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Kline M. — Mathematical thought from ancient to modern times
Kline M. — Mathematical thought from ancient to modern times



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Название: Mathematical thought from ancient to modern times

Автор: Kline M.

Аннотация:

This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1990

Количество страниц: 436

Добавлена в каталог: 03.01.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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"
1 2 3 4 5 6
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