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Авторизация |
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Поиск по указателям |
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Hassani S. — Mathematical Methods: for Students of Physics and Related Fields |
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Предметный указатель |
Polynomial, orthogonal 227—230
Polynomial, orthogonal, standardization 227
Position vector 19
Potential 21—28 399
potential energy 553
Potential of a dipole 299
Potential, centrifugal 581
Potential, difference 399
Power series 283—299
Power series, continuity 285
Power series, differential equations 307
Power series, differentiation 285
Power series, integration 285
Power series, operations 520
Power series, radius of convergence 283
Power series, zero 285
Pressure 46
Primary curve 59
Primary surface 60
Probability space 784
Probability, average 790
Probability, basic concepts 781—792
Probability, binomial distribution 792—797
Probability, conditional 786—789
Probability, correlation 803
Probability, covariance 803
Probability, density 801
Probability, expectation value 790
Probability, independent random variable 802
Probability, marginal 786—789
Probability, mean 790
Probability, moment generating function 790
Probability, Poisson distribution 797—800
Probability, sample space 784—786
Probability, set theory 782—784
Probability, standard deviation 790
Probability, variance 790
Prolate spheroidal coordinates 74 213 437
Proper time 239—24-0
Quadrupole moment 449
Quantization, hydrogen atom 679
Quantum harmonic oscillator 667—674
Quantum mechanics, angular momentum operator 412
Quantum mechanics, angular momentum operator, spherical coordinates 435
Quantum particle in a box 675—677
Quantum tunneling 676
Quaternions 11
radiaL 19
Radial equation 549
Raising indices 457—459
Random event 781
Random variable, continuous 801—809
Random variable, independent 802
Random variable, transformation 804—806
Rate of change 44
Ratio test, Waring 273
Recursion relation 308 610
Relativistic collision 250—253
Relativistic energy 249
Relativistic law of motion 253—254
Relativistic momentum 249
Relativity, geodesic 466
Relativity, metric connection 466
Relativity, metric tensor 458
Relativity, principle 238
Relativity, special 237
Residue 526
Residue theorem 527
Residue theorem, definite integral, rational function 529
Residue theorem, definite integral, rational trigonometric 532
Residue theorem, definite integral, trigonometric function 534
Residue, calculus 525—536
Retarded Green’s function 712
Ricci tensor 470
Riemann 321
Riemann curvature tensor 468—471
Riemann zeta function 269
Riemannian manifold 456
Right-hand rule 392
Rigid transformation 190
Rodrigues formula 626
Rosetta stone 304
Row vector 181
Sample space 784—786
Savart, Felix, biography 115
Scalar curvature 470
Scalar function 445
Schroedinger 675
Schroedinger equation 543 546 666—680
Schroedinger equation, time-independent 666
Schroedinger, biography 666
Schwarz inequality 185 220
Schwinger 26
Second iterate 757
Second variation 735—738
Self-similarity 775
Separated boundary conditions 574
Separation of time 543
Separatrix 766
SEQUENCE 259—262
Sequence, bounded 261
Sequence, convergence 260
Sequence, convergence, Cauchy criterion 261
Sequence, divergence 260
Sequence, functions 274—279
Sequence, limit 260
Sequence, monotone decreasing 261
Sequence, monotone increasing 261
Sequence, partial sum 259 267
Series 266—274
Series, alternating, test 270
Series, application to DE 307—311
Series, complex 518
Series, complex, Laurent 518—522
Series, complex, Taylor 518—522
Series, convergence, absolute 268
Series, convergence, comparison test 268
Series, convergence, conditional 272
Series, convergence, generalized ratio test 270
Series, convergence, integral test 268
Series, convergence, n-th term test 267
Series, convergence, ratio test 269
Series, convergent, grouping 273
Series, convergent, rearranging 273
Series, familiar functions 287—291
Series, Fourier 299—303
Series, Fourier — Bessel 655
Series, Fourier, complex numbers 489
Series, functions 274—279
Series, functions, uniform convergence 276
Series, geometric 271
Series, harmonic, order p 269
Series, Laurent, complex 518
Series, Maclaurin 287
Series, Maclaurin, binomial function 288
Series, Maclaurin, complex 518
Series, Maclaurin, exponential function 287
Series, Maclaurin, hyperbolic function 289
Series, Maclaurin, logarithmic function 291
Series, Maclaurin, trigonometric function 287
Series, operations on 273—274
Series, power 283—299
Series, power, differential equations 307
Series, Taylor 286—287
