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Brezinski C. — History of Continued Fractions and Padé Approximants
Brezinski C. — History of Continued Fractions and Padé Approximants

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Название: History of Continued Fractions and Padé Approximants

Автор: Brezinski C.

Аннотация:

The concept of continued fractions os one of the oldest in the history of mathematics. It can be traced back toEuclid's algorithm for the greatest common divisor or evenearlier. Continued fractions and Pade approximants played animportant role in the development of many branches ofmathematics, such as the spectral theory of operators, andin the solution of famous problems, such as the quadrature of the circle.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1991

Количество страниц: 551

Добавлена в каталог: 05.12.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Furtwaengler, Philipp Friedrich Pius      266 377
Fuss, Paul Heinrich      476
Gallucci, Generoso      377
Galois, Evariste      160 227 377 464
Galopin-Schaub, Charles      258
Gambioli, Dioniso      189 377
Gamma function      196
Ganguli, Surendramohan      476
Garcia, Juan Justo      257 377
Garnier, Jean Guillaume      257 377 378
Garver, Raymond Joseph      378
Gauss' Klammer      48
Gauss, Carl Friedrich      48 147 174 176 177 178 185 193 194 195 204 206 211 213 218 224 225 249 250 257 273 275 277 281 326 343 378 464 476
Gautschi, Walter      195 476
Gazis, Denos C.      477
Gegenbauer, Leopold      378 379
Generating function      119
Genty, Abbe Louis      77 477
Geometrical interpretation      146 326
Geometrical mean      10
Gerevich, Emil      379
Gergonne, Joseph Diaz      161 195 379
Geronimus, Jakov Lazerevich      379
Gerono, Camille Christophe      180 379
Gerz      256 379
Gessner, Theodor Georg      256 379
Giacardi, Livia      477
Gies, F.      477
Gies, J.      477
Gigli, Duilio      379
Gill, Charles      257 379
Gillings, R.J.      477
Gillispie, Charles C.      477
Girard, Albert      22 27 28 29 70
Giraud, Georges Julien Adolphe      379
Giudice, Francesco      270 380
Giulotto, Virgilio      380
Glaisher, James Whitbread Lee      144 188 257 270 380 477
Gloerfeld, A.      380
Gmeiner, Josef Anton      147 285 310 380 448
Gnomon process      16 21
Godeaux, Lucien August      477
Godfray, Hugh      380
Goepel, Adolf      174 179 380
Goldbach, Christian      40 100 102 103 106 131
Golden section      96 170
Goldstine, Herman Heine      477
Gonqalves, J. Vincente      311 380
Gordan, Paul Albert      209
Gormley, P.G.      380
Gourier, G.      214 381
Goursat, Edouard Jean Baptiste      292 381
Govinda      31
Gowing, Ronald      477
Grace, John Hilton      381
Graf von Wildberg, Johann Heinrich      196 381
Graf, J.H.      see "Graf von Wildberg"
Graindorge, Louis Arnold Joseph      258 374
Gram, Jorgen Pedersen      381
Grattan-Guinness, Ivor      477
Gray, Andrew      477
Gray, J.J.      477
Greatest common divisor      3 127 190
Grebe, Ernst Wilhelm      256 381
Grebel, Moritz Wilhelm      381
Grebenjuk, D.      381
Greenstreet, William John      256
Greenwood, T.      481
Gregory, James      82 84 116 322
Greminger, Hanni      381
Griess      209
Grimm, Re.      475
Grimshaw, M.E.      477
Groenwall, Hakon Thomas      381
Grommer, Jakob      288 290 291 381
Groschew, A.      284 381
Gruber, Johann Gottfried      373
Grueson, Johann Philipp      50 381
Grunert, Johan August      191 256 257 381
Guenther, Siegmund Adam Wilhelm      17 144 162 184 196 257 381 382 477
Guilmin, Adrien Charles Marie      382
Guimaraes, Rodolfo Ferreira Dias      206 477
Guitel, Genevieve      477
Gupta, R.C.      478
