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Hassani S. — Mathematical Methods: for Students of Physics and Related Fields
Hassani S. — Mathematical Methods: for Students of Physics and Related Fields



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Название: Mathematical Methods: for Students of Physics and Related Fields

Автор: Hassani S.

Аннотация:

I suppose no introductory math methods book can have everything. But this book would get six stars if it had included the matrix formulation of the eigenvalue problem with some treatment of unitary matrices. In addition, a solutions manual to aid in self study would be nice. Or at least some answers or hints to some problems. Otherwise, a neat book.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 828

Добавлена в каталог: 19.10.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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