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
Sokolnikoff I.S. — Higher Mathematics for Engineers and Physicists
Sokolnikoff I.S. — Higher Mathematics  for  Engineers and Physicists

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Higher Mathematics for Engineers and Physicists

Автор: Sokolnikoff I.S.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 1941

Количество страниц: 587

Добавлена в каталог: 17.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$E(k,\varphi)$      48—51 54
$e^{ix}$      250
$F(k, \varphi)$      48—55
$J_n(x)$      336
$K_0(x)$      337
$sin^{-1} x$      46
Absolute convergence of series      16 17 20 21
Absolute value of complex number      441
Addition of series      21
Addition of vectors      393
Addition, parallelogram law of      394
Adiabatic process      224
Aerodynamics      133 431
Algebra, fundamental theorem of      92
Algebraic theorems      92—94
Alternating series      15
am u      51
Ampere's formula      52
Amplitude function      51
Amplitude of complex number      441
Analysis, harmonic      545
Analytic functions      451—491
Angle as a line integral      195
Angle of lap      240
Angle of twist      485
Angle, direction      146 398
Angle, solid      195
Angular velocity      61 191 236 404 424
Applications of conformal representation      479—491
Applications of line integrals      217—224
Applications of scalar and vector products      404—406
Approximate formula for n!      509
Approximate formula for probability of most probable number      511
Approximate formula in applied mathematics      55
Approximation, Laplace's or normal      515
Approximations to binomial law      512
Arc length      143
Arc length of ellipse      475
Arc length of sinusoid      55
Area      172
Area as a double integral      178
Area as a line integral      199—202
Area, element of      183 184 190 437
Area, positive and negative      200
Area, surface      188—196
Argument of complex number      441
Associative law for series      18
Associative law for vectors      394
Asymptotic formula for n!      509
Asymptotic series      524
Atmosphere, thickness of      61
Attraction of cone      196
Attraction of cylinder      196
Attraction of sphere      196 232
Attraction, law of      218 232
Attraction, motion under      58 218
Augmented matrix      118
Auxiliary equation      292
Averages, method of      534
Axes, right- or left-handed      397
Base vectors      396
Beam      240—242 307
Belt on pulley, slipping of      239
Bending moment      241
Bernoulli — Euler law      241 397
Bernoulli's equation      286
Bessel functions      273 336 381
Bessel functions, expansion in      339
Bessel's equation      332 380
beta function      276
Binomial law      502
Binomial law, approximations to      512
Binomial series      40
Biot and Savart, law of      52
boundary conditions      242 351 363 370
Buckling      299
Cable, flexible      244
Cable, flow of electricity in      386
Cable, supporting horizontal roadway      242
Cartography      479
Catenary      247 252
Cauchy — Riemann equations      221 450 455
Cauchy's equation      2
Cauchy's integral formula      461
Cauchy's integral test      12
Cauchy's integral theorem      455
Center of gravity      177 182 183 187 190 191 196 522
Change of variables in derivatives      154
Change of variables in integrals      183—188
Characteristic equation      292
Charge, distribution of      487
Charts, distribution      506
Chemical reaction      258
Circular functions      247
Circulation of a liquid      475 477
Circulation of a vector      418 419
Closed curve, area of      199—201
Closed curve, direction around      200
Closed curve, integral around      201 203 206 216 421
Closed curve, simple      200
cn u      51
Coefficients, Fourier      65
Coefficients, metric      437
Cofactor      111 112
Combinatory analysis, fundamental principle of      493
Commutative law      394 399 400
Comparison test for series      9
Complementary function      290 292
Complete elliptic integrals      48
Complex number      440
Complex number, absolute value of      441
Complex number, argument of      441
Complex number, conjugate of      444 488
Complex number, vector representation of      440
Complex roots of unity      87
Complex variable      440—491
Complex variable, functions of      444—491
Complex variable, functions of, analytic      451—491
Complex variable, functions of, derivative of      449
Complex variable, functions of, integration of      453
Complex variable, functions of, line integral of      454
Complex variable, functions of, Taylor's expansion for      464
Components of force      217
Composite function      134 137
Condenser      283 299 305 308 387
Conditionally convergent series      16 17 21
Conditions for exact differential      212 216
Conditions, Cauchy — Riemann      221 450 455
Conditions, Dirichlet      65
Conductivity      367 426
Conductor      486 489
Conformal mapping      465 471
Conformal representation, applications of      479—491
Conformal transformation      467
Conjugate functions      468 470
Conjugate of a complex number      444 488
Conservation of matter, law of      429
Conservative field of force      219 411
Consistent systems of equations      117—122
Continuity of functions      23 28 124 448
Continuity, equations of      221 429 481
Contour line      144
Convergence of series      4 7
Convergence of series, tests for      9 11 12 15 20 27 31 33
Convergence, absolute      16 17 20 21 33
Convergence, conditional      16 17 21
Convergence, interval of      31 33
Convergence, radius of      31 33
Convergence, uniform      23—30 33
Cooling, law of      254
Coordinate lines      434
Coordinate surfaces      434
Coordinates, curvilinear      433—439