Gustafson, Torsten Valdemar      382
Gylden, Johan August Hugo      257 270 382
Gyoery, Sandor      257
Haag, Friedrich      257 383
Hackel, P.      256 383
Hadamard, Jacques Salomon      252 283 292 293
Hadwiger, Hugo      383
Haentzschel, Emil Esaias Rudolf      383
Hagen, Johann Georg      258 383
Hahn, Roger      478
Hall, A.      383
Hall, Henry Sinclair      47 383
Halley, Edmond      303
Halphen, Georges Henri      152 200 297 335 383 464
Halsted, George Bruce      478
Haluschka      257 383
Hambidge, Jay      170 383
Hamburg, R.R.      478
Hamburger, Hans Ludwig      289 290 310 383
Hamel, Georg Karl Wilhelm      188 291 310 383
Hammurabi      12
Hancock, Harris      266 384 478
Hanegraeff, Eg.      174 384
Hankel determinants      229
Hankel, Hermann      158 165 192 193 217 229 238 257 290 292 384
Hansen, Hans      384
Hansted, B.      384
Hardy, Godfrey Harold      153 270 311 384 385 464 478
Hargreaves, Richard      147 385
Harkin, D.      478
Harmonic mean      16
Hart      256
Hartley, H.      485
Hartman, Philip      478
Hasse, Helmut      385
Hasu, Shigeru      91 128
Hattendorff, Karl Friedrich Wilhelm      144 256 258 385
Hausdorff, Felix      274 289 291 385
Haviland, E.K.      290
Hayashi, Tsuruichi      385
Heath, Robert Samuel      211 385
Heath, Thomas Little      478
Heawood, Percy John      270 385
Hegenberg, F.A.      258 385
Heger, Richard      386
Heilermann, Johann Bernhard Hermann      15 165 192 193 385 386
Heine, Heinrich Eduard      49 145 154 156 192 194 211 213 230 250 258 288 386
Heinhold, J.      478
Hellinger, Ernst      288 289 291 386
Helly, Eduard      289
Henke, Richard      386
Henry, Charles      10 386
Hering, Arnold Gustav      197 387
Herlobig      478
Herman, Robert      477
Hermes, Johann Gustav      174 177 257 387
Hermite, Charles      79 111 154 155 156 157 158 160 168 172 174 186 203 207 209 211 213 214 217 220 228 231 240 243 244 246 249 254 261 265 266 295 300 334 335 337 377 387 388 464
Heron of Alexandria      8 16 17 18 19 24 69
Heron's method      16 18 19 69
Herr      256 388
Herschel, John Frederick William      47 61 257 388
Herz, Norbert      196 388
Hessenberg, Gerhard Wilhelm      388
Heuchamps, E.      388
Heun, Karl      195 216 388
Heymann, Woldemar Carl      257 388
Hicks, William Mitchinson      388
Hilb, Emil      388
Hilbert, David      186 195 209 230 265 286 288 289 290 291 388 464
Hildebrand, Francis Begnaud      478
Hill, Carl Johann Danielsson      256 388
Hille, Einar Carl      388 389 486
Hillebrecht, Hans      257 389
Hindenburg, Carl Friedrich      47 104 126 145 389
Hipparchus      13 314
Hippocratus of Chio      322
Hirsch, Meier      257 389
Hlawka, Edmund      478
Hobson, Ernest William      389 478
Hoefer, Ferdinand J.Ch.      78 478
Hoelting, C.E.      256 389
Hoene de Wronski, Josef Maria      175 236 389 464
Hoffbauer      256
Hoffmann, K.E.      182 257 389 390
Hoffmann, Ludwig      258 390
Hofmann, Joseph Ehrenfried      470 478
Hofreiter, Nikolaus      390
Holm, Alexander      263 390
Holzmann, Wilhelm      see "Xylander Guglielmus"
Horner, William George      390
Horrox (or Horrocks), Jeremiah      86 121
Horsburgh, Ellice Martin      478
Horus eye      53
Houel, Jules Guillaume      469
Humbert, Marie Georges      270 390 391 464
Humbert, Pierre      339 391
Hummel, Paul Mathew      391
Hurwitz, Adolf      146 149 150 160 184 194 209 257 267 270 296 297 391 465
Hurwitz, Julius      270 391
Husquin de Rheville      270 391
Huss, Joseph      391
Hutton, Charles      126 130 177 190 391 392
Huygens, Christiaan      8 46 82 86 93 94 106 111 118 121 125 126 145 147 153 311 324 392 465
Hypathia      29
Hypergeometric equation      306
