approximation, centered, for first derivative      63
Difference approximation, centered, for second derivative      63
Difference approximation, forward      62
Difference formula, centered, for divergence      239
Dimensions of matrix      4
Direction of vector      33
Directional derivative      81
Discriminant      142
Divergence      234
Divergence theorem      234
divg      239
Dot      34
double      14
DOUBLE PRECISION      271
Editor/Debugger      21
Elevation      41
Ellipsoid      102
else      277
elseif      277
END      25 277
erf(x)      11
Error estimate for Newton’s method      126
Error estimate for Simpson’s Rule      175
error message      2
ezcontour      78
ezmesh      78
EZPLOT      18 24 48
ezplot3      49 51
ezsurf      78 116
feval      73 274
fill      36
fill3      36
findcrit      150
Flux integrals      232
flux2      232
For loop      25 275
format long      2
format short      2
Forward difference      62
frenet      58
Frenet frame      57
Function functions      24
fzero      24 26 128 274
Geodesic dome      204
Gradient, vector      81 108
Gradient, vector field      83 108 227
Graphing , labels and titles      18
Graphing in three dimensions, numerical functions      70
Graphing in two dimensions, color table      17
Graphing in two dimensions, numerical functions      16
Graphing in two dimensions, symbolic functions      18
Green’s Theorem      228
grid      70
Heat flux      97
Helix      48
help      3
Hessian matrix      142 158
hold on      17
Horizontally simple      184
Hyperbolic paraboloid      102
Hyperboloid      102
if      277
impl      104 159
Inline function      11 271
int      13 56 171
Jacobian matrix      131 181
Lagrange      155
Lagrange multiplier      154
Level curves      76 145
Level set      76 101
Level surfaces      101
Line integrals      223
Line integrals, without parameterization      225
Line, parametric equations of      36
Linear systems      8
linspace      6
Lint      226
lookfor      20
Magnitude of vector      33
Maple      12
Matrix      4
Matrix multiplication      8 9
MAX      89 147 148

mesh      70
meshgrid      70
mfiles      21
mfiles, function      22
mfiles, script      25
mfiles, use of workspace      26
Midpoint rule      275
MIN      147
Minimal surface problem      210
Moebius band      122
more on      20
mslice      82
MUG      117
newton2      133
Newton’s method in one dimension      126 277
Newton’s method in two dimensions      130
Norm      34
Norm of vector      33
Normal to plane      37
Normal to surface      110 118
Numerical differentiation      62
Numerical function      10 24
ones      6
Osculating plane      58
Paraboloid      102
Parametric equations of curve      47
Parametric equations of line      36
Parametric equations of plane      38
Parametric representation of cylinder      111
Parametric representation of sphere      111
Parametric representation of surface      110 201
Parametric representation of torus      114
Partial derivative      79
Patch      203
pcolor      231
Piecewise function      23
Piecewise smooth curve      51
Plane      39
Plane, equation of      37
Plane, normal to      37
Plane, parametric equations of      38
Plateau’s problem      210
plot      16 24 35
plot3      35 48
Polar coordinates      186
Polygonal approximation      54 55
Principal normal      57
Pullback      183
qsurf      274
quad      176
quad8      25 55 176
Quadric surfaces      101
quit      3
quiver      84 219
quiver3      221
rotate3d      42
Rotation matrix      60
Rotations      59
Ruled surface      122
SAVE      27
scalar      4
Scalar product      34
Secant vector      49
Second Derivative Test      142
shading flat      73
shading interp      73
Shear flow      230
simp2      175
simp3      189
Simpson matrix      174
Simpson vector      173
Simpson’s rule      172
SIZE      5
Slice      106 157
Smooth curve      51
Solve      15 124
Speed      50
Sphere      111
Spherical coordinates      113 190
String      272
subplot      93
SUBS      14
SUM      275
Suppressing output      2
surf      72
Surface area by integration, given parametrically      201
Surface area by integration, graph of function      199
Surface area by patches      205
Surface of revolution      113
Surface, patch representation      203
Surface, ruled      122
Symbolic differentiation      13
Symbolic equation solver      15 123
Symbolic function expression      10 12 24 271
Symbolic integration      13 171
SYMS      12
Tangent plane      87 109
Tangent plane approx.      86 131 180
Tangent vector to curve      49
Tangent vector to line      36
Taylor expansion      62 88 145
Torus      114
Transformation      180
TRANSPOSE      4
Transpose, Hermitian      5
Trapezoid Rule      193
Trf      183
Triple integrals      188
tsurf      208
TYPE      19 29
Unit tangent vector      57
Vector      3
Vector fields      219
Vector, column      3
Vector, direction of      33
Vector, magnitude of      33
Vector, norm of      33
Vector, row      3
Vectorize      273
Vectorizing computations      275
Velocity      50
Vertically simple      184
view      41
Vortex flow      230
which      20
while loops      276
who      19
whos      272
Work      224
xslice      80
yslice      80
zeros      6
Zoom      19

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