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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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