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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
Ozanam, Jacques      54 122 423
Pacioli, Luca (Luca de Burgo)      65 423
Pade approximation      90 128 191 201 225 233 236 292
Pade table      235
Pade — Hermite approximation      246 300
Pade, Henri Eugene      90 102 124 128 155 191 192 195 201 214 225 231 233 235 236 239 244 249 286 291 292 298 299 301 308 339 344 423 424 425 466
Painleve, Paul      293 339
Painvin, Louis Felix      144
Pais, Abraham      483
Paley, Raymond Edward Alan Christopher      266 425
Palmstroem, Arnfinn      257
Panckoucke, Charles Joseph      125
Pappus      6 319
Paramesvara      31
Parke, N.G.      483
Pascal, Blaise      82
Pascal, Ernesto      49 310 425
Paschoud, Maurice      425
Pasternak, Leon      425
Peano, Giuseppe      49 310 425 466
Pearson, Karl      310 425
Pearson, Margaret Victoria Child      310 425
Peck, William Guy      258 369
Peet, Thomas Eric      483
Peirce, Benjamin      257 425
Pell's equation      39 72 88 104 112 118 122 177 263
Pell, John      39 88 104 106 113 177 178 183 261 264
Pellet, Auguste Eliacin Claude      425
Pepin, Theophile      425
Pepper, Paul Milton      266 425
Perez de Moya, Juan      22 26 426
Periodic continued fraction      48 99 105 127 161
Perkins, George Roberts      258 426
Perna, Alfredo      426
Perron, Oskar      34 47 155 162 203 223 261 264 265 285 291 310 426 427
Perry, John      310 427
Petersen, Julius Peter Christian      258 427
Petersson, Hans      427
Petr, Karel      427
Petruck, M.      480
Petter      256 427
Pezzi, Francesco      177 427
Philipps, Edgar Giraldus      427
Phyllotaxis      170
Pi ($\pi$)      8 10 70 77 89 111 121 134 151 207 208
Picard, Charles Emile      158 186 210 211 246 249 283 292 293 339 483
Picou, G.      256 428
Pieron, D.      258 431
Pilatte      428
Pillai, Sivasankaranarayana S.      365 428
Pincherle, Salvatore      155 189 223 246 247 257 270 310 428 429 466 483
Pipping, Nils Johan      269 429
Pisani, Felix      173 429
Pisot, Charles Jean      362 429 483
Pistor, T.L.      178 429
Plakhowo, N.      429
Plana, Giovanni Antonio Amedeo      173 429
Planude, Maxime      22 429
Plato      13 15 320
Pleskot, Anton      172 429
Plooij, E.B.      483
Poggendorff, Johann Christian      484
Poincare, Jules Henri      146 169 227 231 249 270 292 293 335 339 429 466 484
Poinsot, Louis      146 429
Poivert, Gilles      293 296
Polvani, Giovanni      59 430
Polya, Georg      281 310 430 466
Poole, Edgar Girard Croker      430
Porcelli, Onofrio      430
Portella, A.      480
Porter, Milton Brockett      430
Poselger, Friedrich Theodor      178 430
Posse, Constantin Aleksandrovitch      216 220 329 430
Potel, Francois Andre      489
Prasad, Ganesh      430
Preece, Cristophar Thomas      271 430
Prevost, M.      470
Priester, Hermann      430
Prime, F.Ve.      430
Pringsheim, Alfred      44 61 111 147 162 188 189 190 284 285 291 306 310 430 431 484
Privat-Deschanel, Augustin      258 375 431
probability      148 273
Proclus      13 16 29
Prtudaka      31
Pruvost, E.      431
Prym's function      196
Prym, Friedrich Emil      60 196 197
Ptaszycki, Ivan      269 431
Ptolemy, Claude      13
Puig Adam, Pedro      310 431
Pulverizer      30 32
Pund, Otto Friedrich Martin      258 431
Puzyna, Joseph      60 431
Pythagoras      41
Pythgoras' theorem      12
qd-algorithm      231
