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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
Abel      331 503 675
Abel, Niels Henrik, biography      326
Absolute differential      463
Acceleration      44
Acceleration, components, spherical coordinates      353
Active transformation      178
Addition of velocities, relativistic law of      246
Adjoint DO      571—573
Advanced Green’s function      712
Affine connection      462—464 470
Algebra, fundamental theorem      478 511
Amplitude, complex      486
Angle as integral      345
Angle, solid      344—350
Angle, solid, total      349
Angle, total      346
angular momentum      28
Angular momentum operator      412
Angular momentum operator, spherical coordinates      435
Angular momentum, conservation      351
Angular momentum, conservation, central force      354
Antisymmetric tensor      452
Arago      321
Archimedes      47
Archimedes, of Syracuse biography      81
Area element, primary      60
Astragalus      781
Astrophysics      415
Astrophysics, Poisson equation      415
Attractor      766
Attractor, strange      778
Autonomous      767
Average      790 801
Azimuth      12
Azimuthal angle      12
Azimuthal equation      549
Azimuthal symmetry      607
Barrow      87 96 97 481
Barrow, Isaac, biography      47
Basin of attraction      766
Basis      16
Basis for plane      175
Basis, orthonormal      186
Basis, standard      216
Bayes’ Theorem      788
Beltrami identity      731
bernoulli      272 294 320 321 326 642
Bernoulli’s FODE      560
bessel      322
Bessel differential equation      548 641
Bessel differential equation, recursion relation      644
Bessel equation, Liouville substitution      589
Bessel function      333—335 644
Bessel function, addition theorem      651
Bessel function, confluent hypergeometric      652
Bessel function, expansion in      653—654
Bessel function, expansion in, physical examples      654—656
Bessel function, generating function      651
Bessel function, integral representation      652
Bessel function, Laplace’s equation      642—654
Bessel function, order, negative integer      646
Bessel function, orthogonality relation      649
Bessel function, properties      646—652
Bessel function, recurrence relation      646
Bessel function, second kind      645
Bessel, Friedrich Wilhelm, biography      641
Bessel’s integral      652
beta function      320
bezout      210
Bianchi identity      470
Bifurcation      757
Bifurcation, Hopf      770
Bifurcation, period-doubling      757
Binding energy      582
Binomial probability distribution      792—797
Binomial theorem      265
Biography, Abel, Niels Henrik      326
Biography, Archimedes, of Syracuse      81
Biography, Barrow, Isaac      47
Biography, Bessel, Friedrich Wilhelm      641
Biography, Biot, Jean-Baptiste      115
Biography, Cauchy, Augustin-Louis      503
Biography, Cavalieri, Bonaventura      90
Biography, Cavendish, Henry      23
Biography, Cayley, Arthur      192
Biography, Coulomb, Charles      23
Biography, de Fermat, Pierre      15
Biography, de Laplace, Pierre Simon      593
Biography, Descartes, Rene      15
Biography, Dirac, Paul Adrien Maurice      151
Biography, d’Alembert, Jean Le Rond      548
Biography, Euler, Leonhard      321
Biography, Fourier, Joseph      304
Biography, Gauss, Johann Carl Friedrich      330
Biography, Gibbs, Josiah Willard      381
Biography, Hamilton, William R.      10
Biography, Heaviside, Oliver      382
Biography, Hermite, Charles      674
Biography, Jacobi, Carl Gustav Jacob      326
Biography, Kepler, Johannes      579
Biography, Legendre, Adrien-Marie      617
Biography, Leibniz, Gottfried Wilhelm      103
Biography, Maxwell, James Clerk      419
Biography, Newton, Isaac      96
Biography, Savart, Felix      115
Biography, Stokes, George Gabriel      398
Biography, Sylvester, James Joseph      210
Biography, Taylor, Brook      294
Biography, Wallis, John      90
Biot — Savart law      30
Biot — Savart law, circuit      111
Biot — Savart law, general      110
Biot, Jean-Baptiste, biography      115
Bipolar coordinates      73
Bipolar coordinates, three-dimensional      74 438
Boltzmann      419
Bose — Einstein statistics      792
Boundary condition      542
Boundary condition, Dirichlet      593
Boundary condition, Neumann      593
Boundary conditions, periodic      574
Boundary conditions, separated      574
Brachistochrone      731
Bromwich contour      722
Butterfly effect      771
Calculus of residues      525—536
Calculus, fundamental theorem      87
Canonical equations      749
Cantor set      776
Cardan      481
Cartesian vector      216
Cartesian vector, component      216
Cauchy      279 326 331 594
Cauchy criterion      261
Cauchy integral formula      508—509
Cauchy — Goursat theorem      505
Cauchy — Riemann conditions      500
Cauchy — Riemann theorem      501
Cauchy, Augustin-Louis, biography      503
Cavalieri, Bonaventura, biography      90
Cavendish, Henry, biography      23
Cayley      192 211
Cayley, Arthur, biography      192
Center of mass      21
Central force      354 579—583
Central force, eccentricity      581
Central limit theorem      809
Centrifugal potential      581
Chain rule      55—57
Champollion      304
