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| Kreyszig E. — Advanced engineering mathematics |
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| Предметный указатель |
 ,  ,  853
863
A priori estimate 794
Abel 78
Absolute convergence 667 697
Absolute frequency 994 1000
Absolute value 607
Absolutely integrable 508
Acceleration 395 995
Acceptance sampling 1073
Adams — Bashforth methods 899
Adams — Moulton methods 900
Adaptive 824
Addition of complex numbers 603
Addition of matrices 275
Addition of means 1038
Addition of normal random variables 1050
Addition of power series 174 680
Addition of variances 1039
Addition of vectors 276 324 367
Addition rule 1002
ADI method 915
Adiabatic 561
Adjacency matrix 956
Adjacent vertices 955
Airfoil 732
Airy’s equation 552 904
Algebraic multiplicity 337 865
Algorithm 777 783
Algorithm, Dijkstra 964
Algorithm, efficient 962
Algorithm, Ford — Fulkerson 979
Algorithm, Gauss 837
Algorithm, Gauss — Seidel 848
Algorithm, greedy 967
Algorithm, Kruskal 967
Algorithm, Moore 960
Algorithm, polynomially bounded 962
Algorithm, Prim 971
Algorithm, Runge — Kutta 892 904
Algorithm, stable, unstable 783
Aliasing 526
Allowable number of defectives 1073
Alternating, direction implicit method 915
Alternating, path 983
Alternative hypothesis 1058
Ampere 92
Amplification 89
Amplitude spectrum 506
Analytic at infinity 711
Analytic function 175 617 681
Angle between curves 35
Angle between vectors 372
Angular speed 381 765
Annulus 613
Anticommutative 379
AOQ, AOQL 1075—1076
Approximate solution of differential equations 9 886—934
Approximate solution of eigenvalue problems 863—882
Approximate solution of equations 787—796
Approximate solution of systems of equations 833—858
Approximation, least squares 860
Approximation, polynomial 797
Approximation, trigonometric 502
AQL 1074
Arc length 393
Arc of a curve 391
Archimedian principle 68
arctan 634
Area 435 442 454
Argand diagram 605
Argument 607
Artificial variable 949
Assignment problem 982
Associated Legendre functions 182
Asymptotically equal 191 1009
Asymptotically normal 1057
Asymptotically stable 148
Attractive 148
Augmented matrix 288 833
Augmenting path 975 983
Augmenting path, theorem 977 984
Autonomous 31 151
Average see “Mean value”
Average outgoing quality 1075
Axioms of probability 1001
Back substitution 289 834
Backward, differences 807
Backward, edge 974 976
Backward, Euler method 896 907
Band matrix 914
Bashforth method 899
Basic feasible solution 942 944
Basic variables 945
Basis 49 106 113 138 300 325 360
Beam 120 547
Beats 87
Bell-shaped curve 1026
Bellman optimality principle 963
bernoulli 30
Bernoulli distribution 1020
Bernoulli equation 30
Bernoulli law of large numbers 1032
Bernoulli numbers 690
bessel 189
Bessel equation 189 204
Bessel functions 191 198 202 207 A94
Bessel functions, tables A94
Bessel inequality 215 504
beta function A64
Bezier curves 816
BFS 960
Bijective mapping 729
BINARY 782
Binomial coefficients 1009
Binomial distribution 1020 A96
Binomial series 689
Binomial theorem 1010
Binormal (Fig. 210) 397
Bipartite graph 982 985
Birthday problem 1010
Bisection method 796
Bolzano — Weierstrass theorem A91
Bonnet 181
Boundary 433
boundary conditions 203 540 558 571 587
Boundary point 433 613
Boundary value problem 203 558
Bounded domain 646
Bounded function 38
Bounded region 433
Bounded sequence A69
Boxplot 995
Branch cut 632
Branch point 746
BREADTH FIRST SEARCH 960
Buoyance force 68
Cable 52 198 593
CAD (Computer aided design) 810
Cancellation law 321
Cantor — Dedekind axiom A69
Capacitance 92
Capacitor 92
Capacity of a cut set 976
Capacity of an edge 973
Cardano 602
Cardioid 443
Cartesian coordinates 366 604
CAS (Computer algebra system) vii 777
Catenary 399
| Cauchy 69
Cauchy convergence principle 667 A90
Cauchy determinant 112
