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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
Isomorphism 765—767 1139 Isoperimetric figures 126 576—577 838—839 Isoperimetric theorem 838—839 Ivory, James 523 Jacobi, Carl Gustav Jacob 621 813 1024 1026 1037 1100 Jacobi, Carl Gustav Jacob, algebra 608 798—799 801 Jacobi, Carl Gustav Jacob, calculus of variations 745—747 Jacobi, Carl Gustav Jacob, complex function theory 645—647 649—653 Jacobi, Carl Gustav Jacob, mechanics 743—745 Jacobi, Carl Gustav Jacob, theory of numbers 818 829 Jacobian 927—928 Jeffreys, Harold 1102 1109 Jones, William 251 258 404 448 Jordan canonical form 810 Jordan curve 1017 Jordan curve theorem 1017 1179 Jordan, Camille 756 766—769 971 1017 1020 1040 1043—1044 1144 1159 1162 1168 Jordanus Nemorarius 211—212 Jordan—Holder theorem 762 767 Journals 397 624—625 Jurin, James 428 Justinian 43 130 190 Kant, Immanuel 862 1032 Kastner, Abraham G. 440 754 869 871 Kellogg, Oliver D. 726 1178 Kelvin, Lord (Sir William Thomson) 648—649 772 933 1100 Kepler, Johannes 219—220 231 286 290 299 331 620 Kepler, Johannes, biography 242—243 Kepler, Johannes, calculus 347—349 383 Kepler, Johannes, heliocentric theory 241 243—246 Kepler’s laws 244—245 367 Kervaire, Michel 1151 Khayyam, Omar 191 194—195 Kidinu 4 Killing, Wilhem K.J. 1155 Kirchoff, Gustav R. 694 Kirkman, Thomas Penyngton 766 Klein bottle 1168 Klein, Felix 726 728 730 852 871 893 904 1003 1019 1024 1033 1037 1139—1140 1145 1159 Klein, Felix, Erlanger Programm 917—921 Klein, Felix, non-Euclidean geometry 909—913 Klein, Felix, topology 1167—1168 Kline, John R. 1015 Klugel, George S. 867—869 Kneser, Adolf 747 Knopp, Konrad 1183 Koch, Helge von 1020 Koebe, Paul 939 Koenigsberg bridge problem 1163—1164 Kowalewski, Gerhard 955 1059 Kowalewsky, Sophie 702 Kramers, Hendrik A. 1102 Kremer, Gerhard (Mercator) 235 Kronecker, Leopold 755 763 979 988 1003 1034 1037 1038 1146 1150 Kronecker, Leopold, algebraic geometry 941—942 Kronecker, Leopold, algebraic numbers 824—825 Kronecker, Leopold, foundations 1197—1198 Kummer surface 859 Kummer, Ernst Eduard 819—820 822 1028 La Geometric 270—271 281 305 307—317 345 La Hire, Philippe de 289 298—301 321 840 Lacroix, Sylvestre—Francois 433 465—466 618 948—949 Laertius, Diogenes 44 Lagny, Thomas Fantet 404 Lagrange, Joseph-Louis 406 426 547 603 614—615 678 835 948 1024 1029 Lagrange, Joseph-Louis, algebra 598 600—606 796 800—801 Lagrange, Joseph-Louis, astronomy 493—495 Lagrange, Joseph-Louis, biography 493 Lagrange, Joseph-Louis, calculus 430—432 618 949 964 Lagrange, Joseph-Louis, calculus of variations 582—587 739—740 Lagrange, Joseph-Louis, conformal mapping 570—571 687 Lagrange, Joseph-Louis, differential equations 477—478 486—487 497—498 510—514 519 521—525 532—535 541—543 730 Lagrange, Joseph-Louis, group the ory 764—766 Lagrange, Joseph-Louis, infinite series 446 458—59 463—465 Lagrange, Joseph-Louis, mechanics 739—743 Lagrange, Joseph-Louis, theory of numbers 609—611 813 826 828 Lagrange’s equations of motion 588—589 740 Laguerre, Edmond 906—907 1114—1115 Lamb, Horace 468 Lambert, Johann Heinrich 234 404 460 570 868—869 879 887 Lame functions 712—713 Lame, Gabriel 687—689 712—713 819 900—901 Lancret, Michel-Ange 559—560 Landsberg, Georg 942 Laplace coefficients see Legandre polynomials Laplace transform 1052 Laplace, Pierre-Simon de 436 502 972 1052 1098—1099 Laplace, Pierre-Simon de, algebra 607 796 800—801 Laplace, Pierre-Simon de, astronomy 496 Laplace, Pierre-Simon de, biography 494—495 628 Laplace, Pierre-Simon de, differential