Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Riley, Hobson — Mathematical Methods for Physics and Engineering
Riley, Hobson — Mathematical Methods for Physics and Engineering



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Mathematical Methods for Physics and Engineering

Авторы: Riley, Hobson

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2-d edition

Количество страниц: 1253

Добавлена в каталог: 17.02.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Probability for union $\cup$      963 967—970
Probability functions (PF)      981
Probability functions (PF), cumulative (CPF)      981 983
Probability functions (PF), density functions (PDF)      982
Probability generating functions (PGF)      999—1004
Probability generating functions (PGF) and MGF      1005
Probability generating functions (PGF), binomial      1003
Probability generating functions (PGF), definition      1000
Probability generating functions (PGF), geometric      1001
Probability generating functions (PGF), mean and variance      1000—1001
Probability generating functions (PGF), Poisson      1000
Probability generating functions (PGF), sums of RV      1003
Probability generating functions (PGF), trials      1000
Probability generating functions (PGF), variable sums of RV      1003—1004
Probability, axioms      967
Probability, conditional      970—975
Probability, conditional, Bayes' theorem      974—975
Probability, conditional, combining      972
Probability, definition      967
Product rule for differentiation      45—47 49—51
Products of inertia      800
Projection operators for irreps      949 958
Projection tensors      828
Proper rotations      795
Proper subgroups      903
Pseudoscalars      796 799
Pseudotensors      795—799 813
Pseudovectors      795—799
Quadratic equations, complex roots of      86—87
Quadratic equations, properties of roots      10
Quadratic equations, roots of      2
Quadratic forms      293—297
Quadratic forms, positive definite and semi-definite      295
Quadratic forms, quadratic surfaces      297
Quadratic forms, removing cross terms      294
Quadratic forms, stationary properties of eigenvectors      295—296
Quartiles, of RVD      987
Quaternion group      915 955
Quotient law for tensors      788—790
Quotient rule, for differentiation      48
Quotient test for series      130
Radius of convergence      136 717
Radius of curvature of space curves      348
Radius of torsion of space curves      349
random number generation      1177
Random numbers, non-uniform distribution      1194
Random variable distributions      see "Probability distributions"
Random variables (RV)      961 981—985
Random variables (RV), continuous      982—985
Random variables (RV), dependent      1038—1047
Random variables (RV), discrete      981—982
Random variables (RV), independent      998 1042
Random variables (RV), sums of      1002—1004
Range, of a matrix      298
Rank of matrices      272
Rank of matrices and determinants      272—273
Rank of matrices and linear dependence      272
Rank of tensors      see "Order of tensors"
Rate of change of a function of one real variable      42
Rate of change of a function of several real variables      156—158
Ratio Comparison Test      130
Ratio test (D'Alembert)      129 718
Ratio test (D'Alembert) in convergence of power series      135
Ratio theorem      219
Ratio theorem and centroid of a triangle      220—221
Rayleigh — Ritz method      333—335 859
Real part/term of a complex number      86—87
Real roots, of a polynomial equation      1
Rearrangement methods for algebraic equations      1151—1152
Reciprocal vectors      237—238 372 804 808
Reciprocity relation for partial derivatives      160
Rectangular distribution      1036
Rectangular distribution, Fourier transform of      448
Recurrence relations      502—507
Recurrence relations, characteristic equation      505
Recurrence relations, coefficients      542 543 1163
Recurrence relations, first-order      503
Recurrence relations, functions      562 569—570
Recurrence relations, higher-order      507
Recurrence relations, second-order      505
Reducible representations      926 928
Reduction formulae for integrals      70
Reflections and improper rotations      795
Reflections as symmetry operations      883—884
Reflexivity, and equivalence relations      906
Regular functions      see "Analytic functions"
Regular representations      939 952
Regular singular points      540 544—546
Relative velocities      222
Remainder term in Taylor series      141
Repeated roots of auxiliary equation      499
Representations      918
Representations, definition      924
Representations, dimension of      920 924
Representations, equivalent      926—928
Representations, faithful      925 940
Representations, generation of      920—926 954
Representations, irreducible      see "Irreps"
