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Kline M. — Mathematical thought from ancient to modern times |
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Предметный указатель |
Saccheri, Gerolamo 866 867 869 879 880
Salmon, George 927—929
Sarasa, Alfons A. 354
Sarrus, Pierre Fredric 584
Sauveur, Joseph 478
Schauder, Jules P. 1178
Scheeffer, Ludwig 1020
Scherk, Heinrich F. 796
Schmidt, Erhard 1070 1082—1084
Schnee, Walter 1113
Schoenflies, Arthur M. 1018
Scholastics 207
Schopenhauer, Arthur 1005
Schrodinger, Erwin 1092
Schur, Friedrich 899 1009
Schur, Issai 1144—1145
Schwarz Christoffel mapping 666 667 687
Schwarz, Herman Amandus 666 704 706 727 838 939 1020
Schwarz’s inequality 1083 1093
Schweikart, Ferdinand Karl 868 869 879
Section 232 287
Seeber, Ludwig August 829
Seidel, Philipp L. 965
Seleucid period 4 102
Semicubical parabola 98 550
Serret, Joseph Alfred 562 766
Serret-Frenet formulas 561 562
Servois, Francois-Joseph 774 777 836 841
Set 970 994—1003 1159 see abstract"
Set, closed 995—1078 1160
Set, derived 970 1078
Set, enumerable 995 997
Set, first species 970
Set, infinite 992—1003
Set, limit point of 970
Set, open 995 1160
Set, perfect 995
Set, power of 995
Set, well-ordered 1001
Shape of the earth 469 470 522
Sieve of Eratosthenes 138
Simart, Georges 945
simplex 1171
Simplicius 26 35 130
SIMPSON, THOMAS 427
Singular points of curves 549 552 935 941 42
Singular points of curves, conjugate point 550
Singular points of curves, cusp 549 550
Singular points of curves, double point 549
Singular points of curves, multiple point 549
Singular points of curves, node 549
Singularities of differential equations 721
Slide rule 258
Smale, Stephen 1176
Smith, Henry J.S. 803 960 1005
Snell, Willebrorci 285
Sochozki, Julian W. 668
Socrates 43
Sophists 27 37 42
Souiue, Nickolai J. 714
Sound 482 483 520 522 691
Space abstract 1078—1080 1159—1163 see "Hilbert "Set"
Space abstract, compact 1078 1160
Space abstract, complete 1161
Space abstract, connected 1160
Space abstract, extremal 1078
Space abstract, function 1078 1080 1082 1084 1178
Space abstract, interior point of 1078
Space abstract, limit point of 1160
Space abstract, metric 1079 1160 1161
Space abstract, metrizable 1161
Space abstract, neighborhood 1079 1160 1161
Space abstract, normal 1087—1089
Space abstract, perfect 1078
Space abstract, separable 1160
Space curves 235 557—562 566 941
Special functions 422—426 709 715
Specialization 1024
Spherical circle 845 854
Spherical functions 529 530 711 712
Spherical harmonics see "Spherical functions"
Stability of the solar system 730 735 736
Stallings, John R. 1176
Stark, M.H. 822
Staudt, Karl Georg Christian von 850 852 906
Steiner, Jacob 836 838 840 846—848 933
Steinitz, Ernst 1147—1149
Steltjes integral 1041 1085
Stereometry 235
Stevin, Simon 250 254 776
Stewart, Matthew 622
Stickelberger, Ludwig 1139
Stieltjes, Thomas Jan 973 1041 1104 1114—1117
Stifel, Michael 251 252 256 279
Stirling series 453 1097
STIRLING, JAMES 453 454 548 549 553
Stokes line 1103 1108
Stokes' theorem 790
Stokes, Sir George Gabriel 684 697 965 1100 1102 1103
Stolz, Otto. 986 1042
Straight line, infiniteness of 863
Study, Eduard 835 838—839
Sturm, Charles 715—717
Sturm-Liouville theory 715—717
Subgroup 758
Subgroup, invariant see "Normal"
Subgroup, normal 761
Subgroup, self-conjugate see "Normal"
Substitution 602 603 757 758
Sumerians 4
Summability 464 1098 1109—1120
Summability, Abel 1111
Summability, Borel 1117—1119
Summability, Cesaro 1113
Summability, Frobenius 1112 1119
Summability, Holder 1112 1113
Summability, Stieltjes 1115 1116
Summation comention 1127
Superposition 87
Sylow's theorem 768 1141
Sylow, Ludwig 768
Sylvester, Bernard 206
Sylvester, James Joseph 271 544 625 798—800 802 803 1136
Sylvester, James Joseph, algebraic invariants 927 930
Sylvester, James Joseph, biography 797
Symbolic logic see "Mathematical logic"
Symbolism 10 139 140 143 144 186 192 259 263 430 378
Symmetric functions 600 602
Taber, Henry 808
Tabit ibn Qorra 193 195 278
Tait, Peter Guthrie 781 791 812 931
Tangent 342—346
Tartaglia, Niccolo 107 220 229 234 250 263—264
Tauber, Alfred 1119
Tauberian theorem 1119
Taurinus, Franz Adolf 869 879
Tautochrone see "Isochrone"
Taylor's theorem 442 464 465 964
| Taylor, Brook 234 427 441 442 478—479
Tchebycheff, Pafnuti L. 830 831
Tensor analysis 784 1122 1123
Thales 27 28 46 147
Theaetetus 42 48
Theodoric of Freibuig 213
