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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
Sokhotski, Jan V.      444
Sommerfeldt, Ernst      257 444 445
Sonine, Nikolaj Jakovlevic      445
Sonnet, Hippolyte Michel Louis Joseph      258 445
Soschino, C.      258 435
Speckmann, Gerhard      445
Spectral theory      230 286
Speiser, Andreas      445
Spencer, Vivian Eberle      445
Spiess, Otto      445
Spitzer, Simon      256 445
Spoglianti, Maria      486
Spottiswoode, William      144 445
Square root      9 12 62 99 181 185
Sratemeyer, Gottfried      445
Srinivasiengar, C.N.      486
Sripati      31
Stahl, Konrad Dietrich Martin      256 445
Steen, Adolf      257 445
Stefanelli, Riccardo      445
Steggall, John Edward Aloysius      446
Stein, A.      446
Steinhaus, Hugo      486
Steinmetz, Charles Proteus      50 310 446
Steinthal, A.      446
Stekloff, Wladimir Andrejewitch      257 446
Stephen, L.      487
Stern, Maritz Abraham      48 143 145 147 174 178 180 183 184 187 189 192 193 225 239 256 258 285 446
Stevin, Simon      27 29 446 467
Stewart, B.M.      487
Stickelberger, Ludwig      297 376
Stieltjes, Thomas Jan      79 100 192 193 206 219 223 224 225 227 234 239 246 268 285 286 287 288 290 291 295 303 310 329 335 337 446 447 467
Stifel, Michel (Stifelius)      58 447
STIRLING, JAMES      130 336 447
Stoermer, Fredrik Carl Muelertz      153 269 447
Stolz, Otto      147 162 187 188 258 284 310 447 448
Stone, Edmund      47 448
Stone, Marshall Harvey      291 448
Stouvenel, V.      152 448
Str.      448
Stranden, G.      448
Strang, J.A.      448
Strehlke, Friedrich      256 448
Streit, Friedrich Wilhelm      448
Stridsberg, Erik      448
Struik, Dirk Jan      487
Strutt, Maximilien Julius Otto      448
Struve, Jacob      256 448
Stuart, George Henry      448
Studnicka, Franz Joseph      184 449
Sturm sequence      165
Sturm, Jacques Charles Francois      164 165 181 205 238 256 293 449
Sulvasutras      18
Sun Tzu      37
Sundman, Karl Frithiof      449
Surd      128
Suryadasa      19
Suzanne, P.H.      257 449
Svesnikov, P.      449
Svetlov, A.      449
Swetz, F.J.      487
Sylvester, James Joseph      50 60 82 104 144 238 293 305 362 449 450 467
Syzygetic relations      238
Szabo, Arpad      256 450 487
Szasz, Otto      270 285 291 353 388 450 451 467
Szegoe, Gabor      311 451 467 487
Szekeres, George      266 451
Szenik      257 451
Ta-yen      37
Tait, Peter Guthrie      170
Takebe, Kenko      91 128
Talkhis      20
Tallo Y Bauza, Juan      451
Tamarkin, Jacob David      486
Tannery, Jules      196 451
Tannery, Paul      7 8 10 15 16 467 487
Tano, Florestano      184 451
Tartler, Alexander      452
Tatarinov, I.V.      452
Taton, Rene      487 488
Taube, Gotthold      452
Tauber, Alfred      310 452
Taylor, Angus Ellis      488
Taylor, Brook      292 298 299 303 345
Tedenat, Pierre      452
Teixeira, Francisco Gomes      206 257 452
Tellkampf, Johann Dietrich Adolf      257 452
Tenner, Gottwalt Wilhelm      105 178 452
Terquem, Olry      258 452 488
Thaarup, Frederik      452
Theaetetus      6
Theon of Alexandria      13 29
Theon of Smyrna      13 16 40 41 452
Theon's method      13
Thiele's expansion formula      302
