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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
$\mathbb{C}^\mathrm{n}$      600
$\mathbb{R}^\mathrm{n}$      420
$\mathcal{C}^\mathrm{n}$      639
Abramowitz, M.      983
Absolute convergence of singular integral      221
Absolutely integrable      924 936
Acceleration      699 701 722
Accumulated roundoff error      1003
Accumulated truncation error      1003
Action potential      375
Acton, F.      854
Adams — Bashforth method      309
Adams — Moulton method      309
Adjoint matrix      511
Adjoint operator      900
Airy equation      192 948
Airy functions      192
Algebraic equation      392 642
Algebraic growth      61
Ampere's law      813 817
Amplitude of vibration      111
Analog circuit      39
Analytic continuation      1218
Analytic function      181
Analyticity      1142
Andronov, A.      337
Angular velocity      708
Aperiodic motion      386
Apostol, T.M.      624 676 725 876 924
ARC      715
Arc length      717
Archimedes's principle      809
Area clement      739 740
Argand, J.R.      1111
Argument      1126
Aristotle      414
Asymptotic stability of singular point      353
Autonomous system      344
Average value property      1076
Back substitution      397
Barrett, L.C.      588
Basis      449
Basis of solutions      87
Basis, change of      526
Basis, orthogonal      453
Beam on elastic foundation      134
Beam on elastic foundation by Fourier integral      917
Beam on elastic foundation by Fourier series      862
Beam on elastic foundation by Fourier transform      928
Beats      566
Berg, P.W.      1038
Bernoulli equation      32 840
Bernoulli, Daniel      32 1017
Bernoulli, Jakob      32
Bernoulli, Johann      32
Bessel equation      230 908
Bessel function of first kind      232
Bessel function of second kind      234
Bessel general solution      235
Bessel inequality      885
Best approximation      458 882
beta function      229
Bifurcation      368
Biharmonic operator      782
Bilinear (Moebius) transformation      1158
Binder, L.      1000
binomial      721
Birmrmonic equation      782 972
Block, H.D.      414
Block-diagonal matrix      493
Boundary condition of first kind (Dirichlet)      951 1170
Boundary condition of second kind (Neumann)      952 1172
Boundary condition of third kind (Robin)      952
boundary conditions      6
Boundary point      616 1114
Boundary-value problem      6 88 317 1066
Bounded function      213
Bounded region      723
Boundedness condition      97
Bounds on integrals, a sharper bound      1189
Bounds on integrals, ML bound      1186
Boyce, W.E.      83
Branch cut      1131
Branch point      1132
Brown, J.W.      851
Buckling application of quadratic forms      593
Buckling dynamic formulation      371
Buckling eigenvalue problem      890 904
Burkill, J.C.      83
Canonical form of wave equation      1044
Canonical quadratic form      590
Capacitor      35
Carbon dating      39 41
Carslaw, H.S.      845 857
Cartesian coordinates      687
Cauchy      1315
Cauchy convergence theorem      176 1210
Cauchy integral formula      1200
Cauchy integral formula for circular disk      1206
Cauchy integral formula for upper half plane      1206
Cauchy integral formula, generalized      1204
Cauchy principal value      1257
Cauchy product of series      180
Cauchy theorem      1191
Cauchy — Euler equation      118
Cauchy — Euler equation, reduced to constant-coefficient equation      132
Cauchy — Riemann equations      1140
Cauchy, A.-L.      492 1140
Cayley product      469
Cayley — Hamilton theorem      554
Cayley — Klein parameters      599
Cayley, A.      469
Center of gravity      730
Center-type singularity in phase plane      353
Central difference quotient      1000
Chaikin, C.      337
Chain rule      625 655
Change of variables      652
Change-of-type equation      948
Chaos      383 386
Characteristic equation      95 543 888
Characteristic polynomial      95 553
Characteristic value      542
Characteristic vector      542
Chebyshev equation      912
Chebyshev, P.      912
Chemical kinetics      170 573
Churchill, R.V.      851 1190
Circular functions      91
Circulation      813
Clairaut equation      34
Clairaut, A.C.      36
Classification of PDE's      946
Closed curve      715
Closed interval $[\mathrm{x}_1, \mathrm{x}_2]$      49 422
Closed orbit      342
Closed region      616 1114
Closed surface      814
Cofactor      487
Cofactor expansion      487
Column of matrix      466
Column space      497
Column vector      469
Comparison tests      219 220 1210
Complementary error function      984
Complementary solution      28 134
Complex argument      1126
Complex conjugate      1111
Complex fractional power      1128
Complex function method for finding particular solutions      991 1122
Complex general power      1130
Complex impedance      1123
