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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
Abel, Niels Henrik VI      199 203 213 227 347 463
Abramesco, Niculae      347
Abria, Jeremie Joseph Benoit      469
Abu al Hasan Ahmad ibn Ibrahim al-Uqlidisi      19
Abu-Kamil Shuja ibn Aslam ibn M. ibn Shuja      20 55
Abul Fazl      33
Achuthan, P.      469
Achyeser, Naoum Ilich      290 298 347
Adamov, Aleksei Aleksandrovich      347
Adams, John Couch      347 463
Ade, H.      469
Adrian, Paul      347
Adrian, Robert      172
Ahmes      52
Airey, John Robinson      347
Aitken's process      90
Aitken, Alexander Craig      90 311 347 454
Ajima, Chokuyen Naonabu      91 128
Akbar      33
Akiba Kobori      469
Akritas, Alkiviadis G.      469
al-Biruni, Abu Rayhan Muhammed be Ahmad      33
al-Hassar Abu Zakariya      20 54
al-Hayyam      6 19 20 124 483
al-Kalsadi      see "al-Qalasadi"
Al-Khowarizmi      8 22 65
al-Qalasadi      21 55
Alasia de Quesada, Cristoforo      469
Albarran, F.      469
Albarran, J.      347
Alexander the Great      22
Alexeef, N.      17 347
Alkarki      22
Alkhayami, Omar      see "al-Hayyam"
Alle, Moriz J.      347
Aller, Ramon M.      310 347
Almagest      13
Alsop, Samuel      258 348
Amanzio, Domenico      348
Amenemmes III      52
Amodeo, Frederico      310 348
Amoretti, Emile Michel      348
Amsler, M.      348
Amthor, August Carl Ernst      40 184 348
Analytic theory of continued fractions      228 284
Anaxagoras of Clazomenae      208
Anderson, George      134
Anderson, W.C.F.      481
Andoyer, Henri Marie      310 348
Andrade, Jules Frederic Charles      348
Andre Marie      348
Andre, Desire      310 348
Andrews, George Eyre      272 469
Angelesco, Amelian      300 348
Antanairesis      6
Anthoniszoom, Adriaan      8 71
Anthypharesis      4 6 10 56
Apastamba      18
Apophis      52
Appell, Paul Emile      249 257 268 292 293 295 335 339 349 469
Appolonius      314 319 320
Aquila Andreoli, Giulio      348
Arabic culture      22 33
Arago, Francois Dominique Jean      117 163 469
Aratus of Soli      314
Archibald, Raymond Clark      170 469
Archimedes      6 8 9 26 40 42 56 89 95 106 176 314 319 322 349 463
Archytas of Tarentum      16
Aristarchus of Samos      7 56 349
Aristotle      6 15
Arithmetical mean      10 16
Arndt, Friedrich Peter      179 256
Arnold, Wolfgang      490
Artin, Emil      463
Arwin, Axel      270
Aryabhata I      22 29 32 33 37 39 84 93
Ascending continued fractions      51
Ascoli, Giulio      350
Askey, Richard Allen      213 470
Associated continued fractions      192
Ataka, H.      350
Aubry, A.      264
Audisio, Fausta      470
Auric, Andre      223 264 267 270 292 295 296 310 339 344 345
Auroux, Sylvain      470
Axer, Alexander      269
Ayyangar, A.A. Krishnaswami      470
Baatard, Lucien      17
Babinet, M.      258
Babylonian mathematics      12
Bacas      257
Bach, Hermann      257
Bachet de Meziriac, Claude Gaspard      29 35 73 75 118 121 174
Bachmann, Paul Gustav Heinrich      155 156 160 266 270 350 351
Badon-Ghijben, Jacob      351
Bag, A.K.      470
Bahier, Eugene      351
Bailey, Wilfrid Norman      351
Baillaud, Benjamin Edouard      337 470
Baire classification      272
Baire, Rene      272 304 351
Baker      86