Chaos      753
Chaos, theory, systems obeying DE      770—773
Chaos, theory, systems obeying iterated map      763
Chaos, universality      113—118
Coefficient      173
Cofactor      205
Collision, relativistic      250—253
Column vector      177
Combination      791
Complement      783
Complex amplitude      486
Complex conjugate      479
Complex function      497—511
Complex function, analytic      499
Complex function, continuous      499
Complex function, derivative      499—503
Complex function, derivative as integral      509—511
Complex function, integration      503—508
Complex function, regular point      499
Complex function, singular point      499
Complex function, singularity      499
Complex integral, positive sense      507
Complex number      478
Complex number, absolute value      479
Complex number, argument      483
Complex number, Cartesian form      478
Complex number, Fourier series      489
Complex number, imaginary part      478
Complex number, polar form      482
Complex number, real part      478
Complex number, roots      486
complex numbers      471—488
Complex numbers, Cartesian form      471—481
Complex numbers, Fourier series      488—491
Complex numbers, polar form      482—488
Complex plane      478
Complex power series      516
Complex power series, analyticity      517
Complex power series, convergence circle      517
Complex power series, differentiation      517
Complex power series, integration      517
Complex power series, uniform convergence      517
Complex series, absolute convergence      516
Component      176
Compton wavelength      253
Conditional probability      186—189
Conducting cylindrical can      655
Conductor electrical      594
Conductor heat      598
Confluent hypergeometric function      332—333
Connection, affine      462—464 470
Connection, metric      465—468
Constraints      360 738
Continuity equation      318—381
Continuity equation, differential form      380
Continuity equation, integral form      380
contour      505
Contour, Bromwich      722
Contour, simple closed      505
Contractible to zero      400
Contraction      451
Contravariant vector      445—447
Convergence test      261—212
Convolution      716
Coordinate system      11—15
Coordinate system, bipolar      73
Coordinate system, bipolar, three-dimensional      74 438
Coordinate system, cartesian      11 12
Coordinate system, cylindrical      12
Coordinate system, elliptic      73 213
Coordinate system, elliptic cylindrical      73 213 436
Coordinate system, parabolic      73
Coordinate system, paraboloidal      74 437
Coordinate system, polar      11
Coordinate system, prolate spheroidal      74 213 437
Coordinate system, spherical      12
Coordinate system, toroidal      74 213 437
Coordinate system, unit vector      31—36
Coordinate system, vector      16—31
Coordinate time      239—240
Coordinate, generalized      741
Copernicus      97 417 580
Correlation, probability      803
Cosine transform      697
Coulomb      744
Coulomb, Charles, biography      23
Coulomb’s law      22 24
Covariance in probability      803
Covariant derivative      464—465
Covariant differential      462—464
Covariant vector      445—447
Cramer      210
Crelle      326
Cross product      7 28—31
Cross product as a tensor      447
Cross product, Levi-Civita symbols      458
Cross product, parallelepiped volume      10
Cross product, parallelogram area      9
Curl, curvilinear coordinates      431-435
Curl, vector field      391—398
Current density      379
Current density and flux      379
Curvature      468—471
Curvature, scalar      470
Curve, parametric equation      61
Curve, primary      59
Curvilinear coordinates, curl      431—435
Curvilinear coordinates, divergence      437—431
Curvilinear coordinates, gradient      425—427
Curvilinear coordinates, Laplacian      435
Curvilinear vector analysis      433—435
Cycloid      732
Damping factor      311
de Broglie      666
de Fermat, Pierre, biography      15
de Laplace, Pierre Simon, biography      593
De Moivre theorem      485
DE, first-order      551—561
DE, first-order, integrating factor      553—555
DE, first-order, linear      556—561
DE, second-order      563—570
Del operator      359
Delta function, and Laplacian      412
Delta function, cylindrical      160
Delta function, derivative      147 159
Delta function, Legendre expansion      630
Delta function, limit of sequence      492
Delta function, one-variable      139—151
Delta function, point sources      144
Delta function, polar      156
Delta function, representation      431—432
Delta function, spherical      160
Delta function, three-variable      159—165
Delta function, two-dimensional      155
Delta function, two-variable      154—159
Delta, Kronecker      442
density      45
Density function, surface      154
Density of states      677
Density, current      379
Density, flux      371—381
Density, probability      801
Derivative      44—46
Derivative, covariant      464—465
Derivative, functional      730
Derivative, mixed      52
Derivative, normal      593
Derivative, partial      47—59
Derivative, time, vector      350—355
Derivative, total      86
1 2 3 4 5
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