Complex integral      1182
Complex logarithm      1129
Complex matrix      603
complex modulus      1126
Complex number      1109 1126
Complex plane      1111
Complex series      1209
Complex velocity potential      1176
Composite function      625
Compound interest      46
Computer graphics      538
Computer software sections      30 59 108 168 190 209 216 241 253 274 279 310 321 332 370 387 406 492 506 522 550 588 609 640 670 719 730 760 902 931 973 1041 1124
Conformable matrices      467 469
Conformal map      1153 1156 1158
Conformal map, table      Appendix F
Connected set      615 1114
Conservative system      367 832
Consistent equations      393
Constancy mechanisms      377
Constraints      665
Continuity equation      799 809
Continuity of f(z)      1137
Continuous function      617
Continuously differentiable      762
Convection term      950
Convergence      1210
Convergence and stability of numerical solution      324
Convergence in pointwise sense      886
Convergence in vector sense      884 886
Convergence of matrix series      587
Convergence, Pringsheim      1038
Convergent finite-difference scheme      1004 1093
Convergent integral      219
Convergent method      294
Convergent Series      176
Convex region      825
Coordinate, curve      734
Coordinate, transformation matrix      527
Coordinate, vector      527
Cosine      1118
Coulomb's law      53 664
Cramer's rule      517
Crandall, S.H.      567
Crank — Nicolson scheme      1006
Critical damping      112
Critical point in phase plane      350
Critical point of a function      660 664
Cross product      685
Curvature      721
Curve      714
Curvilinear coordinates      733
Cylindrical coordinates      751 783 803 820 835 1077
D'Alembert solution      1044 1046
d'Alembert — Lagrange equation      33
D'Alembert, J. le Rond      33 1017 1043
Damping      112
Dantzig, G.B.      670
de Moivre's formula      1127
Delta function      985
Derivative of f(z)      1138 1141
Determinant      486
Deterministic system      386
Di Prima, R.C.      83
Diagonalization      570 608
Difference equation      298 325 328
Difference kernel      930 984
Difference quotient, backward      771 1105
Difference quotient, central      1105
Difference quotient, forward      771 1104
Differential equation      2
Differential form      822
Differential operator      84
Differentiation of base vectors, difference quotient method      702
Differentiation of base vectors, omega method      707
Differentiation of base vectors, transform method      703
Diffusion equation      800 943
Diffusivities      949
Dimension of space      450
Dimensional analysis      503 508
Dipole moment      218
Dirac delta function      276
Dirae, P.A.ML.      276
Direction cosines      429
Direction field      21
Directional derivative      767
Dirichlet boundary condition      951 1170
Dirichlet problem      1059
Dirichlet problem for disk      1073
Dirichlet problem for half plane      1088
Dirichlet problem for sphere      1082
Dirichlet, P.G. Lejeune-      844
Discontinuous function      617
Discrete Fourier Transform      931
Distance      614 1114
Distributions, theory of      277
Divergence      761 1210
Divergence theorem      792
Divergence theorem, two-dimensional case      803
Divergent integral      219
Divergent series      176
Domain (open region)      530 616 1114
Domain of influence      1046
Doolittle's method      520
Dot product      417 421 600
Dot product, Euclidean      422
Dot product, properties of      423
Double Fourier series      1037
Double integral      724
Double series      1037 1038
Dual vectors      455 457 525
Duffing equation      345 380
Dulling, G.      380
Dyad      767
Dynamical systems      331
Eigenfrequencies      559
Eigenfunction      888
Eigenspace      553
Eigenvalue      542 888
Eigenvalue bounds      566
Eigenvalue problem      542
Eigenvector      542
Eigenvector expansion method      564 977 1032 1069
Eigenvector, generalized      583
Ekeland, I.      40 331 338
Electrical analog      114
Electrical circuit elements      35 36
Electrical dipole      218
Electrical LC circuit      3 159 271
Electrical potential      664
Electrical RC circuit      273 278
Electrical RL circuit      37 157
Electrical RLC circuit      156
Electromagnetic waves      1022
Elementary functions      25
Elementary operations on equations      397
Elementary operations on matrices      403
Elementary row operation      497 518
Elementary singularities in phase plane      350 549
Elliptic PDE      947
Empirical estimate of order      307
entropy      839
Equilibrium point      342 664
Equivalent systems      397
Erdelyi, A.      252 922
Error function      130 983
Essential singularity      1235
Euclidean dot product      422
Euler beam theory      862 890
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