Hypergeometric series      176 194 224 239
Hypsicles      22
I-hsing      37
Iamblichus      13
Ibn al-Banna      20 55
Ikeda      90
Iltutmish      33
Ince, Edward Lindsay      47 306 308 392
incommensurability      14
Indeterminate equation      28 92
Indian culture      22 33
Infeld, Leopold      478
Infinite descent      73
Infinite products      143
Ingraham, Mark Hogt      480
Intermediate fractions      24
Interpolating rational functions      301
Irrationality      10 97 106 111 149 207
Isely-Delisle, Frangois Jules Louis      257 392 478
Itard, Jean      472 474 478
Jablonski, Edouard Joseph Marie      258 392
Jackson, Frank Hilton      392
Jacob, Simon      57
Jacobi matrix      287
Jacobi — Perron algorithm      154 203 265
Jacobi, Carl Gustav Jacob      154 155 160 172 180 195 196 200 203 204 208 213 230 237 239 240 245 248 257 261 265 269 270 271 287 288 290 291 296 297 301 329 392 393 465 479
Jaenichen, Walther      393
Jager, H.      479
Jain, B.S.      471
Janet, Maurice Leopold Rene      393
Jariez, Julio      258 393
Jarnik, Vojtech      270 273 393
Jayadeva, Acarya      42
Jayawardene, S.A.      479
Jecklin, Lucius      393
Jeffery, George Barker      393
Jenne, Werner      393
Jensen, Johan Ludwig William Valdemar      310 393
Jimenez, Eulogio      258 393
Jnyana Raja      19
Joachimsthal, Ferdinand      165 393
Jolliffe, Arthur Ernest      258 393
Jones, William      134
Jones, William B.      479
Jordan, Camille Marie Ennemond      335 339 394
Jordan, Charles (Karoly)      394
Jordan, John Q.      310 394
Jouravsky, A.      394
Juan Llosa, R. San      394
Julia, Gaston Maurice      479
Jung, Vilem      394
Jurackowski      257
Kac, Mark      479
Kaemper, A.      257 258 394
Kahl, Emil Gustav      162 256 395
Kaiser, Ludwig      395
Kaluza, Theodor      395
Kamalakara      39
Kao, T.I.      487
Kapteyn, Willem      395
Katyayana      18
Kauffmann, Nicolas      see "Mercator Nicolas"
Kausler, Christian Friedrich      126 172 256 395
Kaye, George Rusby      9 479
Keesing, A.      395
Kegel, Johann Michael      57 395
Keller, Ott Heinrich      395
Kenko, Takebe Hijkojiro      see "Takebe"
Kennelly, Arthur Edwin      396
Kepler, Johannes      87
Kettenbrueche      50
Khatzyce, George      22
Khayyam, Omar      see "al-Hayyam"
Khintchine, Aleksandr Yakovlevich      269 270 274 278 282 283 396
Khovanskii, Alexey Nikolaevitch      479
Kiehl, Heinrich      396
Kinkelin, Hermann Georg David      256 396
Kischke, Richard      298 396
Kjellin, Carl Erik      256 396
Kleiber, Johann      396
Klein, Christian Felix      146 195 209 210 249 250 257 265 270 291 326 396 397 465
Kleyer, Adolph      257 397
Kline, Morris      479
Kloosterman, Hendrik Douwe      397
Kluegel, Georg Simon      126 397
Klug, Leopold      257 397
Kneller, Godfrey      83
Knight, Samuel Ratcliffe      47 383
Knopp, Konrad Hermann Theodor      273 310 397
Knorr, Wilbur R.      71 479
Koblitz, Ann Hibner      479
Koechlin, H.      397
Koehler, J.      257 397
Koenig, Friedrich Johann      256 397
Koenig, H.      310 434
Koenigs, Gabriel Xavier Paul      209 258 335 397 479
Koenigsberger, Leo      258 397
Koetteritzsch, Theodor Ernst      256 398
Koksma, Jurjen Ferdinand      270 398
Kollros, Louis      265 398 479
Kommerell, Karl      90 398
Konen, Heinrich Mathias      105 398
Koppe, Max Carl Wilhelm      146 257 398
Korkine, Aleksandr Nikolaevich      398
Koschmieder, Lothar Eduard      398
Kostandi, G.V.      270 398
Koulik, S.      398
Kowalewski, Sonia      209
Kraitchik, Maurice Borisovitch      398
Kramp, Christian      161 178 398
Krause, B.      399
1 2 3 4 5 6
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