Greenberg M.D. — Advanced engineering mathematics :: Электронная библиотека попечительского совета мехмата МГУ

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Greenberg M.D. — Advanced engineering mathematics

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Название: Advanced engineering mathematics

Автор: Greenberg M.D.

Аннотация:

This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers need to know. Equally as effective as either a textbook or reference manual, it approaches mathematical concepts from an engineering perspective, making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style, offering easy accessibility and frequent opportunities for application and reinforcement.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Second Edition

Год издания: 1998

Количество страниц: 1324

Добавлена в каталог: 06.12.2009

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

Предметный указатель

Linear differential operator      85 945
Linear first-order ODE      19
Linear independence      444
Linear linearization      361
Linear programming      670
Linear system      38
Linear system of first-order ODE's      156
Linearly dependent (LD)      76
Linearly independent (LI)      76
Liouville's formula      80 82
Liouville, J.      80 887
Local maximum      658
Local minimum      659
Logarithmic decrement      115
Logistic equation      42
Long, R.L.      416
Lorentz transformation      605
Lorenz equations      386
Lorenz, E.N.      338 386
Lottka — Volterra model      367
Low (frequency) mode      166 559
Lower triangular matrix      490
LU-factorization      520
Luke, Y.L.      983
Lumped-parameter model      1034
Maak, W.      648
Mach number      59 505 799
Mahoney, J.      499
Main diagonal      472
Mandelbrot, B.      338
Manifold      356
Maple commands, ?lib      31
Maple commands, array      406
Maple commands, contourplot      760
Maple commands, convert      1266
Maple commands, det      492
Maple commands, diff      30
Maple commands, dsolve      30 60 108 168 190 210 241 310 321
Maple commands, eigenvals      550
Maple commands, eigenveets      550
Maple commands, eonformal      1123
Maple commands, evaif      228 973
Maple commands, evalni      478
Maple commands, exponential      588
Maple commands, fourier      931
Maple commands, fsolve      107 902
Maple commands, implicitplot      387 1042
Maple commands, int      59 228 730
Maple commands, inverse      522
Maple commands, invfourier      931
Maple commands, invlaplace      253
Maple commands, laplace      253
Maple commands, linsolve      406
Maple commands, mtaylor      640
Maple commands, phaseportrait      31 345 370
Maple commands, plot3d      760
Maple commands, rank      506
Maple commands, readlib(fourier)      931
Maple commands, readlib(laplace)      253
Maple commands, readlib(taylor)      640
Maple commands, rsolve      332
Maple commands, spacecurve      720
Maple commands, subs      671
Maple commands, sum      973
Maple commands, taylor      190
Maple commands, transpose      485
Maple commands, with(DEtools)      31 310 321 345
Maple commands, with(linalg)      406
Maple commands, with(orthopoly)      216
Maple commands, with(plots)      387
Maple names, Dirac(t) for $\delta(t)$       279
Maple names, Heaviside(t) for H(t)      274
Maple names, I for i      609
Maple names, P(n,x) for $\mathrm{P}_\mathrm{n} \left(\mathrm{x}\right)$       216
Mapping      331 530 614 1114
Mapping, table of conformal maps      Appendix F
Markov (stochastic) matrix      481 549
Markov process      546
Marsden, J.E.      725 759 822
Mathematical induction      90
Matrix      402 465
Matrix, block      475
Matrix, block diagonal      493
Matrix, coefficient      472
Matrix, complex      603
Matrix, conformable      467 469
Matrix, diagonal      473
Matrix, exponential      586
Matrix, hermitian      604
Matrix, identity      473
Matrix, involutory      480
Matrix, lower triangular      490
Matrix, Markov      481
Matrix, modal      571
Matrix, negative definite      592
Matrix, nilpotent      480
Matrix, nullity of      502
Matrix, order of      472
Matrix, orthogonal      575
Matrix, partitioning of      475
Matrix, positive definite      592
Matrix, rank of      495
Matrix, square      472
Matrix, stochastic      549
Matrix, symmetric      554
Matrix, transpose      481
Matrix, triangular      480
Matrix, tridiagonal      552 566 1006
Matrix, unitary      608
Matrix, upper triangular      490
Matrix, zero      468
Maximum      656 658
Maximum principle      1062 1076
Maxwell reciprocity      517
Maxwell's equations      776 1022
Maxwell, J.C.      810
McGregor, J.L.      1038
Mean value theorem      626 638 724 728
Mechanical oscillator in phase plane      338
Mechanical oscillator with cubic damping      362
Mechanical oscillator, forced oscillation      2 149 562
Mechanical oscillator, free oscillation      110 115 575
Mechanical oscillator, modeling the ODE      10
Mechanical oscillator, solution by Laplace transform      261
Mechanical oscillator, two-mass system      159 165 557 562
Method of Frobenius      195
Midpoint rule      299
Minimum      656 659
Minimum principle      1077 1107
Minkowski space      603
Minor      487
Minorsky, N.      337
Mixed boundary conditions      893
Mixing problems      42
ML bound      1186
Modal matrix      571
Modes      1026
Modified Bessel equation      236
Modified Bessel function      237 1078
Modified Elder method      304
Modulus      1126
Moebius (bilinear) transformation      1158
Moment of force      686
Moment of inertia      731 732 747
Moon beam experiment      383
Moon, F.C.      383
Moore — Penrose generalized inverse      513
Morse, P.M.      986
Multi-step method      301 308
Multiply connected region      826

