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Kline M. — Mathematical Thought from Ancient to Modern Times, Vol. 1
Kline M. — Mathematical Thought from Ancient to Modern Times, Vol. 1



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Íàçâàíèå: Mathematical Thought from Ancient to Modern Times, Vol. 1

Àâòîð: 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: en

Ðóáðèêà: Ìàòåìàòèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 1990

Êîëè÷åñòâî ñòðàíèö: 432

Äîáàâëåíà â êàòàëîã: 03.04.2008

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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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
1 2 3 4 5 6
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