Representations, natural      923 952
Representations, product      945—947
Representations, reducible      926 928
Representations, regular      939 952
Representations, regular, counting irreps      940
Representations, unitary      928
Representative matrices      921
Representative matrices of identity      924
Representative matrices, block-diagonal      928
Representative matrices, eigenvalues      942
Representative matrices, inverse      925
Representative matrices, number needed, and order of group      924
Residue at a pole      750—752
Residue, theorem      752—754
Resolution function      452
Resolvent kernel      873 874
Response matrix, for linear least squares      1115
Rhomboid, volume of      241
Riemann tensor      830
Riemann theorem for conditional convergence      127
Riemann zeta series      131 132
Right hand screw rule      226
Rodrigues' formula for associated Legendre functions      594
Rodrigues' formula for Chebyshev polynomials      597
Rodrigues' formula for Hermite polynomials      596
Rodrigues' formula for Laguerre polynomials      577 596
Rodrigues' formula for Legendre polynomials      559 594
Rolle's theorem      56
Root test (Cauchy)      132 717
Roots of a polynomial equation, properties      9
Roots of unity      100—101
Roots, of a polynomial equation      2
Rope, suspended at its ends      845
Rotation groups (continuous), invariant subspaces      930
Rotation matrices as a group      890
Rotation of a vector      see "Curl"
Rotations as symmetry operations      883—884
Rotations, axes and orthogonal matrices      779 780 810
Rotations, improper      795—797
Rotations, invariance under      783
Rotations, product of      780
Rotations, proper      795
Rouche's theorem      755—757
Row matrix      255
Runge — Kutta methods      1186—1188
Rv      see "Random variables"
RVD (random variable distributions)      see "Probability distributions"
Saddle points      165
Saddle points, sufficient conditions      167 170
Sampling with/without replacement      971
Sampling, correlation      1070
Sampling, covariance      1070
Sampling, space      961
Sampling, statistics      1065—1072
Scalar fields      353
Scalar fields, derivative along a space curve      355
Scalar fields, gradient      354—358
Scalar fields, line integrals      383—393
Scalar fields, rate of change      355
Scalar product      223—226
Scalar product and inner product      249
Scalar product and metric tensor      807
Scalar product and perpendicular vectors      223 249
Scalar product for vectors with complex components      225
Scalar product in Cartesian coordinates      225
Scalar product, invariance      779 788
Scalar triple product      228—230
Scalar triple product in Cartesian coordinates      229
Scalar triple product in Cartesian coordinates, determinant form      229
Scalar triple product, cyclic permutation of      229
Scalar triple product, interchange of dot and cross      229
Scalars      216—217
Scalars, invariance      779
Scalars, zero-order tensors      782
Scale factors      365 368 370
Scale factors and metric tensor      806 821
Scattering in quantum mechanics      469
Schmidt — Hilbert theory      875—878
Schroedinger equation      612
Schroedinger equation, constant potential      703
Schroedinger equation, hydrogen atom      675
Schroedinger equation, numerical solution      1198
Schroedinger equation, variational approach      854
Schwarz inequality      251 586
Schwarz — Christoffel transformation      733—735
Second differences      1179
Second-order differential equations      see "Ordinary differential equations" "Partial
Secular determinant      285
Self-adjoint operators      see "Hermitian operators"
Semicircle, angle in      18
Semicircular lamina, centre of mass      200
Separable kernel in integral equations      866—867
Separable variables in ODE      477
Separation constants      648 650
Separation of variables, for PDE      646—681
Separation of variables, for PDE, diffusion equation      649 655—657 671 685
Separation of variables, for PDE, expansion methods      676—678
Separation of variables, for PDE, general method      646—650
Separation of variables, for PDE, Helmholtz equation      671—675
Separation of variables, for PDE, inhomogeneous boundary conditions      655—657
Separation of variables, for PDE, inhomogeneous equations      678—681
Separation of variables, for PDE, Laplace equation      650—655 658—671 676
Separation of variables, for PDE, polar coordinates      658—681
Separation of variables, for PDE, separation constants      648 650
Separation of variables, for PDE, superposition methods      650—657
Separation of variables, for PDE, wave equation      647—649 671 673
Series      118—144
Series solutions of differential equations      537—558 564—568
