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Willers A. — Practical Analysis
Willers A. — Practical Analysis

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Название: Practical Analysis

Автор: Willers A.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Количество страниц: 422

Добавлена в каталог: 21.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abdank-Abakanowitz      153 411 413
Abscissa, mean      149
Absolute error      1 230 271
Accuracy of reading      8
Accuracy of reading of slide rules      21
Adams      128 130 383 396
Addition curve, logarithmic      232
Addition logarithms      232
Adjoint equations      288
Alignment charts      33 38
Amsler      161 195
Analysis of empirical functions      296
Analyzers, harmonic      331
Approximating curves, calculation of      271 296
Approximation by linear functions      300
Arc length, determination of      161
Argument interval, determination of      10
Atzler      135
Avery      60
Bashforth      130
Bauschinger      300
Berg, van der      276
bernoulli      163 170 264
Bernoulli numbers      163
bessel      1
Bessel’s integration formula      119 122 143
Bessel’s interpolation formula      65 107 139 162
Bieberbach      227
Binary scales      41 44
Birge      68
Blaschke      325
Bleich      295
Blochmann      148
Blumenthal      273
Bortkiewitz      189
boundary conditions      289
Boundary value problems in difference equations      286
Boys      395
Brauer      234
Brion      7
Bruns      113
Burkhardt      363
Calculating machines      45
Calculating machines, division techniques on      57
Calculating machines, square and cube roots on      60
Calculating machines, summation techniques on      55
Calculation checks      99 216 267 270 343
Calculation error      2
Calculation scheme for Graeffe’s method      258
Calculation scheme for Graeffe’s method for harmonic analysis      345 354
Calculation scheme for Graeffe’s method for interpolation      90 96 99 103 115 133
Calculation scheme for Graeffe’s method for numerical integration      386 391 393 409
Calculation scheme for Graeffe’s method for the method of least squares      303
Calculation scheme for Graeffe’s method, for the Runge — Kutta method      381 400
Calculation scheme for Graeffe’s method, for the solution of equations      207 222
Calculation scheme for Graeffe’s method, for the solution of equations, by Gauss      267 270 272
Calculation scheme for Graeffe’s method, Horner’s      75 92 98 229 239 257 262
Cartesian charts      33
Cartesian charts, coordinates      396
Cassebaum      325
Cauchy      90
Cauchy difference method      377
Center of mass      157 201
Check on accuracy of slide rule scales      16
Chenevier      36
Chenevier tables      36
Christoffel      191
Collins      102 121
Compensation planimeter      195
Complex roots, graphic determination of      251
Complex roots, graphic determination of, mechanical determination of      249
Complex roots, graphic determination of, numerical determination of      208 210 244 257 262
Comrie      64
Constant storage mechanism (CSM)      50
Convergence of interpolation series      102 110 120
Convergence of interpolation series of iteration processes      210 212
Convergence of interpolation series of Newton’s method      219 224
Convergence of interpolation series of the method of stepwise approximation      387 392 407
Coradi      153 161 204
Correction      1
Correction term in the MacLaurin formula      166
Correction term in the MacLaurin formula in Newton’s formula      167
Correction term in the MacLaurin formula in Simpson’s formula      167
Correction term in the MacLaurin formula in the trapezoid rule      166
Correction term in the MacLaurin formula in the Weddle formula      168
Cotes      173
Cote’s mean value formula      173
Cranz      7 375
Crepin      36
Crepin tables      36
Cubature      130
Curve meters      161
Czuber      285 375
Dandelin      227 258
Decay processes      356
Deimler      208 248
Descartes’ Rule of Signs      238
Determinants, calculation of      271
Difference equations, adjoint      288
Difference equations, adjoint, graphical solution of      291
Difference equations, adjoint, homogeneous      286
Difference equations, adjoint, inhomogeneous      286
Difference equations, adjoint, linear      285
Difference schemes, check on      99
Difference schemes, check on, error propagation in      100
Difference schemes, check on, general      90 96 131
Difference schemes, check on, special      99 103 243
Differences      98
Differences, divided      83
Differences, partial divided      133
Differential curve      158
Differential equations, of first order      364
Differential equations, of higher order      394
Differential equations, simultaneous linear      397
Differentiation of tabulated functions      115
Differentiation, graphical      158
Differentiation, Numerical      113
Direct linear interpolation in tables and scales      24 27 29
Direction lines, pencil of      148 365
Direction ruler of von Sanden      338
Directrix      365
Discriminant curve      34
Disk planimeter      198
Distances between scale markings      9
Divided differences      76 83 86
Divided differences with repeated argument      114
Division, line of      292
Dobbeler      45
Duffing      377
Dyck, van      235
d’Ocagne      45 366
Elimination of one unknown, graphical      276
Elimination of one unknown, numerical      265
Emde      325 350
Emden      411
Empirical functions, analysis of      296