equations 477—478 497 502 527—529 542—543 682 687 Laplace, Pierre-Simon de, philosophy of science 628 Laplace’s equation see Potential theory Laplacian 785—786 900—902 1129—1130 Lasker, Emanuel 1153 Latent roots see Characteristic equation Latitude of forms 210—211 Laurent expansion 641 Laurent, Pierre-Alphonse 641 Law of excluded middle 1202 Law of inertia 799—800 Lebesgue integral 1044—1050 1071 Lebesgue — Stieltjes integral 1050 Lebesgue, Henri 954 961 1044—1150 1159 1162 1186 1199 Lefschetz, Solomon 1180 Legendre polynomial 526—531 711—712 Legendre polynomial as sociated 531 Legendre, Adrien-Marie 1098 Legendre, Adrien-Marie, calculus of variations 589—590 Legendre, Adrien-Marie, differential equations 525—531 Legendre, Adrien-Marie, elliptic integrals 420—422 646 Legendre, Adrien-Marie, Euclidean geometry 58 865—866 1032 Legendre, Adrien-Marie, number system 593 Legendre, Adrien-Marie, special functions 424 526—528 530—531 Legendre, Adrien-Marie, theory of numbers 611—612 813 815 826 830 Leibniz, Gottfried Wilhelm 252 258 335 380 391 395 492 862 1028 Leibniz, Gottfried Wilhelm, algebra 281 408—411 411—412 599—600 Leibniz, Gottfried Wilhelm, biography 370—371 Leibniz, Gottfried Wilhelm, calculus 371—380 384—389 Leibniz, Gottfried Wilhelm, calculus of variations 575 Leibniz, Gottfried Wilhelm, differential equations 471—472 474—475 Leibniz, Gottfried Wilhelm, differential geometry 556—557 Leibniz, Gottfried Wilhelm, function concept 339—340 Leibniz, Gottfried Wilhelm, infinite series 438—439 441 446 461 Leibniz, Gottfried Wilhelm, mathematical logic 1187—1188 Leibniz, Gottfried Wilhelm, philosophy of science 219 619 Leibniz, Gottfried Wilhelm, topology 1158 1163—1164 Lemniscate 320 416—420 549 Length, projective definition of 908 910—911 Leon 57 Leonardo da Vinci 223—225 233—235 580 Leonardo of Pisa 205—206 209—210 237 Leray, Jean 1178 Les Methodes nouvelles de la mecanique celeste 735 1105 1170 LeSturgeon, Elizabeth 1080 Leucippus 37 150 Levi ben Gerson 273 Levi, Beppo 945 Levi—Civita, Tullio 1123 1131—1132 Levy, Paul P. 1077 Liapounoff, Alexander 736 Library of Alexandria 102 180 Lie algebra see Abstract algebra Lie, Sopus 920—921 1030 1139—1140 1155 Liebmann, Heinrich 906 Lindeman, Ferdinand 981—982 Line coordinates 855 Line curve 848 Line, structure of 52—53 Linear algebraic equations 606 803—804 Linear associative algebra 791—794 1151—1153 Linear transformations 768—769 917—920 Liouville, Joseph 624—625 650 667 713 715—717 719 766 824 933 981 1054 1101—1102 Liouville’s theorem 667 Lipschitz, Rudolph 718 899 902 1030 1122 1127—1128 Listing, Johann Â. 1164—1165 Lobatchevsky, Nikolai Ivanovich 873—881 914 921 Locke, John 619 862 Logarithm function 354 403—404 Logarithms 256—258 Logic 52—53 see Logicism 1192—1197 Logistica 131 Logistica numerosa 261—262 Logistica speciosa 261—262 Lommel, Eugen C.J. 710 Lull, Raymond 1187 Lunes of Hippocrates 41—42 Luroth, Jacob 937 Lyceum of Aristotle 27 L’Hospital, Guillaume F.A. 383 387 557 L’Hospital’s Rule 383 Maclaurin, Colin 428—429 442 461 522—523 552—553 606 Maclaurin’s theorem 442 Magnitudes of Eudoxus 48—49 68—73 see Magnus, Ludwig Imanuel 933 Magnus, Wilhelm 1143 Mahavira 184—185 187 Mainardi, Gaspare 885 Malus, Etienne-Louis 569 Map problem 1166 Map—making 161—162 235—236 286 564—565 570—571 Mariotte, Edme 468 Masaccio 232 Mascheroni, Lorenzo 235 840 Maschke, Heinrich 1145 Maseres, Francis, Baron 592—593 Mastery of nature 226 307 Mastlin, Michael 243 Mathematical design of nature 153 213—214 218—219 326 328—329 Mathematical induction 