Quadratic forms      158
Quadratic irrationals      176
Quadratic surd      128
Quadrature methods      195 214 228
Quadrature of the circle      77
Quesnay, Francois      125
Quetelet, Lambert Adolphe Jacques      256 431 484
Quincke, Georg Herman      239
Rabinovic, Ju.G.      431
Rabuel, Claude      314
Radau, Jean Charles Rodolphe      431
Radford, Ernest Marshall      310 431
Rajagopal, C.T.      482
Ramanujan, Srinivasa Iyengar Ramanuja Iyengar      153 270 385 432 433 466
Ramus, Christian      144 257 432
Ray, Joseph      258 432
Rebiere, Alphonse Michel      484
Reciprocal differences      301
Recurrence relation      15 33 38 69 80 98 143 176 223
Rees, Abraham      258 432
Regiomontanus, (Johannes Mueller)      23 29
Reid, Constance      484
Reinaud, Joseph Toussaint      484
Reineck, Annie      432
Reinhardt, Karl      311 432
Relton, Frederick Ernest      432
Renan D'Elicagaray, Bernard      94 432
Republic      13
Resultant      237
Retali, Virginio      256
Rey Pastor, Julio      310 431 432 484
Rey, Abel      484
Rey, Alain      484
Rhabdas, Nicolaos Artabasdos      22 23
Rheticus, George Joachim      308
Rhind papyrus      13 52
Rhind, Alexander Henry      13 51 52
Riccardi, Pietro      484
Riccati's equation      97 99
Riccati, Jacopo Francesco (Count)      97 98 99 101 102 106 307
Ricci-Curbastro, Gregorio      263 466
Rice, Lepine Hall      432
Richard, Louis Paul Emile      161
Richardson's process      89
Richardson, Archibald Read      432
Richardson, Lewis Fry      90
Richaud, Casimir      180 432
Rider, Robin E.      484
Riemann, Bernhard      195 224 227 432 433 466
Riesz, Frederic (Frigyes)      222 466
Riesz, Marcel      289 433 466
Rigaud, Stephen J.      84 134 484
Risselman, William Charles      433
Ritt, Georges      258 433
Rivard, M.      111
Roberts, Clinton Avery      184 433
Roberts, Samuel      173 174 182 183 433
Robins, Benjamin      132
Robins, Sylvester      177 433
Robinson      258 433
Robson, Alan      311 371
Rodet, Leon      9 22 24 26 31 484 485
Rodrigues, Olinde      433
Rogers, Leohnard James      48 271 310 433
Rolle, Michel      92 434
Romanus, Adrianus (Adriaan von Roomen)      89
Roots of equations      116 131 142 160
Rose, Paul Lawrence      485
Rose, William Neville      310 434
Rosenthal, Gottfried Erich      50 434
Rossbach      257 434
Rothberger, F.      273 434
Rottok, H.L.      256 434
Rouche, Eugene      206 241 434 485
Rouse Ball, Walter William      see "Ball Walter
Rousseau, Jean Jacques      125
Routh, Edward John      165 434
Rudio, Ferdinand      485
Rudis      256
Ruffini, Paolo      117 434
Runge, Carl David Tolme      195 310 434
Russell, W.H.L.      434
Russo, Fransois      485
Rutishauser, Heinze      231
Rychlik, Karel      434
Ryde, Folke      434
Ryll-Nardzevski, Czeslaw      282
Saalschuetz, Louis      188 257 435
Sadaka, Rachid      485
Sadun, E.      258 435
Safford, Frederick Hollister      435
Saidan, A.S.      485
Saigey, Jacques Frederic      90 258 435
Salinas Y Angulo, Ignacio      258 353
Salle, E.      472
Sanchez Perez, Jose Augusto      485
Sanchez Vidal, D. Bernardino      435
Sang, Edward      435
Sanielevici, Simion      435 466
Sardanapalus IV      41
Sarton, Georges Alfred Leon      485
Sass, J.B.      256 435
Satunovskij, S.O.      435
Saunderson, Nicholas      36 93 118 435
Sauri, Abbe Jean      435
Sauveur, Joseph      94 436
