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                    Braselton J.P. — Maple by Example 
                  
                
                    
                        
                            
                                
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                                    Название:   Maple by ExampleАвтор:   Braselton J.P.  Аннотация:  Maple by Example, Third Edition, is a reference/text with CD for beginning and experienced students, professional engineers, and other Maple users. This new edition has been updated to be compatible with the most recent release of the Maple software. Coverage includes built-in Maple commands used in courses and practices that involve calculus, linear algebra, business mathematics, ordinary and partial differential equations, numerical methods, graphics and more. The CD-ROM provides updated Maple input and all text from the book.
Язык:  Рубрика:  Технология /Статус предметного указателя:  Готов указатель с номерами страниц ed2k:   ed2k stats Издание:  3rd EditionГод издания:  2005Количество страниц:  568Добавлена в каталог:  26.02.2008Операции:  Положить на полку  |
	 
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                        315 343 224 320 23 22 &* 20 324 337 (D@@n), (f) (x)       102 (simplify@diff) 102 *       19 +       19 +/- toggle switch 17 -       19 /       19 :       32 :=       31 92 243 <       82 <=       82 <>       82 >       82 >=       82 ?       12 33 ?, contourplot 58 ?, factor 27 ?, linalg 311 ?, LinearAlgebra 311 ?, options 58 ?, Pdetools 518 ?, plot 12 41 ?, plot [options] 43 ?, plot3d 58 ?, plots 12 ?, simplex 373 ?, solve 73 ?, spacecurve 67 @       25 46 @@       47 245 297 abs 23 24 304 Algebraic operations 27 Alternating series 174 Alternating Series Test 174 Amortization 262 animate 100 107 285 522 animate3d 527 534 Animation 100 527 534 Annuities, annuity due 257 Annuities, deferred 260 Annuities, future value 256 Annuities, present value 259 Annuity 273 Antiderivatives 131 Antidifferentiation 131 Approximating arc length 154 Approximating definite integrals 144 Approximating lists 274 Approximating periodic function by Fourier series 285 Approximating periodic function by Fourier series, points of intersection 149 Arc length 154 Arc length, approximating 154 Arc length, function 384 Arc length, parametric equations 156 Arc length, polar coordinates 157 ArcCos 23 24 44 ArcCosh 23 arccot 23 arccsc 23 arcsec 23 arcsin 23 24 44 ArcSinh 23 arctan 23 45 ArcTanh 23 Area 134 148 214 Array 223 238 243 312 316 467 arrow 333 335 408 ASSIGN 276 382 536 Associated matrix 342 356 assume 29 38 155 Astroid 151 Asymptotes 49 Augmented matrix 342 Autonomous systems 504 Axes, Normal 60 BackwardSubstitute 345 Basic How To 14 Basins of attraction 300 Beam problem 124 Bendixson's theorem 507 Bessel functions 244 289 525 529 besseli 289 BgssglJ 244 526 531 Bifurcation diagrams 235 Butterfly 56 Calculus, Fundamental Theorem of 139 Catalan 23 Catalan's constant 23 Chain rule 110 changevar 133 144 Characteristic equation 444 460 Characteristic polynomial 360 CharacteristicPolynomial 361 367 Characteristics, method of 534 circle 65 390 Circle unit 52 Circle, graphing 62 Circle, osculating 389 Circuits, L-R-C 481 Circular membrane 528 Circular plate, normal modes 289 Circular plate, wave equation on 289 Clearing definitions 33 92 Clothoid 54 Coefficient matrix 342 Coefficients, undetermined 452 463 Cofactor matrix 326 Cofactor matrix, transpose of 326 Color, Graylevel 60 column 320 336 343 Column space 349 ColumnOperation 344 ColumnSpace 349 combine, expression,trig 25 combine, trig 25 99 Command clear 33 92 command-Q 6 Commands, long form 9 Commands, short form 9 completesquare 219 Composition operator 25 Composition operator, repeated 47 245 297 Compound amount 254 Compound interest 96 254 Computing limits 93 Conic sections 65 Conjugate transpose 369 Conservative vector field 391 393 constants, built-in 22 Constants, Catalan 23 Constants, exp(l) 22 Constants, gamma 23 Constants, I 22 74 Constants, Infinity 23 95 Constants, Pi 22 Contour plots 57 contourplot 58 60 79 114 191 207 394 434 contourplot, color 59 ContourPlot, Contours 62 198 contourplot, grid 59 contourplot, scaling 59 Convergence tests 170 convert, expression, par frac, variable 29 convert, expression,form 25 Convert, parfrac 168 420 Convert, polynom 182 Convolution integrals 480 Convolution theorem 480 Cooling, Newton's law of 425 Cornu spiral 54 cos 23 44 cosh 23 cot 23 Cramer's rule 458 470 Critical number 116 Critical points 116 201 Critical points, classifying 201 Critical points, degenerate 202 CrossProduct 331 408 Csc 23 Curl 393 395 403 Curvature 384 389 Curve-fitting 274 Curve-fitting with trigonometric functions 280 Curves, plane 384 Curves, smooth 156 Curves, space 384 Cycloid 112 Cylinder, inscribed in sphere 127 D       102 119 194 D, (f) (x)       102 D, [1] (f) (x,y)       194 D, [2] (f) (x,y)       194 Damping 448 505 Deferred annuities 260 defining functions 33 