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Greenberg M.D. — Advanced engineering mathematics
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: en

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
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Предметный указатель
Post-multiplication      471
Potential      829
potential energy      664
potential flow      1085 1174 1179 1180
Power method      567
Power series      1212 1216 1220
Power series convergence      178
Power series solutions      182
Pre-dot      897
Pre-multiplication      471
Predictor-corrector methods      308
principal argument      1126
Principal axes      581
Principal inertias      58
Principal normal      72
Principal value      1131
Pringsheim convergence      1038
Proper (regular) integral      218
Pseudoinverse      513
Quadratic form      589
Quadratic form, negative definite      592
Quadratic form, positive definite      592
Quarter-range expansion      87
Radioactive decay      39
Radius of convergence      178 1214
Radius of curvature      721
Ramp function      270
RANGE      530 531 1114
Rank      495 500
Ratio Test      1210
Rational function      182 1249
Rational function approximation      983
Rayleigh's quotient      566
Rayleigh, Lord (Sir John William Strutt)      566 810
RC circuit      38 273
Re      1109
Real axis      1111
Real part (Re)      1111
Reciprocal vectors      455 457 525
Rectangular pulse      270 916 921
Rectangular rule      312
Recurrence formula      184
Recursion formula      184
Redheffer, R.M.      688 877
Reduction of order      102 123
Reflection, law of      675
Refraction, law of      675
Region      1114
Region, bounded      723
Regular (proper) integral      218
Regular singular point      194
Regular Sturm — Liouville problem      905
Relaxation oscillation      374 868
Remainder term      631 1215
Repeated roots of characteristic equation      102
Represent      632 850
Residue      1241
Residue theorem      1241
Resonance      15
Response      38
Reymond, P. Du Bois-      844
Reynold's number      59 505
Riccati equation      33 129
Riccati, J.F.      33
Riemann sum      723 744
Riemann, G.F.      1140
Right-hand limit      852
RL circuit      37 157
RLC circuit      271
rms current      858
Robin boundary condition      952 1104
Rodrigues's formula      214
Ronald, Lord      1138
Root of order k      102
Roundoff error due to small pivots      409 410
Roundoff error for ODE's      324
Roundoff error for PDE's      1003
Routh — Hurwitz criterion      494
Row      466
Row equivalence      404 494
Row space      497
Row vector      469
Runge — Kutta method, fourth-order      304
Runge — Kutta method, second-order      302
Saddle      356 660
Saddle-node bifurcation      368
Saff, E.B.      1218
Saint Venanl's principle      279
Scalar field      758
Scalar multiplication of vectors      414 431
Scalar potential      829
Scalar product      685
Scalar triple product      692
Schmidt, E.      1000
Schwartz, L.      277
Schwarz inequality      424 601
Schwarz, H.A.      424
Second-order tensor      767
Self-adjoint      900
Separable ODE      46
Separable PDE      954 969 1023 1035 1040 1059 1070 1077 1082
Separable PDE, nonseparable      972
Separated boundary conditions      905
Separatrix      342
Serret — Frenet formulas      721
Serret, J.A.      721
Shooting methods      319
Similar matrices      553
Simple closed curve      715
Simple curve      715
Simplex method      670
Simply connected region      826 836
Simpson's rule      312
Sine      1118
Sine integral      917
singular      1142
Singular (improper) integral      218
Singular function      18
Singular integral      221
Singular matrix      51
Singular point      193
Singular point in phase plane      350
Singular point of function      18
Singular point, isolated      1234
Singular point, nonisolated      1234
Singular solution      52
Singular Sturm — Liouville problem      905
Slack variable      670
Slegun, I.      983
Smale, S.      338
Small-t solution for finite rod      990
Smith, G.D.      1057
Smith, O.K.      373
Smith, P.      382 384
Smooth      739
Smooth curve      715
Smooth surface      727
Snider, A.D.      1218
Sokolnikoff, I.S.      648 877
Solenoidal held      840
Solution curve      21
Solution of linear algebraic equations      393
Solution of ODE      4
Solution of PDE      944
Solution set      393
Solution space      438 502
span      439
Spherical coordinates      705 752 786 821 1081
Spiral (focus)      354
Square matrix      472