Encke      190 264
Equation machines      235 249 285
Equation system, reduced      266 275
Equation system, reduced, symmetric      271 289 309
Equidistant function values, tables with      137
Error, absolute      1 230 271
Error, absolute in difference schemes      100
Error, absolute of calculation      210
Error, absolute of data      1 29
Error, absolute, equations for      296 302 358 362
Error, absolute, estimation in integral formulas      166 175 180 183 189
Error, absolute, in iteration methods      393
Error, absolute, interpolation      24 110
Error, absolute, mean square      297 317 321 327 336 358 362
Error, absolute, percentage      1 230 273
Error, absolute, propagation in difference schemes      100
Error, absolute, relative      1 230
Error, absolute, rounding off      1 27 101
Error, absolute, total      29
Euler      162 265
Euler formula      162
Everett      113
False position, method of      205 207 209 219 253
Feldmann      285
Finely divided scales      9
Foppl      285
Forster      113
Fourier analysis      325
Fricke      244
Friesecke      333
Frivold      91
Fuhrmann      305
Functional scales      9 12 22 33 36 154 201 304
Fundamental theorem of algebra      246
Funk      295 377
Galle      416
Gauss      30 190 265 297
Gauss interpolation formula      105 138
Gauss logarithms      30 232 261 269
Gauss scheme for the solution of linear equations      267 269 277
Gergonne      161
Gerstenbrandt      161
Goldziher      227
Gonella integrating mechanism      198
Graeffe      258
Graeffe’s method      258
Gregory      102 121
Groeneveld      204 338 394
Gronwall      45
Gugler      159
Hamel      386
Happach      285
Harmonic analyzer      331
Harriott’s rule of signs      238
Hayashi      206 221 411
Heine      190
Helmert      1 285
Hermann      340
Hertwig      295
Herzog      285
Heun      377
HORNER      75 235
Horner’s method      75 92 98 228 239 240 257 262
Horner’s method, more general form of      76 92 98
Hurwitz      249
Improvement of approximation values      205 209 290 387 406
Inaccuracy of roots of equations      230 271
Inaccuracy of roots of equations in readings      11
Index lines      41
Inertia, moment of      157 202
Inertia, moment of product of      203
Instantaneous values from mean values      119
Integral curves      146
Integral curves of differential equations      364 389 395
Integral curves, higher order      155
Integrals, multiple      128 155
Integrating wheel      194
Integration base      146 151 390
Integration formulas for multiple integrals      128
Integration formulas for odd ordinates      163
Integration formulas for the doubie interval      163
Integration formulas for volume integrals      144
Integration formulas of Adams      128 383 401 402
Integration formulas of Bessel      119 122 143 390 409
Integration formulas of Euler      163
Integration formulas of MacLaurin      165
Integration formulas of Newton      121 383 402
Integration formulas of Stirling      119 124 144
Integration mechanism of Gonella      198
Integration of differential equations      364
Integration of differential equations, graphical      146
Integration of differential equations, numerical      120 397
Integration of differential equations, of empirical functions      189
Integration pole      148
Integration triangle      148
Integrators      148 153 411 413
Intermediate values      118
Interpolation error      24 110
Interpolation formulas, general      83 131
Interpolation formulas, of Bessel      65 107 139 162
Interpolation formulas, of Gauss      105 138
Interpolation formulas, of Lagrange      88 171 184
Interpolation formulas, of Laplace      109
Interpolation formulas, of Newton      102 103 116 137 243 317
Interpolation formulas, of Stirling      106 119 138 162
Interpolation formulas, special      96
Interpolation parabola      90 93 171
Interpolation with several variables      130
Interpolation, direct, in tables      24 27
Interpolation, inverse, in tables      25 28
Interpolation, linear      23 205
Interval widths in differentiation      120
Interval widths in graphical integration      150
Isoclines      364
Iteration      22 205 209 290 386 406
Jacob      235 285 413
jacobi      158 215 244 264
Jacobi’s formula      158 186 319
Jahnke      325
junction points      280 292
Kepler      125 144
Kepler’s barrel rule      125 144 175
King      113
Knorr      411 413
Koch      397
Konig      22 363 386
Krilloff      411
Kutta      377
Ladenburg      2
Lagrange      88 264 287
Lagrange interpolation formula      88 171 184
Laguerre      264
Lalanne      37
Lalanne tables      37
Lambert      145 159
Laplace      109
Laplace’s formula      109
Larkey      64
Least squares, method of      2 213 265 269 297 320 358
legendre      129 187
Legendre polynomials      187 243 319 323
Leonelli      30
Liiroth      32
Lill      79
Lill’s method      79 94 231 251
Limit of accuracy      22
Lindeloff      387
Lindow      113 120 130 386 394
Line of division      292
Linear equations      215 265
Linear equations, form      269
Linear equations, functions      300
Linear equations, planimeter      191 199
Load numbers      273
Lobatschevsky      258
Lobatto      190
Loewy      227
Logarithmic graphs      233
Logarithmic graphs, papers      12
Logarithmic graphs, scales      11 14 24
Logarithmic graphs, tables      24
Lorenz      285
Lubbock      166
Mac Laurin’s formulas      165 177 189
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