Bakhshali manuscript      17
Balagangadharan, K.      470
Ball, Walter William Rouse      175 351 470
Ballantine, John Percy      351
Balteau, J.      470
Baltzer, Richard Heinrich      256 258 351
Bang, Thoeger Sophus Vilhelm      470
Banning, Rudolf Friedrich      351
Baraniecki, Maryan Aleksander      351
Barbier, Emile Joseph      270 351
Barbour, James Murray      470
Barinaga, Jose      311 351 470
Barlaam (Bernardo of Seminara (reggio di Calabria))      22 351
Barlow, Peter      126 257 351
Barnard, Samuel      311 351
Barnes, C.W.      470
Baron Fourier, Jean Baptiste Joseph      163 198 205 213 286 376 464
Baron Reynaud, Andre Antoine Louis      257 432
Barone, Jack      483
Barroux, M.      470
Bartholomaei, F.      256 351
Bartl      257
Barto, Christiaan Bernardus      352
Basham, Arthur Llewellyn      470
Bassett, Alfred Barnard      352
Basu, K.      352
Bateman, Harry      266 270
Baudet, P.J.H.      352
Baudhayana      13 18
Bauer, Gustav Conrad      144 145 193 256
Becker, Johann Carl      352
Becker, Oskar Joachim      470
Beckmann, Petr      470
Behari, R.      470 471
Behnke, Heinrich Adolf      352
Bell, A.H.      40
Bellavitis, Giusto      65
Beltrami, Eugenio      353
Benitez Y. Parodi, Manuel      258 353
Bennett, Geoferey Thomas      353
Beretta, Luigi      353
Berger, Alexander Frederik      353
Bernoulli, Daniel      126 127 129 131 161 353 463
Bernoulli, Johann I      45 96 122 131 322 463
Bernoulli, Johann II      126 353 463
Bernoulli, Nicholas      100 463
Bernstein, Felix      270 274 285 310 353
Bernstein, Sergey Natanovich      310 353
Berry, M.V.      471
Bertelsen, N.P.      266 354
Bertrand, Joseph Louis Francois      206 258 354 471
Bertrand, Louis      125 354
Berwick, William Edward Hodgson      265 354
Bessel function      196 225 263
Bessel, Friedrich Wilhelm      196 205 225 354
Beth, Richard Alexander      310 354
Bettazzi, Rodolfo      310 354
Bezout, Etienne      127 354
Bhascara I      31
Bhascara II      32 34 42
Bianchi, Guiseppe      256 354
Bieberbach, Ludwig      310 354
Bienayme, Irenee Jules      204
Bierens de Hann, David      471
Biermann, August Leo Otto      257 354
Biermann, Kurt R.      471
Bignon, Jean-Paul      95
Bijganita      34
Binary quadratic form      174
Binet, Jacques Philippe Marie      149 172 354
Biot, Jean Baptiste      354 471
Birch, J.G.      175 355
Birger Hausted, M.      355
Bloch, Andre      355
Bluemer, Fritz      270 355
Blumberg, John Otto      355
Bobynin, Viktor Victorovic      16 471
Bocher, Maxime      165 471
Bochow, Karl      355
Boedewadt, Uwe Timm Jakob      355
Boehm, Karl      355
Boehmer, Paul Eugen      355
Boggio, Tommaso      256
Bohlmann, Georg      355
Boltzmann, Ludwig      281
Bombelli, Ercole      62
Bombelli, Rafael      51 61 75 99 160 355
Bonnet, Charles      170 355
Boole, George      193
Booth, James      355
Borchardt, Carl Wilhelm      156 157 165 208 244 246 296 463
Borel, Emile Felix Edouard Justin      149 159 160 234 249 250 253 259 270 273 274 278 281 283 298
Borelli, Giovanni Alfonso      15
Borello, Pellegrino      71
Borini, B.      356
Bortolotti, Ettore      12 14 64 67 184 257 357 471 472 356
Bosi, L.      357
Bossut, Charles      125 126 357 472
Bottema, Oene      357
Bouckaert, Louis P.      472