Thiele, Thorvald Nicolai      162 301 304 452
Thiolier      256 453
Thomae, Johannes Karl      453
Thomas, Ivor      488
Thome, Ludwig Wilhelm      188 194 225 453
Thompson, D'Arcy Wentworth      488
Thron, Wolfgang Joseph      479
Thue, Axel      269 453 467
Tietze, Heinrich Franz Friedrich      270 298 310 453 488
Tijdeman, R.      488
Tilling, L.      477
Tits, L.      453
Tobisch, Johann Karl      257 453
Tocchi, Luigi Stefano Antonio      453
Todhunter, Isaac      258 453
Toeplitz, Otto      230 287 288 386 454
Torrance, Charles Chapman      311 359
Transcendence of $\pi$      208
Transcendence of e      207
Transcendental numbers      159 262
Transfinite numbers      168
Trembley, Jean      100 257 454
Trendelenburg, Adolf      239
Trjitzinsky, Waldemar Joseph      454
Tropfke, Johannes      454 488
Trudi, Nicola      217 454
Tsu Ch'ung-Chih      8 90
Tucker, Robert      256
Tuppy, J.      454
Turgot, Anne Robert Jacques      125
Turkevich, John      488
Turkevich, Ludmilla B.      488
Turnbull, Herbert Westren      154 301 310 454 488
Tweedie, Charles      488
Tzavoukhe, Theodor      23
Udny Yule, G.      488
Ulam, Stanislaw Marcin      479
Ullrich Egon Leopold Maria      311 406
Unger, Ephraim Salomon      257 454
Unitary fractions      54 59
Ursell, Harold Douglas      266 425
Uspensky, James Victor      206 454
Vacca, Giovanni Enrico Eugenio      454
Vaeisaelae, Kalle      270 455
Vahlen, Karl Theodor      149 153 159 270 310 455
Valentiner, E.C.      455
Valiron, Georges      270 455 488
Vallejo, Jose Mariano      257 258 455
Van Aubel, H.      183
Van Ceulen, Ludolph      81 89 362
van de Vooren, Willem Louis      455
van der Poorten, A.      488
van der Waerden, Bartel Leendert      42 488 see B.L."
van Schooten, Frans      70
van Vleck, Edward Burr      163 188 225 235 250 253 257 284 285 291 306 455
Vaney, Felix      425
Vassilief, Alexander Vassiliewitsch      203 488
Veblen, Oswald      209
Velimin, Volodimir Petrovich      455
Veltmann, Wilhelm      257 456
Venkatesan, K.      469
Venkov, Boris Alexeyevich      488
Verbeeck, Maria      310 456
Verblunsky      290
Verebriusov, Aleksandr Stepanovic      256 456
Vernet, J.      488
Verriest, G.      488
Viete, Francois      22 71 72 314 320 467
Vijayaraghavan, Tirukkannapuram      265 456
Villafane Y Vinals, Jose Maria      258 456
Vincent, Alexandre Joseph Hidulphe      163 456
Vinci, Leonardo of      8
Viola, Tullio      489
Virey, Julien Joseph      489
Viskovatoff, Basilius      190 456
Vitali, Giuseppe      230 456
Vogel, Kurt Otto Hermann      489
Volk, Otto      456
Volpicelli, Paolo      172 456
Voltaire, Francois Marie Arouet dit      125
Volwahsen, Andreas      489
von Blumenthal, Ludwig Otto      291 355
von Ettingshausen, Johannes Andreas Jakob      257 373
von Forstner, Alexander Freiherr      257 375
von Goethe, Johann Wolfgang      170
von Koch, Niels Fabian Helge      189 233 285 397
von Lommel, Eugen Cornelius Joseph      196 407
von Mangoldt, Hans Karl Friedrich      310 397 410
von Naegelsbach, Hans      256 419
von Neumann, John      230
von Pidoll, Max Freiherr      310 428
von Seidel, Philipp Ludwig      187 189 192 193 196 284 439
von Soldner, Johann Georg      100 444