57 Defining lists 223 Defining matrices 312 Defining vectors 318 Definite integrals 139 Definite integrals, approximating 144 Delayed evaluation 41 denom 95 denom fraction 30 DEplot 489 491 493 507 Derivatives, calculating 102 Derivatives, definition 98 Derivatives, directional 196 Derivatives, first derivative test 116 Derivatives, first properties 116 Derivatives, mean-value theorem 115 Derivatives, oscillating 121 Derivatives, partial 193 Derivatives, second derivative test 117 202 Derivatives, second properties 116 DET 458 471 Determinan 1322 324 327 Determinants 322 DEtools 11 DEtools, DEplot 489 491 493 507 DEtools, matrixDE 487 501 DEtools, odeadvisor 433 435 DEtools, varpar 458 DEtools, varparam 470 473 diff 76 102 105 193 209 393 diff, f(x) ,x 102 diff, f(x) ,x$n 102 diff, f(x,y) ,       194 diff, f(x,y) ,x 193 diff, f(x,y) ,x$n 194 diff, f(x,y) ,x,y 193 diff, f(x,y) ,y 193 Difference quotient 98 Differential calculus 98 Differential equations, first-order, exact 433 Differential equations, first-order, homogeneous 423 435 Differential equations, first-order, linear 422 Differential equations, first-order, nonlinear 433 Differential equations, first-order, particular solution 423 Differential equations, first-order, separable 417 Differential equations, first-order, standard form 423 Differential equations, heat equation 286 Differential equations, higher-order linear, characteristic equation 460 Differential equations, higher-order linear, constant coefficients 460 Differential equations, higher-order linear, fundamental set of solutions 460 Differential equations, higher-order linear, general solution 460 Differential equations, higher-order linear, homogeneous 460 Differential equations, higher-order linear, Laplace transform method 473 Differential equations, higher-order linear, linearly dependent solutions 460 Differential equations, higher-order linear, linearly independent solutions 460 Differential equations, higher-order linear, standard form 460 Differential equations, higher-order linear, undetermined coefficients 463 Differential equations, higher-order linear, variation of parameters 469 Differential equations, linear systems 487 Differential equations, linear systems, fundamental matrix 487 Differential equations, linear systems, general solution 487 Differential equations, linear systems, homogeneous 487 Differential equations, linear systems, Laplace transform method 496 Differential equations, linear systems, particular solution 487 Differential equations, nonhomogeneous linear systems 498 Differential equations, nonhomogeneous linear systems, fundamental matrix 498 Differential equations, nonhomogeneous linear systems, particular solution 498 Differential equations, nonhomogeneous linear systems, variation of parameters 498 Differential equations, nonlinear higher-order 486 Differential equations, nonlinear systems 502 Differential equations, nonlinear systems, autonomous 504 Differential equations, nonlinear systems, linearization 504 Differential equations, partial, almost linear 534 Differential equations, partial, characteristic system 535 Differential equations, partial, first-order quasi-linear 534 Differential equations, partial, homogeneous 534 Differential equations, partial, linear 534 Differential equations, partial, method of characteristics 534 Differential equations, partial, one-dimensional wave 519 Differential equations, partial, two-dimensional wave 524 Differential equations, second-order linear, associated set of functions 452 Differential equations, second-order linear, characteristic equation 444 Differential equations, second-order linear, constant coefficients 444 Differential equations, second-order linear, fundamental set of solutions 444 Differential equations, second-order linear, general form 443 Differential equations, second-order linear, general solution 443 Differential equations, second-order linear, homogeneous 443 Differential equations, second-order linear, linearly independent solutions 444 Differential equations, second-order linear, standard form 443 Differential equations, second-order linear, undetermined coefficients 452 Differential equations, second-order linear, variation of parameters 457 Differentiation, implicit 105 Differentiation, rules 102 Dirac 484 Dirac delta function 484 Directional derivatives 196 Display 9 13 41 79 248 390 display, insequence 359 497 display, scaling 113 Divergence 392 396 402 Divergence of series, test 170 171 175 Divergence of vector field 391 Divergence theorem 401 Division by zero 32 DO       534 Domain, finding 82 dotprod 197 382 DotProduct 331 Double pendulum 494 Doubleint 212 Drumhead 527 DSOLVE 417 420 426 430 445 454 459 461 469 489 501 535 dsolve method 483 496 dsolve, numeric 437 441 502 515 Dual 376 Dual problem 375 Duffing's equation 505 Dynamical systems 232 245 294 Dynamical systems, 2-cycle 233 Dynamical systems, 4-cycle 233 
                            
                     
                  
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