Saverien, Alexandre      125 436
Saxer, Walter      485
Schaar, Mathias      256 436
Schafheitlin, Paul      436
Scheffler, August Christian Wilhelm Hermann      258 436
Scheibner, Wilhelm      145 176 436
Schellbach, Karl Heinrich      258 436
Scheller, H.      257 436
Schendel, Leopold      436
Schepel, Dirk      436
Scherk, Heinrich Ferdinand      256 436
Schimkowitsch, W.N.      436
Schimper      171
Schlaefli, Ludwig      436 437 466
Schlechter, Eugen      437
Schlegel, Stanislaus Ferdinand Victor      104 257 437
Schleupner, Christoph      57 437
Schloemilch, Oskar Xavier      146 181 196 225 256 258 437
Schmidt, Hermann      485
Schmidt, W.      181 257 437
Schnee, Walter Wilhelm Reinhold      60 437
Schneider, Theodor      437 485
Schoen, Johann      256 437
Schoenbaum, Emil      437
Scholz, Arnold      266 438
Schroeder, Johannes Carl August      264 438
Schrutka von Rechten-Stamm, Lothar Wolfgang Karl Heinrich Emil      60 438
Schubert, Friedrich Theodor      256 438
Schubert, Hermann Caesar Hannibal      310 438
Schuh, Frederik      438
Schur, Issai      269 272 306 439 466
Schwartz, Eduard      276
Schwarz, Hermann Amandus      225 249 466
Schweins, Franz Ferdinand      256 439
Schwenter, Daniel      70 439
Scott, Joseph Frederick      485
Scott, Walter T.      310 405 458 485
Scriba, C.J.      486
Scubert      191
Sedillot, Louis Pierre Eugene Amelie      486
Seeling, P.      173 178 180 181 256 439
Segal, Bentsion Izrailevich      439
Seilinger, Dmitry Nikolaevich      439
Seki Kowa      90
Selberg, Atle      271 440
Selenius, Clas-Olof      486
Selivanow, Dmitri Fedorovitch      440
Sen, S.N.      9 486
Sen-Gupta, P.C.      486
Sergescu, Pierre Paul      486
Serret, Joseph Alfred      17 46 117 150 163 173 174 258 281 440
Serret, Paul Joseph      257 440
Set theory      272
Sexagecimal system      12
Sforza, Giuseppe      440
Shabde, N.G.      370 440
Shanks, Daniel      486
Sharp, Joseph William Conrad      256
Sheppard, William Fleetwood      90
Sherman, Jacob      440 442
Shibata, Kwan      270 440 441
Shohat, James Alexander (Chokhatte Jacques)      291 311 441 442 486
Shukla, K.S.      486
Siddhanta Sundara      19
Side numbers      13
Siebeck, Herrmann Friedrich      256 442
Siegel, Carl Ludwig      263 442 467
Sierpinski, Waclaw      60 273 310 442 443 467
Sikorski      256 443
Simon, O.E.      256 443
Simonides, Jaroslav      443
Simons, Lao Genevra      486
Simplification of ratios      6 70 86
SIMPSON, THOMAS      36 443
Simson, Robert      96 443
Simultaneous approximation      154 208 265 300
Singh, Aradhesh Narayam      474
Sir Brewster, David      157
Sir Darwin, Charles Galton      369
Sir Greenhill, George Alfred      381
Sir Hamilton, William Rowan      154 256 383 384 464
Sir Ivory, James      392
Sir Newton, Isaac      10 16 69 82 134 163 301 303 304 322
Sir Niven, William Dawson      421
Sir Schuster, Arthur      439
Sir Scott, Robert Forsyth      310 439
Skolem, Thoralf Albert      443
Sleszynski, Ivan Volodimirovitch      188 257 443 444
Smail, Lloyd Leroy      444
smith      47
Smith, Charles      47 258 444
Smith, David Alexander      486
Smith, David Eugene      444 486
Smith, G.C.      486
Smith, Henry John Stephen      75 145 152 155 172 173 174 182 199 203 444 467 486
Smith, Otto Andreas      444
Smyth, William      444
Soeborg, Peter      128 444
1 2 3 4 5 6
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