von Thielmann, M.      269 452
von Wand, Theodor      256 458
von Weber, Eduard      459
Voronoy, Georgy Fedoseevich      257 457
Vorsselman de Herr, Pieter Otto Coenrad      256 457
Vucinich, Alexander      489
Wafelaar, Petrus Franciscus      256 457
Waldschmidt, Michel      489
Walfisz, Arnold      457
Wall, Hubert Stanley      228 291 405 457 458 489
Wallis, John      33 37 45 51 72 77 83 84 89 94 98 101 102 104 112 113 121 122 126 144 147 458 467
Walsh, Joseph Leonard      458 486
Walton, William      256 458
Wang, L.      489
Wantzel, Pierre Laurent      112 458
Waring, Edward      126 324 458
Warusfel, Andre      489
Watson, George Neville      271 272 458 459
Webb, Robert Rumsey      459
Weber, Heinrich Martin      310 326 459
Weber, K.      459
Weber, Werner      459
Wedderburn, Joseph Henry Maclagan      154 310 459
Wei Chih      9
Weierstrass, Karl Theodor Wilhelm      209 239 459 467
Weil, Andre      106 489
Weis, Friedrich Adam Rudolf      459
Weiss, Adam      256 459
Weissenborn, Hermann      459
Weld, Laenas Gifford      61 258 459
Wells, Webster      258 460
Wellstein, Josef      310 326 459
Wenceslaus, Martin      57 460
Wendlandt, Heinrich      165 460
Wentworth, George Albert      258 460
Werebrusow, A.      see "Verebriusoy A.S."
Wertheim, Gustav      257 460
West, Emile      236 489
Weve, Louis      311 460
Weyl, Hermann Klaus Hugo      170 489
Weyr, Eduard      257 460
Weyr, Emil      460
Wezel, J. Ludwig      178 185 460
Whipple, Francis John Welsh      460
Whish, Charles M.      84 489
Whiteside, Derek Thomas      489
Whitford, Edward Everett      40 73 264 460 489
Whitrow, M.      490
Whittaker, Edmund Taylor      305 308 310 460 490
Whittaker, J.M.      490
Whitworth, William Allen      256 263 266 460
Wieleitner, H.      310 460
Wijthoff, Willem Abraham      368
Wilczynski, Stanislas      460
Willers, Friedrich Adolf      434
Willgrod, Heinrich Christoph      257 460
Williams, John D.      258 461
Wilson, Rowland      298 461
Wilton, John Raymond      461
Wincler, Anton      257 461
Winter, E.      491
Wintner, Aurel Friedrich      310 461
Woelffing, Ernst      257 310 490
Woepcke, Franz      19 21 490
Wolstenholme, Joseph      258 461
Wood, James      257 461
Woodward, Robert Simpson      413
Worms de Romilly      461
Woronoi      see "Voronoy"
Worpitzky, Julius Daniel Theodor      188 258 285 461
Wright, Chauncey      461
Wright, Edward Maitland      311 385
Wrinch, Dorothy Maud      461
Wussing, Hans      490
Wuytack, Luc      490
Wynn, Peter      490 491
Xylander, Guglielmus (Wilhelm Holzmann)      29
Young, John Radford      258 461
Young, John Wesley A.      462
Young, Laurence Chisholm      491
Young, William Henry      304 462
Youschkevitch, Adolf-Andrej Pavlovic      491
Zampieri, Joseph      257 462
Zdimal, Al.      462
Zeisel, Marie      266 462
Zeller, Christian Julius Johannes      257 462
Zeros of equations      116 131 142 160
Zeuthen, Hieronymus Georg      491
Zimmermann, Wladimir      462
Zinner, Ferdinand      462
Zolotareff, Egor Ivanovich      200 398 462
Zullig, J.      270 310 462
Zurl, Erna      462
Zygmund, Antoni      462
1 2 3 4 5 6
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