Cauchy inequality 660
Cauchy integral formula 654
Cauchy integral theorem 647 652
Cauchy method of steepest descent 938
Cauchy principal value 719 722
Cauchy product 680
Cauchy — Goursat theorem 647
Cauchy — Hadamard formula 676
Cauchy — Riemann equations 37 618 621
Cauchy — Schwarz inequality 326 859
Cayley transformation 739
Center 143
Center of a graph 973
Center of a power series 171
Center of gravity 436 457
Central differences 808
Central limit theorem 1057
Central moments 1019
Centrifugal, centripetal 396
cgs system Front cover
Chain rule 401
Characteristic determinant 336 864
Characteristic equation 59 111 336 551 864
Characteristic function 542 574
Characteristic of a partial differential equation 551
Characteristic polynomial 336 864
Characteristic value 324 864
Characteristic vector 324 864
Chebyshev polynomials 209
Chi-square 1055 1077 A101
Chinese postman problem 963
Cholesky’s method 843
Chopping 782
Chromatic number 987
circle 391
Circle of convergence 675
Circuit 95
Circular disk 613
Circular helix 391 394
Circular membrane 580
Circulation 764
Cissoid 399
Clairaut equation 34
Class intervals 994
Closed disk 613
Closed integration formula 822 827
Closed interval A69
Closed path 959
Closed point set 613
Closed region 433
Coefficient matrix 288 833
Coefficients of a differential equation 46
Coefficients of a power series 171
Coefficients of a system of equations 287 833
Cofactor 309
Collates theorem 870
column 275
Column, space 300
Column, sum norm 849
Column, vector 275
Combination 1007
Combinatorial optimization 954—986
Comparison Test 668
Complement 613 988
Complementary, error function A64
Complementary, Fresnel integrals A65
Complementary, sine integral A66
Complementation rule 1002
Complete bipartite graph 987
Complete graph 958
Complete matching 983
Complete orthonormal set 214
Complex conjugate numbers 605
Complex exponential function 57 623
Complex Fourier integral 519
Complex Fourier series 497
Complex function 614
Complex hyperbolic functions 628 743
Complex impedance 98
Complex indefinite integral 637
Complex integration 637—663 712—725
Complex line integral 633
Complex logarithm 630 688
Complex matrices 356
Complex number 602
Complex plane 605
Complex plane, extended 710
Complex potential 761
Complex sequence 664
Complex series 666
Complex sphere 710
Complex trigonometric functions 626 688
Complex trigonometric polynomial 524
Complex variable 614
Complex vector space 324 359
complexity 961
Component 366 374
Composite transformation 281
Compound interest 9
Compressible fluid 412
Computer Aided Design (CAD) 810
Computer algebra system (CAS) vii 777
Computer graphics 287
Computer software see “Software”
Conchoid 399
Condition number 855
Conditional probability 1003
Conditionally convergent 667
Conduction of heat 465 552 757
Cone 406 448
conf 1049
confidence intervals 1049—1058
Confidence level 1049
Confidence limits 1049
Conformal mapping 730 754
Conic sections 355
Conjugate complex numbers 605
Conjugate harmonic function 622
Connected graph 960
Connected set 613
Conservative 415 428
Consistent equations 292 303
Constraints 937
Consumer’s risk 1075
Continuity of a complex function 615
Continuity of a vector function 387
Continuity, equation 413
Continuous distribution 1011
Continuous random variable 1011 1034
Contour integral 647
Contraction 789
Control chart 1068
Control limit 1068
Control variables 936
Convergence in norm 214
Convergence of a sequence 386 664
Convergence of a series 171 666
Convergence of an iterative process 793 848
Convergence, absolute 667
Convergence, circle of 675
Convergence, conditional 667
Convergence, interval 172 676
Convergence, mean 214
Convergence, mean-square 214
Convergence, principle 667
Convergence, radius 172
Convergence, superlinear 795
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