272 Mathematical logic 281 1187—1192 Mathematical Principles of Natural Philosophy 334—335 358 364—369 380 395 440 470 492—493 497 573 Mathematical societies 625 Mathematics and reality 392—394 879—880 1028—1031 Mathematics and science 325—335 394—396 616—617 see of Mathieu functions 713—714 Mathieu, Emile-Leonard 689 713 Matrices 804—812 see Characteristic Matrices, congruent 811 Matrices, elementary divisors of 809 Matrices, equivalent 809 Matrices, Hermitian 808 Matrices, infinite 811 Matrices, invariant factors of 809 Matrices, inverse 807 Matrices, minimal polynomial of 808 Matrices, orthogonal 809—810 Matrices, rank of 809 Matrices, similar 810 Matrices, trace of 808 Matrices, transpose 807 Maupertuis, Pierre L.M. 469 581—582 620 740 Maurolycus, Francesco 223 229 272 Maxima and minima 97—98 343 347—348 838—839 Maxwell, James Clerk 684 698—699 785—786 790 870 931 Maxwell’s equations 698—699 Mayer, Frederic-Christian 404 Mctamathematics 1205—1206 Mean value theorem 464 955 Means of numbers 32 Measure 1044—1046 Mecanique Analytique 493 541 615 949 1029 Mecanique Celeste 495 498—499 530 542 972 Mechanics 129 162—166 211—212 286 616 Mechanics, center of gravity 129 164 211 235 343 348 Mechanics, motion 153 162—163 211—212 335—338 469 see Pendulum Projectile Medici, Cosimo I de’ 220 Medici, Cosimo II de’ 327 Medicine 169 196 203 Menaechmus 42 47—48 Menclaus’s theorem 121 Menelaus 120—122 Menger, Karl 1162 Meray, Charles 983 Mercator see Kremer Gerhard Mercator, Nicholas (born Kaufman) 354 437 Mere, Chevalier de see Gombaud Antoine Meromorphic functions 642 668 Mersenne, Marin 275—276 278 295 304 478 Mertens, Franz 929 Method of exhaustion 50 83—85 108 112—115 177 343 Method of infinite descent 275 Methodology, in algebra 268—270 Methodology, in geometry 286 300 302 308 322 Methodology, of science 223 325—335 Methodus Fluxionum et Serierum Infinitarum 361—362 364 381 439 470 Metrodorus 138 Metzler, William Henry 808 811 Meusnier, Jean Baptiste-Marie-Charles 563—564 586 Meusnier’s theorem 564 Meziriac, Claude Bachet de 261 274 Miletus 25 27 Mill, John Stuart 861 Miller, George A. 1142 Milnor, John 1151 1176 Minding, Ferdinand 608 886 893 905 Minimal surface 539 579 585—586 750 Minkowski, Hermann 829 931 Mirimanoff, Dimitry 820 Mittag—Leffler, Gosta 668 Mobius band 1165—1166 Mobius, Augustus Ferdinand 777 846 852—853 918 1028 1164—1166 modular system 825 Module 931 943 Mohr, George 234 840 Moivre, Abraham de 409 453—454 600 Molicn, Theodor 1144 Moment problem 1072 1117 Monge, Gaspard 235 536—540 547 565—569 614 616—17 801 836 840 Monlmort, Pierre Remond de 473 Monte, Guidobaldo del 223 234 286 Montucla, J.F. (Jean-Etienne) 617 Moore, Eliakim H. 15 1009 1018 1082 1141—1142 1150 Morland, Samuel 258 Morley, Frank 839—840 Morley’s theorem 839—840 Motte, Andrew 364 Mourraille, J. Raymond 381 Muller, J.H.Ò. 984 Muller, Johannes (Regiomontanus) 238—239 Multiple integrals 425—426 798 1048—1049 Multiple points of curves see Singular points of curves Multiple-valued complex functions 641—642 655—662 Murphy, Robert 711 Museum of Alexandria 102 MUSIC 148 478—479 481 515 521—522 693—694 also Mydoige, Claude 295 304 n-dimensional geometry 782 890 1028—1031 Nabu—rimanni 4 Napier, John 256—258 Napier’s rule 240 Nasir—Eddin 191 196 864 866 Nave, Annibale della 263 Navier Stokes equations 696—697 Navier, Claude L.M.H. 696—698 Navigation 119 250 286 336—337 470—471 Negative number 143 185 192 252—253 592—593 Neile, William 98 355 Nelson, Leonard 1183—1184
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