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Zeidler E. — Oxford User's Guide to Mathematics
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Название: Oxford User's Guide to Mathematics
Автор: Zeidler E.
Аннотация: The Oxford User's Guide to Mathematics in Science and Engineering represents a comprehensive handbook on mathematics. It covers a broad spectrum of mathematics including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimization, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics. This is supplemented by numerous tables on infinite series, special functions, integrals, integral transformations, mathematical statistics, and fundamental constants in physics. The book offers a broad modern picture of mathematics starting from basic material up to more advanced topics. It emphasizes the relations between the different branches of mathematics and the applications of mathematics in engineering and the natural sciences. The book addresses students in engineering, mathematics, computer science, natural sciences, high-school teachers, as well as a broad spectrum of practitioners in industry and professional researchers. A comprehensive table at the end of the handbook embeds the history of mathematics into the history of human culture. The bibliography represents a comprehensive collection of the contemporary standard literature in the main fields of mathematics.
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Рубрика: Математика /
Статус предметного указателя: Готов указатель с номерами страниц
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Год издания: 2004
Количество страниц: 1308
Добавлена в каталог: 15.09.2014
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Предметный указатель
Number, binary 227
Number, cardinal 904
Number, cardinal, product 904
Number, cardinal, sum 904
Number, complex 228 534
Number, condition 1061
Number, decimal 225
Number, Euler 36
Number, ideal 717
Number, integer 223
Number, integer, construction of 902
Number, irrational 225 705
Number, natural 223 902
Number, negative 1182
Number, ordinal 902
Number, p-adic 533 716 723
Number, partition 687
Number, prime 549 688
Number, prime, regular 828
Number, Pythagorean 823
Number, rational 225 705
Number, real 222
Number, real, completeness of 239
Number, real, floating point representation of 1051
Number, real, rounded 1052
Number, real, truncation 1052
Number, square-free 719
Number, theory 802
Number, transcendental 678 706
Numerical differentiation 1084
Numerical flux 1148
Numerical integration 1085
Numerics 1050
Numerics, approximation 1102
Numerics, boundary value problems 1118
Numerics, differentiation 1075
Numerics, harmonic analysis 1165
Numerics, hyperbolic differential equations 1141
Numerics, integration 1075
Numerics, interpolation 1075
Numerics, inverse problems 1176
Numerics, linear algebra 1055
Numerics, non-linear problems 1093
Numerics, ordinary differential equations 1109
Numerics, parabolic differential equations 1138
Numerics, partial differential equations 1121
Obelisk 12
Oberwolfach 1196
octahedron 14
Oka's theorem 597
Open set 558
Operator, * 866
Operator, adjoint 840
Operator, algebra 717
Operator, angular momentum 863
Operator, chirality 863
Operator, conjugation 866
Operator, d (exterior derivative) 853
Operator, difference 1144
Operator, difference, consistent 1145
Operator, difference, dissipative 1147
Operator, difference, equivalence theorem 1145
Operator, difference, stability 1145
Operator, differential 392
Operator, Dirac, elliptic 868
Operator, divergence 854
Operator, duality 852
Operator, energy 837
Operator, flow 481
Operator, Fourier integral 392
Operator, Hodge, 853
Operator, Hodge, * 852 854
Operator, infinitesimal unitary 843
Operator, integral 643
Operator, integral, Fourier 633
Operator, inverse 642
Operator, J (almost complex) 868
Operator, Laplace 285 361 364 499 868
Operator, linear 641
Operator, nabla 363 365
Operator, pseudo-differential 392
Operator, pseudo-unitary 848
Operator, pseudo-unitary, infinitesimal 849
Operator, self-adjoint 845
Operator, strangeness 846
Operator, translation 403
Operator, unity 642
Oppenheimer, Robert 1196
Optics 1186
Optics, geometric 633
Optimization, Bellman dynamical 941
Optimization, linear 952
Optimization, linear, duality 962
Optimization, non-linear 946
Order of differential equation 424
Order of group 664
Order, axiom 743
Order, relation 894
Order, total 894
Ordered pair 888
Ordinal arithmetic 903
Ordinal number 902
Ordinal product 903
Ordinal sum 903
Ordinary differential equation 394
Orientation 782 842
Orientation of curve 538
Orthogonal 355
Orthogonal, complement 841
Orthogonal, group 841
Orthogonal, Matrix 631
Orthogonal, vectors 841 849
Orthogonality 628