Coordinates, cylindrical      152 185 190 191 378 386 434 438
Coordinates, ellipsoidal      433
Coordinates, parabolic      439
Coordinates, polar      183 184 276 279 386 438
Coordinates, spherical      152 185 382 386 434 439
cos x      46 250
cosh      247
Cosine series      73
Cosine, hyperbolic      247
Cosine, power series for      38 40
Cosines, direction      146 147 151 188 194 398
coth      249
Cramer's rule      113
Cross product      400
Cubic equation, algebraic solution of      86
Cubic equation, graphical solution of      83
Curl      418 422 423 438
Current      386 427
Curve fitting      525—560
Curve, distribution      504 516
Curve, elastic      240 307
Curve, map of      466
Curves, integral      226 228 279
Curves, orthogonal      277 468
Curvilinear coordinates      433—439
Cylinder functions      see “Bessel functions”
Cylindrical coordinates      152 185 190 191 378 386 434 438
Dam, gravity      483
Damping, viscous      302
De Moivre's theorem      90 442
Dead-beat motion      304
Decomposition of vectors      396
Definite integrals      172
Definite integrals, change of variable in      183—188
Definite integrals, evaluation of      172
Definite integrals, mean-value theorem for      210
Deflection      299
Degree of differential equation      225
Del, $\nabla$      see “Nabla”
Delta amplitude, dn      51
Dependence, functional      2
Dependence, linear      116
Dependent events      495
Derivation of differential equations      231—247
Derivative      125
Derivative of functions of a complex variable      449 452 463
Derivative of hyperbolic functions      255
Derivative of series      29 33
Derivative, directional      143 151 219
Derivative, normal      144 146 152
Derivative, partial      125—143 153
Derivative, total      130—143
Descartes's rule of signs      94
Determinants      102—114
Determinants of matrix      115
Determinants, cofactors of      111
Determinants, expansion of      10
Determinants, functional or Jacobian      183
Determinants, laplace development of      111
Determinants, minors of      110
Determinants, product of      110
Determinants, properties of      107—112
Determinants, solution of equations by      102—114
Determinants, Wronskian      317
Deviation, standard      523
Diagonal term of determinant      107
Diagram, pv      223
Differences      527
Differentia equations of electric circuits      301 305 386
Differentia equations of heat conduction      367
Differentia equations of membrane      377
Differentia equations of vibrating spring      308
Differentia equations of vibrating string      361
Differentia equations with constant coefficients      287—315 357
Differentia equations with variable coefficients      284 315—349
Differentia equations, general solution of      230 290 292 350 358
Differentia equations, homogeneous      259 261
Differentia equations, homogeneous linear      290
Differentia equations, integral curve of      226 228
Differentia equations, integrating factor of      265
Differentia equations, Laplace's      369 382 385 386 439 451 470 481
Differentia equations, Legendre's      342 384
Differentia equations, linear      226 283—349 357
Differentia equations, numerical solution of      346
Differentia equations, order of      225
Differentia equations, ordinary      225—349
Differentia equations, partial      225 350—391
Differentia equations, particular integral of      290 292 297 318 359
Differentia equations, particular solution of      230
Differentia equations, second order      269 295
Differentia equations, separation of variables in      257
Differentia equations, simultaneous      312—315
Differentia equations, singular solution of      279
Differentia equations, solution in series      228 325 349 364
Differentia equations, solution of      226
Differential equations      225—391
Differential equations, Bernoulli's      286
Differential equations, Bessel's      332 380
Differential equations, Cauchy — Riemann      221 450 455
Differential equations, Cauchy's      32
Differential equations, definition of      225
Differential equations, degree of      225
Differential equations, derivation of      231—247
Differential equations, Euler's      322 430
Differential equations, exact      262
Differential equations, first order      256 267
Differential equations, Fourier      425
Differential expression      225
Differential of area      184 190
Differential of volume      185 187 190
Differential operators      287—299 357 406
Differential, exact      211 212 216 222 224 262 411 418 420
Differential, partial      128—143
Differential, total      127—143
Differentiation of implicit functions      132—142
Differentiation of series      29 33 34 80
Differentiation under integral sign      167
Differentiation, partial      123—171
Differentiation, term by term      33 34 80
Diffusion      369 427
Diffusivity      36
Direction angles      146 398
Direction components      146
Direction cosines      146 147 151 188 194 398
Direction ratios      150 151
Directional derivative      143 151 219;
Dirichlet conditions      65
Discharge of condenser      299
Discontinuity, finite      64
Discriminant of cubic      89
Distance, element of      435
Distribution charts      506
Distribution curve      504 516
Distribution of charge      487
Distributive law      399 400
Divergence of a vector      411 423 438
Divergence of series      5 8 20
Divergence theorem      191 415 425 428
dn u      51
Dot product      399
Double integrals      173 192 202 275
Drying of porous solids      369
Dynamics, laws of      231
e      42
Effects, superposition of      129 223
Elastic curve      240 307
Elasticity      241 422 484—486
1 2 3 4
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте