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Kline M. — Mathematical Thought from Ancient to Modern Times, Vol. 1
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Íàçâàíèå: Mathematical Thought from Ancient to Modern Times, Vol. 1Àâòîð: 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: 432Äîáàâëåíà â êàòàëîã: 03.04.2008Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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Ïðåäìåòíûé óêàçàòåëü
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 Romanu, Adrianus 240 Rosanes, 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 Schoen flies, Arthur M. 1018 Scholastics 207 Schopcnhauer, Arthur 1005 Schroedinger, Erwin 1092 Schur, Friedrich 899 1009 Schur, Issai 1144—145 Schwarz Christoffel mapping 666—667 687 Schwarz's inequality 1083 1093 Schwarz, Herman Amandus 666 704 706 727 838—839 1020 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—562 Serret, Joseph Alfred 562 766 Servois, Francois Joseph 774 777 836 841 Set 970 1151 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; see also Space abstract Shape of the earth 469 70 522 Sieve of Era to thenes 1 38 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, cup 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 curves 235 557—562 566 941 Space: abtract 1078—1080 1159—1163 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; see also Banach space Hilbert Special functions 422—426 709 715 Specialization 1024 Spherical circle 845 854 Spherical function 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 integtal 1041 1085 Stereometry 235 Stevin, Simon 250—254 776 Stewalt, Matthew 622 Stickelberger, Ludwi 1131 Stieltjes, Thomas Jan 973 1041 1104 1114—1117 Stifel, Michael 251—252 256 279 Stilling, James 453 545 548—549 553 Stirling series 453 1097 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 Stuim, Chalks 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, Froeltjes 1115—1116 Summation convention 1127 Superposition 87 Sylow's theorem 768 1141 Sylow, Ludwig 768 Sylvester, Bernard 206 Sylvester, Jame, Joseph 271 544 625 798 800 802—803 1136 Sylvester, Jame, Joseph, algeraic invariants 927 930 Sylvester, Jame, 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 Taibit ibn Qorta 192 195 278 Tait, Peter Guthrie 781 791 812 931 Tangent 342—346 Tartaglia, Niccolo 107 220 229 234 250 263—264 Taubelian theorem 1119 Tauber, Alfred 1119 Taurinus, Franz Adolf 869 879 Tautochrone See lsochrone 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 Themie des fonctions analytiques 406 430—432 948 964 1029 Theodoric of Freiburg 213 Theodorus of Cyrene 42 48 Theodosius 119 Theodosius, Emperor 180 Theon of Alexandria 25 57 129 Theophrastus 26 Theorie analyliqlle de la chaleur 672 961 966 Theory of algebraic equations 270—272 381 597—606 Theory of form 826—829 Theory of numbers 10 29—32 53 77—80 136—143 274—278 608—612 813—822 925 Theory of numbers, analytic 829—832; see also Biquadratic reciprocity; Cubic reciprocity; Pell's equation; Prime number; Prime number theorem; Quadratic reciprocity; Theory of forms Theory of perturbations 494—498 Theory of surfaces 562—569 859 Theory of surfaces, cubic 859 Theory of surfaces, differential geometric 882—888 Theory of surfaces, isometric 886 Theory of surfaces, quartic 859; see aim Algebraic surface Theory of types 1195 Theta functions 649—650 Theudius 57 Theudius of Chatters 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 Clirvarum 361—362 Tractlix 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; 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 curve 937—939 universities 201 209 214 220 397—398 621—622 Urban, Pope 327 Urysohn, Paul S. 1161—1162 Vallee Poussin, Chade, Jean de la 831—832 Van Schooten, Flans 318 Van't Hoff, Jacobus 1130 Vandelmonde, Alexandre Theophile 600 606—607 796 Varahamihila 184 189 Varignon, Piene 403 470 Vasari, Giorgio 232 Vebariting problem 748 Veblen, Oswald 1009 1014—1015 1017 1134 1180 Vector analysis 776—779 785—791 Velocity potential 525 686 Veronese, Giuseppe 1010 1016 Vibrating membrane 518 19 689 713 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, Giueppe 1048—1049 Vitello 213 Vitiuvius 179 Viviani, Vincenzo 396 Voltaire 434 469 492 Volterra, Vito 986 1023 1028 1048 1056 1077—1178 Volume , calculation of 343 348 Waling's theorem 609 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 Watin , Edward 465 609 Watson, George N. 711 1100 Weber, Heimich 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, algebra 793 802 Weierstrass, Karl, algebraic geometry 939 942 Weierstrass, Karl, biography 643 Weierstrass, Karl, calculus of variation 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 Weillel, Johann 239 Wellsteib, Joseph 916 Wenzel, Gregor 1102 Wessel, Caspal 629—630 776—777 Weyl, Hermann 101 924 1026 1074 1091—1092 1134 1156 Weyl, Hermann, foundation of mathematics 1197 1200 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 Witt, Jan de 544—545 Wittinget, Wilhelm 1065 WKBJ method 1102 1108 Wolf, Christian 446 Woodhouse, Robell 974 Word problem 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 Zeno's paradoxes 35—37 992 Zenodorous 126 576 Zermelo, Ernst 1002 1184—1186 Zero 6 132 185 Zeuthen, Hieronymous G. 944 Zonal harmonic See Legendre polynomial
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