Myers, Yisraela N.      xix
n-Space      420
n-tuple      420
Natural frequency      110 559
Nearest-neighbor coupling      566 1006
Negative definite matrix      592
Neighborhood      615 1114
Nerve impulse      375
Neumann boundary condition      952 1104
Newton's law of cooling      45 949 950 978
Newton's law of gravitation      53 752
Noble, B.      499
Nodal line      1039
Nodal points      999
Node      355
Nonbomogeneous algebraic equation      393
Nonbomogeneous differential equation      7
Nonbomogeneous problem      56
Nondimensional parameters      503 508
Nondimensionalization      56
Nonelenientary singularities      357
Nonlinear differential equation      7
Nonuniqueness for boundary-value problems      88
Norm      413 421 601 718 723 882
Norm axioms      434
Norm properties      425
Norm, Euclidean      422
Normal distribution      984
Normal probability distribution      130
Normal to surface      734 797
Normalization      427
Nth-order pole      1235
nth-order temi      90
Null space      502
Nullity      502
Nullspace (kernel)      531
Numerical integration      3120
O'Neil, P.V.      931
Odd function      846
ODE      3
Ohm's law      35
Open interval $\left( \mathrm{x}_1, \mathrm{x}_2 \right)$       49 422
Open region (domain)      616 1114
Open surface      814
Operations research (OR)      670
Operator      530
Operator, projection      538
Operator, translation      538
Order of differential equation      4
Order of magnitude      225
Order of magnitude symbol      226
Order of PDE      944
Order-p method      297
Ordered pair      1110
Ordinary convergence      176 1038
Ordinary differential equation      2
Ordinary differential equation and determinism      387
Ordinary differential equation, autonomous      344
Ordinary differential equation, Bernoulli      32 840
Ordinary differential equation, Bessel      230 908
Ordinary differential equation, Cauchy — Euler      118
Ordinary differential equation, change-of-type equation      948
Ordinary differential equation, Clairaut      34
Ordinary differential equation, complementary solution      28 134
Ordinary differential equation, dynamical systems      33
Ordinary differential equation, exact      62
Ordinary differential equation, first order      18
Ordinary differential equation, general solution      83 86 134
Ordinary differential equation, homogeneous      7 61 117 134
Ordinary differential equation, limit cycle      374
Ordinary differential equation, linear      7
Ordinary differential equation, linear first-order      19
Ordinary differential equation, nonhomogeneous      7
Ordinary differential equation, order      4
Ordinary differential equation, reducible to Bessel      238
Ordinary differential equation, Riccati      33 129
Ordinary differential equation, separable      46
Ordinary differential equation, solution      4
Ordinary point      193
Orientable surface      758
Oriented curve      810
Orthogonal      426 684 882
Orthogonal basis      453 557 607
Orthogonal coordinates      788
Orthogonal Legendre polynomials      214
Orthogonal matrix      528 575
Orthogonal modes      559 1026
Orthogonal projection      458 460 882
Orthogonal separation      695
Orthogonal set      426 684
Orthogonality relations      859
Orthonormal (ON) set      427
Oscillator with cubic damping      362
Osculating plane      72
Output      38
P-series      219 856 875
Parabolic PDE      947
Parametrization      714
Parseval equality      886
Partial derivative      620
Partial differential equation (PDE)      3
Partial fraction expansion      49 56 256 264 Appendix
Partial sums      176
Particular solution      83
Particular solution of linear algebraic equation      501
Particular solution of ODE      134
Particular solution of PDE      1032
Particular solution, complex function method      156
Partition      718 723
Partitioning      475
Pauli spin matrix      599
PDE      3
Pederson, R.N.      1199
Pendulum in phase plane      363
Pendulum, governing ODE      3
Pendulum, grandfather clock      115
Pendulum, tilted      117
Period      286
Period-k oscillation      384
Periodic boundary conditions      905 906 907
Periodic function      286 848
Phase angle      44 111
Phase plane      339
Phase portrait      339
Phase trajectory      339
phase velocity      342
Pick's law      801
Piecewise continuity      249
Piecewise smooth curve      715
Piecewise smooth surface      727
Pivoting      405
Plane      692
Plane polar coordinates      700
Poincare, H.L.      337 387
Poisson equation      1058 1068
Poisson equation, existence of solution      1069
Poisson integral formula for circular disk      1076
Poisson integral formula for half plane      1090
Poisson kernel      1087 1090
Poisson, S.-D.      266
Polar coordinates      1070
Pole      1235
Pollution in a river      45 933
Population dynamics      41
Population exchange      546
Population model      55
Position vector      699
Positive definite      592
Positive definite matrix      592
Post-clot      897

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