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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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Предметный указатель
LinearAlgebra, Transpose 322 324 351 LinearAlgebra, Worm 328 332 LinearAlgebra, ZeroVector 319 LinearProgramming 378 LinearSolve 336 338 Linelnt 397 LIST 35 223 list, [i..j] 224 238 list, [i] 224 238 listplot 228 LISTS 74 223 Lists, approximating 274 Lists, defining 223 Lists, graphing 227 247 Lists, manipulating 238 Lists, nested 316 list_of_rows 312 Lituus 56 ln 23 24 95 Loans, amortized 262 Loans, amount paid towards principal 263 Loans, total interest paid on 264 Local maximum 202 Local minimum 202 Logarithmic integral 229 Logistic equation 421 Logistic equation with predation 440 Madaurin, polynomial 179 Madaurin, series 179 Mandelbrot set 302 306 Mandelbrot set, generalized 304 MAP 92 117 239 map, diff 104 map, f,list 35 104 136 239 Map, Ikeda 300 map, int 132 237 map, integrate 386 Maple, Preferences 6 Matrices, addition of 323 Matrices, associated 342 356 Matrices, augmented 342 Matrices, coefficient 342 Matrices, cofactor 326 Matrices, cofactor, transpose of 326 Matrices, column space 349 Matrices, conjugate transpose 369 Matrices, defining 312 Matrices, determinant 322 Matrices, eigenvalues 360 370 Matrices, extracting, columns 320 Matrices, extracting, elements 320 Matrices, extracting, rows 320 Matrices, fundamental 487 498 Matrices, Hermitian adjoint 369 Matrices, identity 317 Matrices, inverse 314 322 326 Matrices, Jacobian 505 515 Matrices, Jordan 366 Matrices, Jordan block 365 Matrices, minimal polynomial 366 Matrices, nullity 348 349 Matrices, nullspace 348 349 Matrices, products of 324 Matrices, QR factorization 369 Matrices, rank 349 Matrices, reduced row echelon form 326 343 Matrices, row space 349 Matrices, transpose 322 Matrices, unitary 369 Matrices, upper triangular 369 Matrix 312 314 316 320 matrixDE 487 501 Matrixlnverse 314 322 324 336 MatrixPower 315 325 Max/min problems 121 Max/min problems, beam 124 Max/min problems, cylinder inscribed in sphere 127 Max/min problems, stayed-wire 129 Max/min problems, water crossing 122 maximize 373 maximize, NONNEGATIVE 374 Maximum, relative 117 202 Mean-value theorem 115 Membrane, circular 528 Menu 15 Method of characteristics 534 Method of disks 161 middlebox 135 middlesum 135 145 Midpoint rule 145 Minimal polynomial 366 MinimalPolynomial 366 Minimize 373 382 minimize, NONNEGATIVE 380 Minimum, relative 117 202 Moebius strip 409 Momemtum 429 Monotonic sequences 164 Motion of string 519 Motion, harmonic 448 Motion, Newton's second law of 429 Multi-variable calculus 190 Multiply 379 324 337 naming, objects 31 nested lists 316 new users 14 New Users, Quick Tour 14 Newton's law of cooling 425 Newton's Second Law of Motion 429 Node, stable 507 Node, unstable 516 Nonlinear differential equations, first-order 433 Nonorientable surfaces 409 nops 228 230 250 Norm 139 328 329 normal 60 Normal lines 109 Normal vector 384 normal, expression 29 Normalize 332 387 394 nth-order linear differential equation 460 Nullity 348 349 NullSpace 348 349 numer 95 numer fraction 30 Numerical calculations 19 objects, naming 31 odeadvisor 433 435 odeplot 437 439 503 One-dimensional heat equation 286 op 224 238 op, i,list 224 op, i..j,list 224 Order preserving path 406 Order reversing path 409 Orientable surfaces 406 Oriented surfaces 401 Orthogonal curves 113 Orthogonal lines 113 Orthonormal vectors 352 Orthopoly, H 236 Osculating circle 389 Output, suppressing 32 Outward flux 402 P-series 171 Packages 10 parabola 65 Parameters, variation of 457 469 498 Parametric curves, graphing 66 Parametric equations of tangent 111 Parametric equations, arc length 156 Parametric equations, area under graph 150 Parametric equations, graphing 51 Parametric surfaces 384 Partial derivatives 193 Partial