Series, Taylor, complex 518
Series, Taylor, multivariable 305—307
Series, uniform convergence, differentiation 278
Series, uniform convergence, integration 278
Series, uniformly convergent 277—279
Set theory 782—784
| Set theory, complement 783
Set theory, difference 783
Set theory, disjoint sets 783
Set theory, intersection 783
Set theory, union 782
Set theory, Venn diagrams 783
Sine transform 697
Soap film problem 733
SOLDE 563—570
SOLDE, basis of solutions 565
SOLDE, central force 579
SOLDE, constant coefficient 575—587
SOLDE, constant coefficient, homogeneous 576—583
SOLDE, constant coefficient, inhomogeneous 583—587
SOLDE, homogeneous 564
SOLDE, homogeneous, second solution 567—569
SOLDE, inhomogeneous, general solution 569—570
SOLDE, Kepler problem 580
SOLDE, linearity 564—565
SOLDE, normal form 563
SOLDE, singular point 563
SOLDE, superposition 564—565
SOLDE, superposition principle 564
SOLDE, uniqueness of solution 564—565
SOLDE, uniqueness theorem 565
SOLDE, variation of constants 569
SOLDE, Wronskian 566—567
Solid angle 344—350
Solid angle, total 349
Source point 25 79
Space, dimension 11
Space, flat 470
Space, point 11
Space, probability 784
Spacetime distance 240—242
Spacetime distance, being zero 242
span 175
Special functions 550
Standard basis 216
Standard deviation 790
Statistical independence 788
Statistics, Bose — Einstein 792
Statistics, Fermi — Dirac 791
Statistics, Maxwell — Boltzmann 791
Stellar equilibrium 415
Step function 152—153
Step function, Dirac delta function 153
Step function, Laplace transform 713
Stifel 481
Stirling 320
Stirling approximation 319 792 808
Stokes, George Gabriel, biography 398
Stokes’ Theorem 391—398
Strange Attractor 778
Sturm — Liouville equation 574
Sturm — Liouville system 574
Subset 782
Success excess 793
Summation 262—266
Superposition principle 25 564
Surface, primary 60
Sylvester, and Cayley 192
Sylvester, James Joseph, biography 210
Symmetric matrix 182
Symmetric tensor 452
Taylor series 286—287
Taylor series, complex 518—522
Taylor series, multivariable 305—307
Taylor, Brook, biography 294
Tensor 447—454
Tensor, addition 450
Tensor, algebraic properties 450—452
Tensor, contraction 451
Tensor, differentiation 462—468
Tensor, Einstein curvature 471
Tensor, electrodynamics 459—461
Tensor, energy momentum 471
Tensor, Levi-Civita symbols 453
Tensor, metric 454—461
Tensor, metric, definition 456
Tensor, metric, relativity 458
Tensor, multiplication 451
Tensor, numerical 452—454
Tensor, rank of 448
Tensor, Ricci 470
Tensor, Riemann curvature 468—471
Tensor, symmetrization 452
Tensor, torsion 463
terminal velocity 559
Theorem, central limit 809
time constant 586
Time, coordinate 239—240
Time, proper 239—240
Toroidal coordinates 74 213 437
torque 28
Torsion tensor 463
Transfer function 586
Transform, cosine 697
Transform, Fourier 693—712
Transform, Fourier, and quark model 702
Transform, Fourier, application to DEs 702—704
Transform, Fourier, convolution theorem 724
Transform, Fourier, examples 698—702
Transform, Fourier, Gaussian 699
Transform, Fourier, Green’s functions 705—712
Transform, Fourier, heat equation in ID 704
Transform, Fourier, inverse 695
Transform, Fourier, of delta function 698
Transform, Fourier, properties 696
Transform, integral 693
Transform, Laplace 712—723
Transform, Laplace, and differential equations 718—721
Transform, Laplace, Bromwich contour 722
Transform, Laplace, convolution 716
Transform, Laplace, cosine 713
Transform, Laplace, derivative 717—718
Transform, Laplace, first shift 714
Transform, Laplace, gamma function 713
Transform, Laplace, imaginary exponential 713
Transform, Laplace, integral 717—718
Transform, Laplace, inverse 721—723
Transform, Laplace, linearity 714
Transform, Laplace, Mellin inversion integral 722
Transform, Laplace, periodic functions 716
Transform, Laplace, properties 713—717
Transform, Laplace, second shift 714
Transform, Laplace, sine 713
Transform, Laplace, step function 713
Transform, Laplace, unit function 713
Transform, sine 697
Transformation, active 178
Transformation, coordinate 13
Transformation, differentiation 197
Transformation, gauge 418
Transformation, Legendre 54 748
Transformation, linear 216
Transformation, Lorentz 243—247
Transformation, matrix, in space 195
Transformation, orthogonal 442
Transformation, passive 178
Transformation, rigid 190
Transient term 586
Transpose of a matrix 181
Transposition 181
Transposition, properties 182
Triangle inequality 480
Tunneling 676
Uncertainty relation 699
Uniform convergence, Weierstrass M-test 276
Uniformly convergent series 211—219
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