Theodorus of Cyrene 42 48
Theodosius 119
Theodosius, Emperor 180
Theon of Alexandria 25 57 129
Theophrastus 26
Theorie analytique de la chaleur 672 961 966
Theorie des fonctions analytiques 406 430—432 948 964 1029
Theory of forms 826—829
Theory of numbers 10 29 32 53 77—80 136—143 274—278 608—612 813—822 925 see "Cubic "Pell's "Prime "Prime "Quadratic "Theory
Theory of numbers, analytic 829—832
Theory of perturbations 494—498
Theory of surfaces 562—569 859 see "Rummer "Quadric
Theory of surfaces, cubic 859
Theory of surfaces, differential geometric 882—888
Theory of surfaces, isometric 886
Theory of surfaces, quartic 859
Theory of types 1195
Theta functions 649 650
Theudius 57
Thierry of Chartres 206
Thomae, Karl J. 961
Thompson, John G. 1142
Thompson, Sir William see "Kelvin Lord"
Three-body problem 369 492 493 496 497 731—733 735
Tonelli, Leonida 1081
topology 920 1158—1181
Topology, combinatorial 1159 1163 1181
Topology, point—set 1159—1163
Torricelli, Evangelista 338 356 557
Torsion, of a complex 1173 1174 1176 1177 1180
Torsion, of a curve 55962
Toscanelli, Paolo del Pozzo 232
Tractatus de Quadratura Carvarum 361 362
Tractrix 382 473 474 905
Transcendental number 593 594 980—982
Transfinite number 992—1003
Transformation of coordinates 426 546 547
Translation of books 206 220
Triangle inequality 1079 1083
Trigonometric series 454 459 508 514 968 970 see
Trigonometry, Arabic 195 196
Trigonometry, Greek 119—126
Trigonometry, Hindu 189
Trigonometry, plane 119—126 189 237 240
Trigonometry, Renaissance 237—240
Trigonometry, spherical 119 126 237—240
Trivium 202
Truth 45 50 151 219 305 306 326 330 619—621 879 880 890 893 980 1031—1036
Tschirnhausen, Ehrenfried Walter von 270 556 599 600
Uccello, Paolo 232
Undecidable propositions 1202
Undefined terms 51 988 1008 1010
Unicursal curve 552
Uniformization of curves 937—939
universities 201 209 214 220 397 398 621 622
Urban, Pope 327
Urysohn, Paul S. 1161 1162
Vallec Poussin, Charles Jean de la 831 832
van Schooten, Frans 318
Van't Hoff, Jacobus 1130
Vandermonde, Alexandre Theophile 600 606 607 796
Varahamihira 184 189
Varignon, Pierre 403 470
Vasari, Giorgio 232
Veblen, Oswald 1009 1014 1015 1017 1134 1180
Vector analysis 776—779 785 791
Velaria problem 748
Velocity potential 525 686
Veronese, Giuseppe 1010 1016
Vibrating membrane 518 519 689 713
Vibrating string problem 478 479 503 518
Victoris, Leopold 1181
Vieta, Francois 238 239 242 251 252 260 262 266 268—270 279 280 437
Vitali, Giuseppe 1048 1049
Vitello 213
Vitruvius 179
Viviani, Vincenzo 396
Voltaire 434 469 492
Volterra, Vito 986 1023 1028 1048 1056—1058 1077 1078
Volumes, calculation of 343 348
Wallis, John 396 398
Wallis, John, algebra 252 253 255 2256 281
Wallis, John, calculus 353 356 388
Wallis, John, complex numbers 594 595
Wallis, John, coordinate geometry 319
Wallis, John, infinite series 437 438
Wallis, John, parallel axiom 864 865
Wallis, John, theory of numbers 278
Wantzel, Pieire L. 754 764
Waring's theorem 609
Waring, Edward 465 609
Watson, George N. 711 1100
Weber, Heinrich 689 714 942 1145—1146
Weber, Wilhelm 871
Wedderburn, Joseph H.M. 794 1150—1153 1156
Weierstrass factorization theorem 667 668
Weierstrass's theorem 966
Weierstrass, Karl, algebiaic geometry 939 942
Weierstrass, Karl, algebra 793 802
Weierstrass, Karl, calculus of variations 664 665 686 747—749
Weierstrass, Karl, complex functions 642 644 650 651 664
Weierstrass, Karl, foundation of arithmetic 983 987
Weierstrass, Karl, foundations of analysis 948 952 953 956 965 966 979
Weierstrass, Karl: biography 643
Wellstein, Joseph 916
Wentzel, Gregor 1102
Werner, Johann 239
Wessel, Caspar 629 630 776 777
Weyl, Hermann 101 924 1026 1074 1091 1092 1134 1156
Weyl, Hermann, foundations of mathematics 1197 1200 1203 1206 1208—1210
Whitehead, Alfred North 250 1009 1031 1184 1192—1196
Wien, Christopher 354 355 547
Wiener Norbeit 1088 1092
William of Moerbecke 264
William of Ockham 208
Wilson, John 610
Wirtingcr, Wilhelm 1065
Witt, Jan de 544 545
WKBJ method 1102 1108
Wolf, Christian 446
Woodhouse, Robert 974
Word problem 1141 1143
Xenophanes 27
Young, John W. 1009
Young, Thomas 697
Zeeman, E.C. 1176
Zeno of Elea 27 35—37 150
Zeno's paradoxes 35 37 992
Zenodorous 126 576
Zermelo, Ernst 1002 1184—1186
Zero 6 132 185
Zeuthen, Hieronymous G. 944
Zonal harmonics see "Legendre polynomial"
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