Bourbaki, Nicolas      472
Bourdon, Marie Pierre Louis      163 166 257 357
Bourget, Henry Charles Etienne      256 470
Bourget, Justin      337
Bourgoin, L.      357
Boussinesq, Joseph Valentin      339
Boutin, Auguste Emile      161 184 264 357
Boutroux, Pierre Leon      310 357
Bouveresse, J.      472
Bradshaw, J.W.      357
Brahmagupta      9 22 32 33 42
Braid, H.      256
Branch point      296
Brand, Eugene      357
Braun      171
Bredow, Frantz Christian      256 357
Bret, Jean Jacques      195 357
Brezinski, Claude      472
Briggs, Henry      308
Brioschi, Francesco      165 238 256 357
Briot, Charles Auguste Albert      258 357
Broager, Peer Dorph      357
Brocard, Pierre Rene Jean Baptiste Henri      172 256 357
Brocot, Achille      153 357
Broden, Torsten      270 358
Brodetsky, Selig      358
Broggi, Ugo      358
Broman, K.E.      257 358
Bromwich, Thomas John I'anson      310 358
Brooks, Edward      358 472
Brouncker, William      51 72 77 98 102 104 106 113 122 125 126 130 324
Bruckner, Henri      212 358
Brun, Viggo      270 358 472
Bruno, Giuseppe      358
Bryan, George Hartley      358
Budan de Boislaurent, Ferdinand Francois Desire      163 358
Buehler, Walter Kaufmann      472
Buermann, Heinrich      47 61
Buettner, Friedrich      310 358
Bugaiew, Nicolai Wassiljewitsch      257 358
Bullig, Guenter      358
Burchnall, Joseph Langley      358
Burckhardt, Johann Karl      126 128 358
Burgatti, Pietro      359
Burkhardt, Heinrich Friedrich Karl Ludwig      359
Burrington, Richard Stevens      311 359
Burstin, Celestyn      359
Buteo, Johannes      26 359
Butzer, Paul Leo      472 473
Buzengeiger, Karl Heribert Ignatius      359
Byskow      256
Cabannes, Henri      473
Caesar, Caius Julius      124
Cahen, Armand      269 270 359
Cahen, Eugene      50 359
Cailler, Charles Marc Elie      256 359
Cajori, Florian      172 473
Calegari, Adrasto      360
Callandreau, Octave Pierre Jean      257 360
Candeze, C.      165 360
Candioti, Marcial R.      360
Cantor, Georg Ferdinand Ludwig Philipp      167 360 463
Cantor, Moritz Benedikt      258 473
Capelli, Alfredo      310 360
Caratheodory, Constantin      222 473
Carleman, Torsten Tage Gillis      289 290 360 463
Carlier, J.M.      258 360
Carlson, Fritz      473
Carr, George Shoobridge      258 270 360
Carrara, Bellino      17 257 360
Carrone, Claudio      361
Casinelli, Luigi      361
Casorati, Felice      256 361
Caspary, Ferdinand      361
Cassina, Ugo      361
Castelnau, L.      473
Casterman, Lodovicus      361
Catalan, Eugene Charles      69 173 176 361 362
Cataldi, Pietro Antonio      44 47 51 58 65 362
Cattaneo, Paolo      362
Cattle problem      40
Cauchy, Augustin Louis      142 151 153 204 210 227 237 244 301 362 463
Cavailles, Jean      473 483
Caveing, Maurice      473
Cayley, Arthur      83 180 256 362 463 473
Cecioni, Francesco Alessandro Ansano      362
Ceretti, Umberto      362
Cerquero, Jose Sanchez      362
Cesaro, Ernesto      186 257 362
Ch'in Chiu-Shao      37
Chabauty, Claude      362
Chace, Arnold Buffum      473
Chandramohan, T.      469
Chang Yu-Chin      9
Channabasappa, M.N.      473
Chao Ko      266
Characteristic      150
Charves, Leon      174 363
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