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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
Descartes, Rene, biography      15
Determinant      202—207 222—227
Determinant, parallelepiped volume      10
Differential      53—54
Differential equation, Bessel      548 641
Differential equation, Bessel, recursion relation      644
Differential equation, Bessel, second solution      645—646
Differential equation, Bessel, solutions      642—645
Differential equation, confluent hypergeometric      332
Differential equation, Hermite, recursion relation      668
Differential equation, hypergeometric      328
Differential equation, Legendre      608
Differential equation, Legendre, second solution      617—619
Differential equation, order of      556
Differential equation, ordinary      542
Differential equation, partial      542
Differential equation, second-order linear, adjoint      572
Differential equation, second-order linear, integrating factor      571
Differential operator      217 576
Differential, absolute      463
Differential, covariant      462—464
Differential, exact      553
Diffusion equation      661
Diffusion equation, time-dependent      663
DIMENSION      176
Dimension, fractal      775—778
Dipole moment      298
Dipole potential      299
Dipole, approximation      298
Dipole, magnetic      410
Dirac      26
Dirac delta function in variational problems      730
Dirac delta function, step function      153
Dirac, biography      151
Dirac, Paul Adrien Maurice, biography      151
Disjoint sets      783
Distance, spacetime      240—242
distribution      146
Distribution, normal      806—809
Distribution, normal, sum of two      807
Divergence      371—381
Divergence, curvilinear coordinates      425—431
Divergence, spherical coordinates      430
Divergence, Theorem      374—378
Divergence, vector field      374
Doppler shift, relativistic      255
Dot product      5 21
Double del operation      407—412
Double factorial      319
Dummy index      262
Dynamical system, autonomous      767
Dynamical system, nonautonomous      767
D’Alembert      273 303 743
d’Alembert, Jean Le Rond, biography      548
Eccentricity      581
Eigenvalue      224
Eigenvalue equation      224
Eigenvector      224
Einstein      215 666
Einstein curvature tensor      471
Einstein equation      471
Einstein, summation convention      441
electric field      104
Electric field, point charge      25
Electrical conductor      594
Electrodynamics, Lagrangian density      745
Electrodynamics, tensors      459—461
Element, area      59—68
Element, Cartesian      60—62
Element, cylindrical      65—68
Element, length      59—68
Element, spherical      62—64
Element, volume      59—68
Elliptic coordinates      73 213
Elliptic cylindrical coordinates      73 213 436
Elliptic functions      322—326
Elliptic integral, complete      324
Elliptic integral, first kind      323
Elliptic integral, second kind      323
Empty set      782
Energy momentum tensor      471
Energy, relativistic      249
Energy, zero mass particle      250
Equation, canonical      749
Equation, Klein — Gordon      747
Error function      322 806
Euclid      47 80 90
Euler      272 303 326 330 503 642 743
Euler angles      201
Euler equation      483
Euler — Lagrange equation      729—731 734—736 738 739
Euler, Leonhard, biography      321
Euler’s equation      414
Event      784
Event, compound      784
Event, elementary      784
Event, random      781
Exact differential      553
expectation value      790
Extremum problem      727
Extremum problem, gradient      359—361
Factorial function      99 318
Factorial, double      319
Faraday      26
Feigenbaum alpha      774
Feigenbaum delta      773
Feigenbaum numbers      113—115
Fermi energy      677
Fermi — Dirac statistics      791
Feynman      26
Field      21—28 343
Field point      25 78
Field, electric      104
Field, scalar      343
Field, spinor      343
Field, tensor      343
Field, vector      343
Fine structure constant      679
Finite constraint problem      739
Fixed point, iterated map      755
Fixed point, stable      756
Flat space      470
Florence Nightingale      210
Fluid dynamics      413—415
Flux      365—369
Flux, density      311—381
Flux, vector field      365—369
FODE      551—561
FODE, Bernoulli      560
FODE, homogeneous      560
FODE, integral of      552
FODE, integrating factor      553—555
FODE, Lagrange      561
FODE, linear      556—561
FODE, normal      551
FOLDE      556—561
FOLDE, explicit solution      557
Force density      414
Force, central      354
Form factor      702
Four-acceleration      248
Four-momentum      241—250
Four-vector      243
Four-velocity      241—250
FOURIER      115 279 322
Fourier series      299—303
Fourier series, complex numbers      488—491
Fourier series, to Fourier transform      693—696
Fourier transform      693—112
Fourier transform and derivatives      102—103
Fourier transform and quark model      702
Fourier transform, application to DEs      102—104
Fourier transform, convolution theorem      724