Orthogonality, relation 386
Orthonormal basis 629 842 1103
Orthonormal system 386 629
Orthonormal system, complete 509
Oscillation 233 386 398 461
Oscillation, characteristic 496
Oscillation, dampened 398
Oscillation, dominant 392
Oscillator, aharmonic 358
Oscillator, harmonic 358 395 508
Oscillator, harmonic, with friction 396
Outer direct sum 648
Output 1050
Over-relaxation 1063
Overflow 1053
p-adic number 533
Pappus Of Alexandria 1182
parabola 22 789
Parabola, sector 9
Parabola, semi-cubical 801
Parabolic differential equation 514
Paraboloid 544
Paradox, Burali-Forti 903
Paradox, Einstein twin 857
Parallax 5
parallel 745
Parallel, problem 746
Parallel, transport 484
Parallelepiped 11 752
Parallelogram 7
Parameter estimation (statistics) 1017
Parity violation 864
Parsec 5
Parseval equality 402
Parseval equation 1168
Partial derivative 136 279
Partial differential equation 416
Partial differential equation, characteristics of 469
Partial fraction decomposition 58 394 404 547 624 813
Partial fraction decomposition, infinite 114
Partial sum 377
Particle, charged 859
Particle, elementary, standard theory 860 864
Particle, proton 846
Particle, strange 846
Particle, trajectory of 357
Partition function 687 694
Partition number 687
Pascal snail 812
Pascal triangle 31
Pascal, Blaise 31 768 812 827 996 1186
Pasch axiom 743
Path 538
Path, homologous 540
Path, homotopic 539
Path, integral 421
Pauli matrices 661 861
PCT invariance 863
Peano, Giuseppe 435
Pendulum (circular) 917
Pendulum (circular), equation of motion of 934
Pentagon 6
Penzias, Arnold 1198
Period 48
Period, lattice 577 578
Permutation 600 664
Permutation, cyclical 665
Permutation, even 602 664
Permutation, group 669
Permutation, odd 602 664
Permutation, sign of 602 664
Perspective 767
Perturbation 292
Phase space 483 922
Phase space, volume form of 484
phase velocity 233
Philosophy, epistemology 905
Philosophy, mathematical 827
Photon 864 927
Physics, celestial mechanics 125 450 470 491 687 1188
Physics, classical mechanics 42 358
Physics, Hamiltonian mechanics 1190
Physics, Newtonian mechanics 1186
Physics, quantum 1194
Physics, statistical 1192
Picard, Charles Emile 434
Pivotal element 1055
Planck constant 506
Planck quantum formula 509
Planck, Max 509 686 920 926 1192
Plane 26
Plane, equation 751
Plane, figures 7
Plane, hyperbolic 747
Plane, Poincare 747
Plane, trigonometry 726
Planet 491
Planetary motion 41 369
Plato of Athens 1181
Platonic solids 13
Pluecker, Julius 495 768
Pluto 44
Poincare 125
Poincare group 851 856
Poincare lemma 305 341 486 527
Poincare theorem 306 820
Poincare upper half-plane 559 747
Poincare, Henri 418 471 533 806 807 825 1192
Point 742
Point at infinity 761 763
Point, bifurcation 289
Point, conjugate 928
Point, double 800
Point, extremal 953
Point, fixed 560
Point, focal 9
Point, projective 761
Point, rational 824
Point, regular 800
Point, regular singular 592
Point, saddle 952 1136
Point, singular 800
Poisson approximation theorem 1012
Poisson bracket 489 923
Poisson distribution 1011
Poisson equation 500 516
Poisson equation of motion 923
Poisson formula 565
Poisson process 1041
Poisson, Simeon Denis 1009
Poissonian mechanics 489
Polar coordinates 23 285 325 344 479
Polar decomposition 637
Polar space 529
Pole 545
Polygon 675
Polygon, regular 684
Polyhedron 13
Polyhedron, regular 14
Polynomial 70 261 615 678
Polynomial, annihilator 832
Polynomial, approximation 1104
Polynomial, Chebychev 1090 1105
Polynomial, discriminant 579 623
Polynomial, division 616
Polynomial, Fourier 1103
Polynomial, greatest common divisor (gcd) 617
Polynomial, Hermite 124
Polynomial, homogenization 809
Polynomial, homogenous 814
Polynomial, interpolation 1075
Polynomial, irreducible 679 718
Polynomial, Lagrange 1076
Polynomial, Laguerre 123 1091
Polynomial, Legendre 123 510 1090 1104
Polynomial, Newton 1077
Polynomial, of several variables 145
Polynomial, product representation of 618
Polynomial, resultant 624 816
Polynomial, ring 670 678
Polynomial, seperable 679
Polynomial, splitting field of 679
Polynomial, symmetric 623
Polynomial, theorem 32
Polynomial, trigonometric 1165
Polynomial, zeros of 618
Poncelet, Jean-Victor 768 1190
Postulate 905
Potential 339 367
Potential, chemical 492 950 988
Potential, electrostatic 505 506 569
Potential, energy 367
Potential, equation 1128
Potential, single (double) layer 1163
Potential, velocity 566
Potential, volume 373
Power function 50
Power series 114 377 383 533 596
Power series, complex 536
Power series, domain of convergence 533
Power series, radius of convergence 383
Power series, table 114
Precision degree 1086
Preconditioning 1064 1155
Pressure 284 483 492 519 566
Prime 718
Prime, number 688
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