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Kline M. — Mathematical Thought from Ancient to Modern Times, Vol. 3
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Íàçâàíèå: Mathematical Thought from Ancient to Modern Times, Vol. 3Àâòîð: Kline M. Àííîòàöèÿ: Now available in a new three-volume paperback edition, Morris Kline's monumental work presents the major creations in mathematics from its beginnings in Babylonia and Egypt through the first few decades of the twentieth century. Organized around the central ideas of mathematical thought, as well as the men responsible for them, this comprehensive history provides a broad panorama of the development of mathematics, displaying the unity behind the disconnected branches of the discipline today. Beginning with the origins of mathematics in Babylonia and Egypt, Volume One includes chapters on classical Greek and Alexandrian mathematics, Hindu and Arabic contributions, algebra in the sixteenth and seventeenth centuries, coordinate geometry, and the creation of calculus.
ßçûê: Ðóáðèêà: Ìàòåìàòèêà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 1990Êîëè÷åñòâî ñòðàíèö: 448Äîáàâëåíà â êàòàëîã: 03.04.2008Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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Ïðåäìåòíûé óêàçàòåëü
Riesz Fischer theorem 1072 1084 Riesz representation theorem 1085 Riesz, Friedrich 1070—1073 1085—1087 Rigor 947—977 1025 1209 see Ring 821—822 931 1150—1153 Roberval, Gilles Persone de 295 338—339 344 350—351 354 384 Roch, Gustav 665 934 Rodrigues, Olinde 531 883 Rohault, Jacques 492 Rolle, Michel 381 Romans 106 178—180 Romanus, Adrianus 240 Rosancs, Jacob 934 Rudolff, Christoff 254 Ruffini, Paolo 605—606 764—766 Rule of false position 18—19 Ruled surfaces 567 859 Russell, Bertrand 923 988 992 1003 1005 1033 1183—1184 1192—1196 Rychlik, K. 955 Saccheri, Gerolamo 866—867 869 879—880 Salmon, George 927—929 Sarasa, Alfons A. 354 Sarrus, Pierre Frederic 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—839 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 — Frenet formulas 561—62 Serret, Joseph Alfred 562 766 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—942 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—726 733 737 Slide rule 258 Smale, Stephen 1176 Smith, Henry J.S. 803 960 1005 Snell, Willebrord 285 Sochozki, Julian W. 668 Socrates 43 Sonine, Nickolai J. 714 Sophists 27 37—42 Sound 482—483 520—522 691 Space see also Banach space Hilbert Set Space abstract 1078—1180 1159—1163 Space curves 235 557—562 566 941 Space, compact 1078 1160 Space, complete 1161 Space, connected 1160 Space, extremal 1078 Space, function 1078—1080 1082—1084 1178 Space, interior point of 1078 Space, limit point of 1160 Space, metric 1079 1160—1161 Space, metrizable 1161 Space, neighborhood 1079 1160—1161 Space, normal 1087—1089 Space, perfect 1078 Space, separable 1160 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 Stereometry 235 Stevin, Simon 250—254 776 Stewart, Matthew 622 Stickelberger, Ludwig 1139 Stieltjes integral 1041 1085 Stieltjes, Thomas Jan 973 1041 1104 1114—1117 Stifel, Michael 251—252 256 279 Stirling series 453 1097 STIRLING, JAMES 453 545 548—549 553 Stokes line 1103 1108 Stokes, Sir George Gabriel 684 697 965 1100 1102—1103 Stokes’ Theorem 790 Stolz, Otto 986 1042 Straight line, infiniteness of 863 Study, Eduard 835 838—839 Sturm — Liouville theory 715—717 Sturm, Charles 715—717 Subgroup 758 Subgroup, invariant see Subgroup normal Subgroup, normal 761 Subgroup, self-conjugate see Subgroup 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 convention 1127 Superposition 87 Sylow, Ludwig 768 Sylow’s Theorem 768 1141 Sylvester, Bernard 206 Sylvester, James Joseph 271 544 625 798—800 8023 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—263 340 378 Symmetric functions 600 602 Taber, Henry 808 Tabit ibn Qorra 193 195 278 Tait, Peter Guthrie 781 791 812 931 Tangent 342—346 Tartaglia, N’iccolo 107 220 229 234 250 263—264 Tauber, Alfred 1119 Tauberian theorem 1119 Taurinus, Franz Adolf 869 879 Tautochrone see Isochrone Taylor, Brook 234 427 441—442 478—479 Taylor’s Theorem 442 464—465 964 Tchebycheff, Pafnuti L. 830—831 Tensor analysis 784 1122—1123 Thales 27—28 46 147 Theaetetus 42 48 Theodoric of Freiburg 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 algebraic equations 270—272 381 597—606 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 559—562 Toscanelli, Paolo del Pozzo 232 Tractatus de Quadratura Curvarum 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, Ehienfried Walter von 270 556 599—600 Uccelio, Paolo 232 Uiban, Pope 327 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 Urysohn, Paul S. 1161—1162 Vallee Poussin, Charles Jean de La 831—832 van Schooten, Frans 318 Vandermonde, Alexandre Theophile 600 606—607 796 Van’t Hoff, Jacobus 1130 Varahamihira 184 189 Varignon, Pierre 403 470 Vasari, Giorgio 232 Veblen, Oswald 1009 1014—1015 1017 1134 1180 Vector analysis 776—779 785—791 Veionese, Giuseppe 1010 1016 Velaria problem 748 Velocity potential 525 686 Vibrating membrane 518—519 689 713 Vibrating string problem 478—479 503—518 Vieta, Francois 238—239 242 251—252 260—262 266 268—270 279—280 437 Vietoris, Leopold 1181 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—256 281 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, Pierre L. 754 764 Waring, Edward 465 609 Waring’s theoiem 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, Karl, algebra 793 802 Weierstrass, Karl, algebraic geometry 939 942 Weierstrass, Karl, biography 643 Weierstrass, Karl, calculus of variations 664—665 686 747—749 Weierstrass, Karl, complex functions 642—644 650—651 664—665 Weierstrass, Karl, foundation of arithmetic 983 987 Weierstrass, Karl, foundations of analysis 948 952—953 956 965—966 979 Weierstrass’s Theorem 966 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—1201 1203 1206 1208—1210 Whitehead, Alfred North 250 1009 1031 1184 1192—1196 Wiener, Norbert 1088 1092 William of Moerbecke 264 William of Ockham 208 Wilson, John 610 Wirtinger, Wilhelm 1065 Witt, Jan de 544—545 WKBJ method 1102 1108 Wolf, Chiistian 446 Woodhouse, Robert 974 Word pioblem 1141 1143 Wren, Christopher 354—355 547 Xenophanes 27 Young, John W. 1009 Young, Thomas 697 Zeeman, E.C. 1176 Zeno of Elea 27 35—37 150 Zenodorous 126 576 Zeno’s paradoxes 35—37 992 Zermelo, Ernst 1002 1184—1186 Zero 6 132 185 Zeutheri, Hieronymous G. 944 Zonal harmonics see Legendre polynomial
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