Stability and convergence      324 1004
Stability of numerical ODE solution      324
Stability of numerical ODE solution, strong stability      327
Stability of numerical ODE solution, weak stability      327
Stability of numerical PDE solution      1004
Stability of singular point      352
Stability of solution      105
Standard basis      452
Standing wave      1026 1029
Star (proper node)      356
Steady-slate solution      37 154 959 1123
Stiffness matrix      515
Stirling's formula      641
Stochastic (Markov) matrix      549
Stoichiometry      499
Stoker, J.J.      338 722
Stokes's theorem      814
Stokes, G.G.      810 874
Stream function      839 1176
streamline      759 1176
Strogatz, S.H.      366
Strongly stable method      327
Struble, R.A.      435
Struik, D.J.      722
Sturm — Liouville problem      887 965 1029 1070 1080
Sturm, C.      887
Subharmonic oscillation      384
SubMatrix      496
subspace      439
Successive overtaxation (SOR)      1009 1101
Superposition of solutions      85 136 946
surface      733
Surface integral      739 743
Surface, area element      739
Surface, closed      814
Surface, normal to      734 797
Surface, open      814
Surface, orientable      758
Surface, tangent plane to      735
Suspension bridge cable      14
Symmetric matrix      554
System of ODE's      157
System of ODE's, existence and uniqueness      160
System of ODE's, numerical solution      313
System of ODE's, solution by elimination      162
Tangent line      361 698
Tangent plane      361 715 721 735 737
Tangent vector      698 715 720
Tangent-line method      293
Taylor series      180 632 638 1215
Taylor's formula      631 638
Telegraph equations      979
Telephone equations      979
terminal velocity      44
Termwise differentiation      875 1222
Termwise integration      879 1222
Termwise manipulation of power series      179
Thomson, W.T.      1033
time constant      955
Timoshenko, S.      862
Titchmarsh, E.C.      877
Tolstov, G.P.      877
Transcendental equation      392 642
Transform, Fourier      921
Transform, integral      247
Transform, Laplace      247
Transformation      530 614
Transformation, invertible      535
Transformation, linear      532
Transformation, matrix      534
Transformation, one-to-one      535
Transformation, onto      535
Transient solution      37 154
Transpose matrix      481
Trapezoidal rule      312
traveling wave      1027
Triangle inequality      425 601 1111
Triangular matrix      480
Triangularization      491
Tricomi equation      948
Tridiagotial matrix      552 566 1006
Trigonometric complex functions      1118
Trigonometric series      850
Triple integral      727
Tromba, A.J.      725 759 822
Truncation error      296 1093
Two-dimensional unsteady diffusion      1043
Unbounded      213
Undetermined coefficients      135 1219
Uniform convergence      874
Uniqueness for diffusion equation      979
Uniqueness for Poisson equation      1069
Uniqueness for wave equation      1033
Unit impulse function      276
Unit step function      269
Unitary matrix      608
Universal gravitational constant      53
Upper triangular matrix      490
Van der Mark, J.      373
van der Pol equation      372
Van der Pol, B.      372 373
Van der Waals equation      655
Vandermonde determinant      495
Variation of parameters      27 141
Vector      413
Vector convergence      884
Vector field      759
Vector function      695
Vector limit      696
Vector product      685
Vector space      430
Vector space dimension      450
Vector transformation      530
Vector triple product      693
Velocity      699 701 722
Verhulst population model      55
Verhulst, P.F.      42
Vertical p-integral      222
vibrating beam      1033
Vibrating drumhead      1042
Vibrating mass      2 10 110 115 149 261 362 575
Vibrating masses      159 165 557 562
Vibrating membrane      1035
Vibrating string      1017 1023
Visual perception      375
Vladimirov, V.I.      123
Volterra's predator-prey model      367
Volume      748
Volume element      749
Volume integral      752
Vorticity      774
Water waves      1022
Watson, G.N.I.      199
Wave equation      1020 1035
Wave speed      1029
Waves in a rod      1022
Weakly stable method      327
Weierstrass M-test      875
Weierstrass, K.      874 1140
Wertheimer, M.      377
Widder, D.V.      253
Wronski, J.M.H.      78
wronskian      78
Wylie, C.R.      588
Yeshua Hamashiaeh      xix
Zauderer, E.      1057
Zero of f(c)      1236
Zero vector space      438
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