differential equations, almost linear 534 Partial differential equations, characteristic system 535 Partial differential equations, first-order quasi-linear 534 Partial differential equations, heat equation 286 Partial differential equations, homogeneous 534 Partial differential equations, linear 534 Partial differential equations, method of characteristics 534 Partial differential equations, one-dimensional wave 519 Partial differential equations, two-dimensional wave 524 Partial fraction decomposition 29 Partials test 201 Patch and Contour 60 Path, order preserving 406 Path, order reversing 409 PDEplot 536 Pdeplot, basechar 537 PDEtools 11 518 Pdetools, Pdeplot 536 Pdetools, Pdeplot, basechar 537 pdsolve 523 535 Pendulum, double 494 Pendulum, forced, with damping 505 Periodic functions, approximating by Fourier series 285 phaseportrait 517 PI 22 piecewise 37 Plane curves 384 Planes, tangent 205 plot 12 39 107 274 283 419 501 Plot, color 43 232 plot, coords 51 153 plot, f (x) ,x=a. .b 40 Plot, linestyle 44 plot, scaling 43 76 plot, style 165 227 232 247 Plot, symbol 227 232 248 Plot, symbolsize 248 plot, view 44 49 plot, viewpoint 49 plot, [fl(x),f2(x), 44 plot, [x(t),y(t),t=a..b] 51 PLOT3D 58 159 161 191 206 292 407 Plot3D, Axes 59 68 197 plot3d, coords 221 plot3d, grid 59 68 197 plot3d, gridstyle 197 plot3d, orientation 200 plot3d, scaling 68 plots 11 12 plots, animate3d 527 534 plots, arrow 408 plots, circle 390 plots, contourplot 58 60 79 114 191 207 394 434 plots, contourplot, color 59 plots, contourplot, contours 62 198 plots, contourplot, grid 59 plots, contourplot, scaling 59 plots, display 9 13 41 79 248 390 plots, display, insequence 359 plots, display, scaling 113 plots, fieldplot 394 421 440 plots, gradplot 201 395 plots, gradplot3d 396 plots, implicitplot 63 219 plots, implicitplot, color 64 66 plots, implicitplot, grid 64 66 plots, implicitplot, scaling 66 plots, implicitplot3d 72 395 plots, implicitplot3d, axes 72 plots, implicitplot3d, grid 72 plots, inequal 376 plots, listplot 228 plots, odeplot 437 439 503 plots, polarplot 51 plots, spacecurve 67 206 208 plots, spacecurve, axes 67 plots, spacecurve, color 67 plots, spacecurve, nurapoints 67 plottools 10 plottools, arrow 333 335 plottools, icosahedron 11 plottools, rectangle 359 plottools, rotate 358 plottools, sphere 11 plottools, torus 10 Polar coordinates 111 152 193 215 Polar coordinates, arc length 157 Polar coordinates, area enclosed by graphs 152 Polar coordinates, related to rectangular coordinates 152 Polar functions 51 polarplot 51 56 Polynomials, approximations by 278 Polynomials, characteristic 360 Polynomials, Hermite 236 Polynomials, interpolating 278 Polynomials, Madaurin 179 Polynomials, minimal 366 Polynomials, Taylor 179 Potential function 391 Power rule 115 Power series 176 188 Power series, interval of convergence 176 Predation 440 Predator-prey equations 508 Predator-prey equations, standard of Kolmogorov type 510 Preferences 6 Present value 259 Prime Difference function 228 Prime number theorem 230 Principal angles, values of trigonometric functions for 242 PrincipalNormal 388 Principle of superposition 520 proc 36 proc, remember 189 232 371 526 532 Product rule 110 Products of vectors, cross 330 Products of vectors, dot 330 Projection of vector 334 QR method 369 QRDecomposition 369 Quadric surfaces 69 Quick Tour 14 quit 6 RadiusOfCurvature 390 radsimp 386 radsimp, expression 28 rand 35 92 227 Rank 349 Ratio Test 170 173 175 rectangle 359 Rectangular coordinates, polar coordinates related to 152 Recurrence equations 269 ReducedRowEchelonForm 327 336 343 349 Relative maximum 117 202 Relative minimum 117 202 Resistive force 429 Rest point 504 restart 33 Resultant force 429 RETURN 4 rhs 419 rightbox 135 rightsum 135 145 Root test 170 173 roots of negative numbers 21 51
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