Series solutions of differential equations about ordinary points      541—544
Series solutions of differential equations about regular singular points      544—546
Series solutions of differential equations about regular singular points, Frobenius series      545
Series solutions of differential equations, convergence      541
Series solutions of differential equations, indicial equation      545
Series solutions of differential equations, linear independence      546
Series solutions of differential equations, polynomial solutions      544 554—555
Series solutions of differential equations, recurrence relation      542 543
Series solutions of differential equations, second solution      542 549—554
Series solutions of differential equations, second solution, derivative method      551—554
Series solutions of differential equations, second solution, Wronskian method      550 558
Series, convergence of      see "Convergence of infinite series"
Series, differentiation of      134
Series, finite and infinite      119
Series, integration of      134
Series, multiplication by a scalar      134
Series, multiplication of (Cauchy product)      134
Series, notation      119
Series, operations      134
Series, particular, arithmetic      120
Series, particular, arithmetico-geometric      121
Series, particular, Fourier      see "Fourier series"
Series, particular, geometric      120
Series, particular, Maclaurin      141 143
Series, particular, power      see "Power series"
Series, particular, powers of natural numbers      124—125
Series, particular, Riemann zeta      131 132
Series, particular, Taylor      see "Taylor series"
Series, summation      see "Summation of series"
Shortest path      837
Shortest path and geodesies      825 831
Similarity transformations      288—290 778—779 934
Similarity transformations, properties of matrix under      289—290
Similarity transformations, unitary transformations      290
Simple harmonic oscillator      582 595
Simple harmonic oscillator, energy levels of      604
Simple harmonic oscillator, equation      541
Simple poles      724
Simpson's rule      1167
Simultaneous linear equations      297—312
Simultaneous linear equations and intersection of planes      305—306
Simultaneous linear equations, homogeneous and inhomogeneous      298
Simultaneous linear equations, singular value decomposition      306—312
Simultaneous linear equations, solution using, Cramer's rule      304—305
Simultaneous linear equations, solution using, inverse matrix      300—301
Simultaneous linear equations, solution using, numerical methods      see "Numerical methods for simultaneous linear equations"
Sine in terms of exponential functions      105
Sine, Maclaurin series for      143
Sine, orthogonality relations      423
Singular and non-singular integral equations      864
Singular and non-singular linear operators      254
Singular and non-singular matrices      268
Singular integrals      see "Improper integrals"
Singular points (singularities)      712 723—725
Singular points (singularities), essential      724 750
Singular points (singularities), removable      725
Singular points of ODE      539
Singular points of ODE, irregular      540
Singular points of ODE, particular equations      541
Singular points of ODE, regular      540
Singular solution of ODE      475 487 488 490
Singular value decomposition and simultaneous linear equations      306—312
Singular value decomposition, singular values      307
sinh, hyperbolic sine      105 720 see
Skew-symmetric matrices      275
Snell's law      847
Soap films      839—840
Solenoidal vectors      358 395
Solid angle as surface integral      401
Solid angle, subtended by rectangle      417
Solid: mass, centre of mass and centroid      196—198
Source density      612
Space curves      346—350
Space curves, arc length      347
Space curves, binormal      348
Space curves, curvature      348
Space curves, Frenet — Serret formulae      349
Space curves, parametric equations      346
Space curves, principal normal      348
Space curves, radius of curvature      348
Space curves, radius of torsion      349
Space curves, tangent vector      348
Space curves, torsion      348
spaces      see "Vector spaces"
Span of a set of vectors      247
Sphere, vector equation of      232
Spherical Bessel functions $j_{\ell}(z)$      675
Spherical harmonics $Y^{m}_{\ell}(\theta,\phi)$      670—671
spherical polar coordinates      367—369
Spherical polar coordinates, area element      368
Spherical polar coordinates, basis vectors      368
Spherical polar coordinates, length element      368
Spherical polar coordinates, vector operators      367—369
Spherical polar coordinates, volume element      208 368
1 2 3 4 5 6 7 8 9 10
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2019
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте