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Ewald W.B. — From Kant to Hilbert: A source book in the foundations of mathematics. Volume 2
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Название: From Kant to Hilbert: A source book in the foundations of mathematics. Volume 2Автор: Ewald W.B. Аннотация: Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue importatn nineteenth century ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics - algebra, geometry, number theory, analysis, logic, and set theory - with narratives to show how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecher, and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2007Количество страниц: 709Добавлена в каталог: 22.12.2013Операции: Положить на полку |
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Keferstein, Hans 789 790 Kelvin, William Thomson 366 662 663 958 970 Kepler, Johannes 532 560 581 1158 Kerry, [?] 968 Keynes, John Neville 619 Kirchhoff, Gustav 710 897 963 1108 1109 1111 1165 Klein, Christian Felix 4 5 7 11 152 154 511 542 549 649 652 941 956—971 982 1012 1013 1088 1098 1187 1198 Kline, Morris 7 61 367 375 Kluegel, Georg Simon 155 156 161 227 228 255 Kneale, William 444 Koenig, Julius 924 1092 1106 1197 1060 1075 Koenigsberger, Leo 663 Koepcke, [?] 961 Kossak, Ernst 766 897 Kovalevski, Sonja 1013 Krause, Albrecht 717 718 719 720 Kreisel, Georg 1089 1116 1136 1166 1167 1169 1170 Kronecker, Leopold 5 8 11 727 739 754 762 763 787 790 797 838 897 941—955 956 966 1077 1081 1082 1084 1097 1112 1115 1116 1119 1120 1151 1156 1164 1167 Kummer, Ernst Eduard 562 569 570 754 762 764 782 783 838 872 941 942 1097 1101 1164 Kuratowski, Kazimierz 609 L'Huilier, Simon 225 Lacroix, Silvestre Franyois 94 228 232 315 428 432 433 434 443 Lagrange, Joseph-Louis 155 171 225 226 227 228 233 289 296 316 326 364 373 429 434 443 503 515 516 518 561 568 654 764 1108 1109 1164 1246 1247 Lambert, Johann Heinrich 5 6 8 12 61 94 135 152—167 170 171 187 193 194 216 296 297 301 307 314 316 331 349 446 649 753 1089 Land, J.P. 685—688 717 720 723—724 Landau, Edmund 754 763 Latham, Robert Gordon 491 Le Sage, George-Louis 537 Lear, Edward 436 Lebesgue, Henri 9 1077 1080—1083 1086 1167 1199 1265 Legendre, Adrien-Marie 154 235 296 297 429 516 561 565 566 569 652 1119 1164 Leibniz, Gottfried Wilhelm 1 5 11 12 16 17 18 39 41 42 61 64 70 94 108 111—112 124 125 133 156 171 191 225 307 315 316 327 427 429 431 432 433 434 435 446 447 448 449 518 544 584 595 609 890 891 892 893 894 918 941 966 974 1023 1052 1160 1266 Leonardo da Vinci 713 Leowenheim, Leopold 4 609 Leucippus 903 Leverrier, Urbain Jean Joseph 948 Levi-Civita, Tullio 1198 1187 Lewis, Clarence Irving 574 608 Lie, Marius Sophus 961 970 972 982 1007 1008 1009 1010 1013 Liouville, Joseph 564 841 844 848 Lipschitz, Rudolph 649 677 702 766 779 866 898 952 Littlewood, J.E. 1234 1257 1262 Livy 106 Lloyd, Humphrey 527 Lobatchevsky, Nikolai Ivanovich 153 157 158 297 298 303 306 531 547 549 649 672 689 701 982 996 1010 1011 1103 1187 1198 Locke, John 12 16 17 19 23—25 28 57 116 123 148 156 194 196 693 890 Lotze, Rudolf Hermann 704 Luce, Arthur Aston 14 16 38 Lucretius 903 Ludlam, William 317 Lueroth, Jacob 867 Lusin, Nikolai 880 MacCullagh, James 408 Maclaurin, Colin 11 13 58 61 93—122 129 168 169 170 225 315 316 317 318 492 561 838 Maillard, [?] 572 Mancosu, Paolo 10 Manning, Thomas 317 Mannoury, Gerrit 1171 Martin, Donald 880 Marx, Elanor 445 Mascheroni, Lorenzo 1102 Maseres, Francis 316 317 318 322 336 363 449 Maurolycus, Francesco 560 Maxwell, James Clerk 320 366 584 643 646 662 663 673 1108 1112 1158 Melanchthon 460 Mendeleev, Dimitri Ivanovich 577 Meray, Charles 1012 Mercator, Nicholas 170 173 553 561 Mersenne, Marin 560 1097 Metternich, Matthias 228 299 300 Michelsen, Johann Andreas 182 187 188 197 Michelson, Albert Abraham 1160 1161 Mill, John Stuart 362 452 536 544 545 576 639 727 1026 Minkowski, Hermann 946 957 970 1087 1088 1101 1164 Minnigerode, B. 843 Mirimanoff, Dimitry 1209 1217 1218 Mitchell, Oscar Howard 608 611 622 623 624 Mittag-Leffler, Goesta 887 943 Moebius, Augustus Ferdinand 423 Moigno, Francois Napoleon Marie 432 434 1236 1235 Molyneux, Samuel 16 19 20 54 Molyneux, William 16 19 Monge, Gaspard 555 561 562 Monna, A.F. 1078 Montague, Richard 1209 1211 Mooij, Jan 972 Moore, Gregory H. 880 925 923 1075 1078 1218 1208 Morris, Charles W. 194 Moseley, Henry Gwyn Jeffreys 1158 Motte, Andrew 59 Mourey, C.-V. 400 432 433 Mueller, Aloys 1122 Mueller, Carl Reinhard 300 Mueller, J.H.T. 897 Mueller, Johannes (Regiomontanus) 560 693 694 Napier, John 372 385 560 Napoleon 691 Navier, Claude L.M.H. 434 Neumann, Carl Gottfried 969 Newcomb, Simon 1004 Newman, M.H.A. 1116 1166 1167 1169 Newton, Isaac 1 5 11 12 13 15 16 18 19 37 41 43 44 53 58—92 93 94 95 96 97 106 115 123 124 125 127 129 132 148 168 170 225 315 316 317 318 333 363 372 376 425 426 427 428 430 431 434 435 443 449 460 517 518 521 532 537 556 560 561 562 660 661 726 750 838 941 959 966 1007 1158 1160 1162 1163 1167 Nicholas of Cusa 916 Nieuwentijdt, Bernard 17 18 61 64 125 Noether, Emmy 650 754 762 763 788 836 843 847 870 871 877 1264 Noether, Max 564 650 Occam, William of 335 578 584 Ohm, Martin 283 385 386 387 422 Osgood, William Fogg 1238 Owen, Richard 513 Paciolus, Lucas 559 Padoa, Alessandro 1036 Pappus 637 Parmenides 918 Parsons, Charles 790 1022 1197 Pascal, Blaise 560 562 1097 Pasch, Moritz 5 9 158 766 794 961 962 1089 Pavlov, Ivan Petrovich 662 Peacock, George 4 94 315 316 318 319 320 321 322 323 325 330 331 332 336 340 345 348 349 363 364 368 376 386 387 399 400 418 422 432 442 443 446 449 450 572 Peano, Giuseppe 2 5 9 11 168 442 448 609 787 789 956 962 967 1023 1028 1029 1030 1036 1041 1042 1053 1054 1059 1089 1106 1168 1174 1187 1199 1214 1275 Peirce, Benjamin 4 362 364 376 542 571 576 583 584 594—597 634 638 958 Peirce, Charles Sanders 2 4 5 6 11 21 132 168 171 194 249 250 333 334 335 362 363 448 449 510 542 571 572 574—648 662 121 753 787 789 838 958 Peirce, James Mills 576 Peripatetics 48—49 Pfaff, Johann Friedrich 654 Philo of Alexandria 639 Pieri, Mario 1053 1054 1055 1057 1066 Planck, Max 662 1110 1158 Platner, Ernst 181 215 Plato 1 44 57 153 293 455 518 537 543 558 639 916 918 1266 Playfair, John 547 Pluecker, Julius 563 957 Plutarch 105 106 Poincare, Jules Henri 3 5 8 9 11 152 511 838 897 924 941 945 962 970 972—1074 1075 1091 1097 1106 1112 1116 1120 1151 1156 1164 1166 1167 1169 1188 1199 1208 1265 1266 Poisson, Simeon-Denis 434 443 968 Polya, George 1234 Polybius 106 Poncelet, Jean Victor 1016 Popper, Karl 38 574 575 Post, Emil Leon 608 Price, Bartholomew 436 Pringsheim, Alfred 1235 1239 Proclus Diadochus 153 159 164 177 638 Ptolemy 153 317 559 561 Puerbach, Georg 560 Puiseux, Victor 520 564 Putnam, Hilary 6 1170 Pythagoras 1 210 272 445 518 916 1163 1266 Queen's College, Oxford 61 Ramanujan, Srinivasa 1234 Ramsey, Frank Plumpton 1248 1249 1250 1251 1252 1260 1263 Ramus, Peter 177 195 491 Rang, B. 1208 Raphson, Joseph 19 Reed, David 8 10 780 Regiomontanus see "Mueller Johannes" Reichenbach, Hans 575 982 Reid, Constance 1089 Reilly, Sydney 445 Reinhold, Erasmus 560 Riccardi, Pietro 153 Richard, Jules 924 1021 1060 1061 1063 1071 1072 1073 1106 Riemann, Georg Friedrich Bernhard 3 4 5 6 7 9 10 11 133 152 154 157 158 168 298 365 366 515 520 523 531 539 542 544 545 547 549 553 563 564 568 644 649—661 663 664 673 674 675 676 677 699 701 718 723 753 754 838 839 859 867 870 897 944 956 963 969 982 996 1012 1013 1084 1108 1110 1113 1120 1149 1160 1162 1187 1198 1272 Riesz, Friedrich 1234 Roeber, Friedrich 437 438 Roentgen, Wilhelm Konrad 1158 Roesling, Christian Lebrecht 228 Rogosinski, Werner W. 1234 Rohn, Karl 1115 Rolle, Michael 125 Rosenhain, Georg 567 Rumford, Benjamin Thompson 534 Russ, Steven 8 10 172 176 227 Russell, Bertrand Arthur William 2 3 11 168 169 321 442 444 448 574 575 581 609 754 789 879 923 924 972 1021 1023 1031 1032 1033 1034 1035 1037 1038 1039 1040 1042 1043 1044 1045 1048 1051 1052 1053 1054 1060 1061 1062 1063 1064 1067 1071 1073 1075 1106 1113 1121 1156 1168 1174 1187 1199 1208 1212 1243 1247 1248 1249 1250 1253 1254 1255 1256 1259 1260 1261 1262 Rutherford, Ernest 1158 Saccheri, Gerolamo 154 155 156 301 Salisbury, John of 578 Scaliger, Joseph 106 Schelling, Friedrich Wilhelm Joseph 293 662 941 Schering, Ernst 949 Schiller, Johann Christoph Friedrich 579 690 708 948 949 Schleiermacher, Friedrich Ernst Daniel 690 Schlick, Moritz 664 690 694 Schluessel, Christoph 154 Schmidt, Arnold 1088 Schoenfinkel, Moses 943 1087 1089 Schoenflies, Arthur M. 9 942 943 1072 1075 1166 1169 1174 Scholz, Arnold 1233 Scholz, Erhard 651 Schopenhauer, Arthur 686 703 725 1186 1191 Schroeder, Ernst 2 4 335 363 448 608 609 619 620 729 788 790 795 938 Schroedinger, Erwin 364 Schubert, Hermann 572 926 955 Schultz, Johann 135 182 197 174 Schumacher, H.C. 293 297 298 302 303 531 649 Schwab, J.C. 299 300 Schwarz, Hermann Amandus 806 969 Schweickart, Ferdinand Karl 155 301 303 Scott, Joseph F. 95 Scotus, John Duns 578 584 Scriba, Christoph 155 Seidel, Philipp L. 1235 1238 1241 Selle, [Christian Gottlieb?] 212 Seneca 176 457 Servois, Francois-Joseph 314 315 322 326 327 349 399 419 443 Shaw, George Bernard 445 Sheffer, Henry 598 Siculus, Diodorus 106 Sieg, Wilfried 1089 1136 Sierpinski, Waclaw 609 880 1210 Sigwart, Christoph 917 SIMPSON, THOMAS 426 428 Skolem, Thoralf 4 609 1217 1220 Smith, Henry John Stanley 566 Socrates 543 645 Sophists 159 160 Spanheim, Ezekiel 106 Spencer, Herbert 527 533 535 536 538 Spinoza, Baruch 249 256 539 890 891 892 918 941 Spivak, Michael 651 Spottiswoode, [?] 514 516 St. Evremond, [?] 112—113 Staeckel, Paul 157 158 298 Stammler, Gerhard 13 Stegemann, Max 965 Stein, Howard 754 766 Stewart, Dugald 639 Stokes, George Gabriel 320 513 963 1235—1242 Stolz, Otto 171 794 Stott, Leonard 445 Struik, Dirk J. 59 123 Sturm, Charles 516 Suslin, Mikhail 880 Sylvester, James Joseph 4 332 362 363 364 366 443 510—522 542 556 582 958 962 Synge, John L. 364 Tait, Peter Guthrie 635 Tannery, Jules 794 1084 1085 1078 Tarski, Alfred 3 597 1209 1210 1211 1218 1223 Tartaglia, Nicolo 559 Taurinus, Franz Adolf 301 Taylor, Brook 316 325 328 373 433 437 Taylor, Geoffrey 445 Tchebycheff, Pafnuti 964 Thales 173 Thomae, Karl 867 869 Thomson, William 635 Tobias, Wilhelm 666 674 Todhunter, Isaac 428 Tolstoy, Leo 1164 Tomlinson, [?] 536 Torricelli, Evangelista 39—40 53 114 Trendelenburg, Friedrich 941 Troelastra, Anne Sjerp 1169 1170 1197 Turing, Alan Mathison 3 Turnbull, Herbert 95 Tyndall, John 512 513 514 Valentiner, [Hermann?] 564 van Dalen, Dirk 1167 van der Waerden, Bartel Leendert 449 1088 1264 van Heijenoort, Jean 1 6 8 608 789 790 923 924 926 1075 1087 1089 1091 1116 1136 1148 1168 1169 1170 1197 Van Orman Quine, Willard 349 609 789 924 van Rootselaar, Bob 1218 van Stigt, Walter 10 1167 1169 1170 1174 1175 Varignon, Pierre 61 Vaught, Robert Lawson 1211 Veblen, Oswald 170 Veblen, Thorstein 582 Venn, John 608 611 614 Veronese, Giuseppe 9 555 1023 1187 Vieta, Francois 317 352 356 559 560 Vilant, Nicholas 317 Vincentio, Gregory a Sto. 114 Viviani, Vincenzo 1097 von Beethoven, Ludwig 690 von Esenbeck, Nees 293 von Goethe, Johann Wolfgang 514 690 710 712 713 von Haller, Albrecht 916 von Helmholtz, Hermann 3 4 5 7 11 94 152 154 298 523 531 535 584 649 662—752 790 859 1009 1102 1162 1163 1010 von Holland, Georg Johann 157 von Humboldt, Alexander 948 949 von Humboldt, Wilhelm 690 von Lindemann, Ferdinand 1087 von Netto, Eugen E. 867 870 von Neumann, John 838 1089 1092 1135 1154 1209 1210 1213 1214 1217 1218 1227 1232 1254 1263 von Savigny, Friedrich Karl 690 von Staudt, Karl Georg Christian 637 958 1005 1007 von Waltershausen, W. Sartorius 298 516 649 949 Vorlaender, Karl 135 Waismann, Friedrich 1250 Wallace, Alfred Russel 535 Wallace, [?] 435 Wallis, John 17 70 114 154 155 307 401 419 559 Walton, John 62 435 Wang, Hao 754 790 1217 Warda, Arthur 135 Warnock, Geoffrey 21 Warren, John 323 330 365 375 399 400 405 407 572 Weber, Heinrich 650 651 754 766 806 834 897 942 Weber, Wilhelm 650 Weierstrass, Karl 4 5 10 11 168 170 171 226 564 565 568 727 766 793 838 840 847 849 887 897 898 899 929 941 942 944 956 958 964 966 1013 1091 1098 1099 1113 1169 1235 1238 1247
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