Fourier transform, Coulomb potential, charge distribution      701
Fourier transform, Coulomb potential, point charge      700
Fourier transform, definition      695
Fourier transform, examples      698—102
Fourier transform, Gaussian      699
Fourier transform, Green’s functions      105—112
Fourier transform, heat equation, one-dimensional      704
Fourier transform, higher dimensions      696
Fourier transform, inverse      695
Fourier transform, of delta function      698
Fourier transform, properties      696
Fourier — Bessel series      655
Fourier, Joseph, biography      304
Fractal      777
Fractal dimension      115—118
Free index      440
Frequency, natural      586
Frobenius method      608—610 693
Function, analytic, isolated singularity      525
Function, analytic, principal part      528
Function, antiderivative      87
Function, as integral      311—326
Function, as power series      321—335
Function, Bessel      333—335 644
Function, Bessel, Laplace’s equation      642—654
Function, Beta      320
Function, complex      491—511
Function, complex hyperbolic      502
Function, complex trigonometric      502
Function, complex, derivative      499—503
Function, complex, residue      526
Function, confluent hypergeometric      332
Function, delta, point sources      144
Function, elliptic      322—326
Function, error      322
Function, even      84
Function, factorial      318
Function, gain      586
Function, Gamma      318—319
Function, gamma, Stirling approximation      319
Function, harmonic      501
Function, homogeneous      51—59
Function, hypergeometric      328—330
Function, hypergeometric, integral representation      329
Function, iterated map      755
Function, linear density      143
Function, logistic map      755
Function, odd      84
Function, periodic      299
Function, piecewise continuous      82
Function, primitive      87
Function, rational, integral      529—531
Function, sequence      274—279
Function, series      274—279
Function, special      550
Function, transfer      586
Functional      728
Functional derivative      730
Fundamental theorem of algebra      478
Fundamental theorem of calculus      87
G-orthogonal      187 219
G-orthogonal, matrix      191 222
G-orthogonal, matrix, space      200
G-orthogonal, vector, in space      199
Gain function      586
Galileo      26 90 97 325
Gamma function      318—319
Gamma function, Stirling approximation      319
Gauge transformation      418
Gauss      279 321 326 503 617 641
Gauss elimination      231
Gauss, Johann Carl Friedrich, biography      330
Gaussian, Fourier transform of      699
Gauss’s law      369
Gauss’s law, differential form      378
Gauss’s law, integral form      377
Gay-Lussac      594
Generalized coordinates      741
Generalized momentum      748
Generating function, Hermite polynomials      673
Geodesic      465
Geodesic relativity      466
Geodesic sphere      466
Geometric series      271
Geometry and metric tensor      456
Geometry, distance formula      241
Gibbs      370
Gibbs, Josiah Willard, biography      381
Gibb’s phenomenon      302
Goldbach      320
Gradient      355—361 445
Gradient, components      440
Gradient, curvilinear coordinates, normal to surface      358
Gradient, three dimensions      357
Gradient, two dimensions      357
Gram — Schmidt process      221
Gram — Schmidt process for space      199
Grassmann      382
Green      210
Green’s function, advanced      712
Green’s function, differebtial eq. for      707
Green’s function, heat equation      709—710
Green’s function, Laplacian      708—709
Green’s function, Poisson equation      709
Green’s function, retarded      712
Green’s function, wave equation      711—712
Green’s functions      705—712
Gregory      272 294
Guided wave      682—686
Guided wave, TE      684
Guided wave, TEM      685
Guided wave, TM      684
Halley      641
Hamilton      369 382
Hamilton, William R., biography      10
Hamiltonian      747—749
Harmonic oscillator, quantum      667
Harmonic oscillator, quantum, Hermite DE      668
Heat conductor      598
Heat equation      543 661—665
Heat equation, Green’s function      709—710
Heat equation, one-dimensional      704
Heat transfer, time-dependent      663
Heat-conducting plate, circular      664—665
Heat-conducting plate, rectangular      663—664
Heat-conducting rod      662—663
Heaviside      370
Heaviside, Oliver, biography      382
Heisenberg      26 151 675
Heisenberg uncertainty relation      699
Helmholtz coil      291—293
Helmholtz free energy      54
Hermite DE, recursion relation      668
Hermite polynomial      670
Hermite polynomial, orthogonality      672
Hermite polynomials      229 575
Hermite polynomials, generating function      673
Hermite, Charles, biography      674
HNOLDE      575
HNOLDE, characteristic polynomial      576
Homogeneous function      57—59
Homogeneous SOLDE, exact      571
Homogeneous, function      57
Hooke      97
Hopf bifurcation      770
HSOLDE      564
HSOLDE, second solution      568
1 2 3 4 5
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