Kreyszig E. — Advanced engineering mathematics :: Электронная библиотека попечительского совета мехмата МГУ

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Kreyszig E. — Advanced engineering mathematics

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Название: Advanced engineering mathematics

Автор: Kreyszig E.

Аннотация:

Introduces the Mathematica software program and its application for performing numerical calculations, symbolic calculations, and graphing to solve engineering problems. The guide contains 130 worked-out examples and 400 problems that correspond to chapters in the Advanced Engineering Mathematics textbook by the same author.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 9-th edition

Год издания: 2006

Количество страниц: 1246

Добавлена в каталог: 07.12.2009

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

Предметный указатель

o      962
Objective function      936
OC curve      1062
Odd function      490
ODE      4 (see also “Differential equations”)
Ohm’s Law      92
One-dimensional heat equation      553
One-dimensional wave equation      539
One-sided derivative      484
One-sided test      1060
One-step method      898
One-to-one mapping      729
Open disk      613
Open integration formula      827
Open interval      A69
Open point set      613
Operating characteristic      1062
Operation count      838
Operational calculus      59 220
Operator      59 327
Optimal solution      942
Optimality principle, Bellman’s      963
Optimization      936—953 959—990
Orbit      141
Order      887 962
Order of a determinant      308
Order of a differential equation      4 535
Order of an iteration process      793
Ordering      969
Ordinary differential equations      2—269 886—908
Orientable surface      452
Orientation of a curve      638
Orientation of a surface      452
Orthogonal coordinates      A71
Orthogonal curves      35
Orthogonal eigenvectors      350
Orthogonal expansion      210
Orthogonal functions      205 482
Orthogonal matrix      345
Orthogonal polynomials      209
orthogonal series      210
Orthogonal trajectories      35
Orthogonal transformation      346
Orthogonal vectors      326 371
Orthonormal functions      205 210
Oscillations in circuits      91
Oscillations of a beam      547 552
Oscillations of a cable      198
Oscillations of a mass on a spring      61 86 135 150 243 252 261 342 499
Oscillations of a membrane      569—586
Oscillations of a string      204 538 929
Oscillations, damped      64 88
Oscillations, forced      84
Oscillations, free      61 500 547
Oscillations, harmonic      63
Oscillations, self-sustained      157
Oscillations, undamped      62
Osculating plane      398
Outcome      997
Outer product      377
Outlier      995
Output      26 230
Overdamping      65
Overdetermined system      292
Overflow      782
Overtaxation      851
Overtone      542
Paired comparison      1065
Pappus’s theorem      458
Parabolic differential equation      551 922
Paraboloid      448
Parachutist      12
Parallel flow      766
Parallelepiped      382
Parallelogram, equality      326 372 612
Parallelogram, law      367
Parameter of a distribution      1016
Parametric representation      389 446
Parking problem      1023
Parseval’s equality      215 504
Partial derivative      388 A66
Partial differential equation      535 909
Partial fractions      231 245
Partial pivoting      291 834
Partial sum      171 666
Particular solution      6 48 106 159
Pascal      399
Path in a digraph      974
Path in a graph      959
Path of integration      421 637
PDE      535 909
Peaceman — Rachford method      915
Pearson, E.S.      1058
Pearson, K.      1066
Pendulum      68 152 156
Period      478
Periodic, extension      494
Periodic, function      478
Permutation      1006
Perron — Frobenius theorem      344 869
Pfaffian form      429
Phase of complex number      see “Argument”
Phase, angle      88
Phase, lag      88
Phase, plane      141 147
Phase, portrait      141 147
Picard iteration method      41
Picard theorem      709
Piecewise, continuous      226
Piecewise, smooth      421 448 639
Pivoting      291 834
Planar graph      987
Plane      315 375
Plane curve      391
Poincare      216
Point at infinity      710 736
Point, estimate      1046
Point, set      613
Point, source      765
Point, spectrum      507 524
poisson      769
Poisson distribution      1022 1073 A97
Poisson equation      910 918
Poisson integral formula      769
Polar coordinates      437 443 580 607—608
Polar form of complex numbers      607
Polar moment on inertia      436
Pole      708
Polynomial approximation      797
Polynomial matrix      865
Polynomially bounded      962
Polynomials      617
Polynomials, Chebyshev      209
Polynomials, Hermite      216
Polynomials, Laguerre      207 257
Polynomials, Legendre      179 207 590 826
Polynomials, trigonometric      502
Population in statistics      1044
Population models      31 154 341
Position vector      366
Positive definite      326 372
Possible values      1012
Postman problem      963
Potential      407 427 590 750 762
Potential complex      763
Potential theory      465 749
Power of a test      1061
Power, method for eigenvalues      872
Power, series      167 673
Power, series method      167

Pre-Hilbert space      326
PRECISION      782
Predator-prey      154
Predictor-corrector      890 900
Prim’s algorithm      971
Principal Axes Theorem      354
Principal branch      632
Principal diagonal      see “Main diagonal”
Principal directions      340
Principal normal (Fig. 210)      397
Principal part      708
Principal value      607 630 632 719 722
Prior Estimate      794
probability      1000 1001
Probability, conditional      1003
Probability, density      1014 1034
Probability, distribution      1010 1032
Probability, function      1012 1033
Producer’s risk      1075
PRODUCT      see “Multiplication”
Projection of a vector      374
Pseudocode      783
pure imaginary number      603
QR-factorization method      879
Quadratic equation      785
Quadratic form      353
Quadratic interpolation      799
Qualitative Methods      124 139—165
Quality control      1068
quartile      995
Quasilinear      551 909
Quotient of complex numbers      604
Rachford method      915
Radiation      7 561
Radiocarbon dating      13
Radius of a graph      973
Radius of convergence      172 675 686
Random experiment      997
Random numbers      1045
Random variable      1010 1032
Range of a function      614
Range of a sample      994
Rank of a matrix      297 299 311
Raphson      790
Ratio Test      669
Rational function      617
Rayleigh      159
Rayleigh equation      159
Rayleigh quotient      872
RC-circuit      97 237 240
Reactance      93
Real axis      604
Real part      602
Real sequence      664
Real vector space      324 369
Rectangular membrane      571
Rectangular pulse      238 243
Rectangular rule      817
Rectangular wave      211 480 488 492
Rectifiable curve      393
Rectification of a lot      1075
Rectifier      248 489 492
Rectifying plane      398
Reduction of order      50 116
Region      433 614
Regression      1083
Regression, coefficient      1085 1088
Regression, line      1084
Regula Falsi      796
Regular point of an ODE      183
Regular Sturm — Liouville problem      206
Rejectable quality level      1075
Rejection region      1060
Relative class frequency      994
Relative error      784
Relative frequency      1000
Relaxation      850
Remainder      171 666
Removable singularity      709
Representation      328
Residual      849 852
Residue      713
Residue theorem      715
Resistance      91
Resonance      86
Response      28 84
Restoring force      62
Resultant of forces      367
Riccati equation      34
Riemann      618
Riemann sphere      710
Riemann surface      746
Right-hand derivative      484
Right-hand limit      484
Right-handed      377
Risk      1095
RL-circuit      97 240
RLC-circuit      95 241 244 499
Robin problem      558 587
Rodrigues’s formula      181
Romberg integration      829
Root      610
Root test      671
Rotation      381 385 414 734 764
Rounding      782
Row echelon form      294
Row operations      292
Row scaling      838
Row space      300
Row sum norm      849
Row vector      274
Row-equivalent      292 298
Runge — Kutta methods      892 904
Runge — Kutta — Fehlberg      893
Runge — Kutta — Nystrom      906
S-PLUS, SPSS      992
Saddle point      143
Sample      997 1045
Sample, covariance      1085
Sample, distribution function      1076
Sample, mean      996 1045
Sample, moments      1046
Sample, point      997
Sample, range      994
Sample, size      997 1045
Sample, space      997
Sample, standard deviation      996 1046
Sample, variance      996 1045
Sampling      1004 1023 1073
SAS      991
Sawtooth wave      248 493 505
scalar      276 364
Scalar field      384
Scalar function      384
Scalar matrix      284
Scalar multiplication      276 368
Scalar triple product      381
Scaling      838
Scheduling      987
Schoenberg      810
Schrodinger      242
Schur’s Inequality      869
Schwartz      242
Schwarz inequality      326
Secant      627 A62
Secant, method      794
Second Green’s formula      466
Second shifting theorem      235
Sectionally continuous      see “Piecewise continuous”
Seidel      846

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