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Kline M. — Mathematical Thought from Ancient to Modern Times, Vol. 2
Kline M. — Mathematical Thought from Ancient to Modern Times, Vol. 2



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Íàçâàíèå: Mathematical Thought from Ancient to Modern Times, Vol. 2

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: 480

Äîáàâëåíà â êàòàëîã: 03.04.2008

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
Integral equations Volterra      1055—1058
Integral Lebesque — Stieltjes      1050
Integral Riemann      958—959
Integral Stieltjes      1041
Interpolation      422—423 440—441 454—456
Intersections of curves      553 856—858
Introductio Arithmetica      136—138
Introductio in Analysin Infinitorum      392 402 404—405 430 506 554 558
Intuitionism      1197—1203
Invariance      299—300 920 925—932
inversion      932—933
Involute      555
Involution      128 292—293
Ionia      25 146
Ionian school      27—28
Irrational namber, definition      982—987
Irrational number      8 18 32—33 48—49 72—73 80—81 104 134—135 143 149 173 176 185—186 191—192 197 209 251—252 593—594
Irreducible polynomials      755
Isadore of Seville      202
Isidorus of Miletus      130
Isochrone      471 556
Isomorphism      765—767 1139
Isoperimetric figures      126 576—577 838—839
Isoperimetric theorem      838—839
Ivory, James      523
Jacobi, algebra      608 798—799 801
Jacobi, calculus of variations      745—747
Jacobi, Carl Gustav Jacob      621 813 1024 1026 1037 1100
Jacobi, complex function theory      645—647 649—653
Jacobi, mechanics      743—745
Jacobi, 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 — Holder theorem      762 767
Jordan, Camille      756 766—769 971 1017 1020 1040 1043—1044 1144 1159 1162 1168
Jordanus Nemorarius      211—212
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's laws      244—245 367
Kepler, biography      242—243
Kepler, calculus      347—349 383
Kepler, heliocentric theory      241 243—246
Kepler, Johannes      219—220 231 286 290 299 331 620
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, Erlanger Programm      917—921
Klein, Felix      726 728 730 852 871 893 904 1003 1019 1024 1033 1037 1139—1140 1145 1159
Klein, non-Euclidean geometry      909—913
Klein, topology      1167—1168
Kline, John R.      1015
Klugel, George S.      867—869
Kneser, Adolf      747
Knopp, Konrad      1183
Koebe, Paul      939
Koenigsberg bridge problem      1163—1164
Kowalewski, Gerhard      955 1059
Kowalewsky, Sophie      702
Kramers, Hendrik A.      1102
Kremer, Gerhard (Mercator)      235
Kronecker, algebraic geometry      941—942
Kronecker, algebraic numbers      824—825
Kronecker, foundations      1197—1198
Kronecker, Leopold      755 763 979 988 1003 1034 1037 1138 1146 1150
Kummer surface      859
Kummer, Ernst Eduard      819—820 822 1028
l'Hospital's rule      383
La Giomitrie      270—271 281 305 307—317 345
Lacroix, Sylvestre-Francois      433 465—466 618 948—949
Laertius, Diogenes      44
Lagny, Thomas Fantet      404
Lagrange's equations of motion      588—589 740
Lagrange, algebra      598 600—606 796 800—801
Lagrange, astronomy      493—495
Lagrange, biography      493
Lagrange, calculus      430—432 618 949 964
Lagrange, calculus of variations      582—587 739—740
Lagrange, conformal mapping      570—571 687
Lagrange, differential equations      477—478 486—487 497—498 510—514 519 521 525 532—535 541—543 730
Lagrange, group theory      764—766
Lagrange, infinite series      446 458—459 463—465
Lagrange, Joseph-Louis      406 426 547 603 614—615 678 835 948 1024 1029
Lagrange, mechanics      739—743
Lagrange, theory of numbers      609—611 813 826 828
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 Legendre polynomials
Laplace transform      1052
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—1050 1159 1162 1186 1199
Lefschetz, Solomon      1180
Legendre polynomial      526—531 711—712
Legendre polynomial associated      531
Legendre, Adrien-Marie      1098
Legendre, calculus of variations      589—590
Legendre, differential equations      525—531
Legendre, elliptic integrals      420—422 646
Legendre, Euclidean geometery      58 865—866 1032
Legendre, number system      593
Legendre, special functions      424 526—528 530—531
Legendre, theory of numbers      611—612 813 815 826 830
Leibniz, algebra      281 408—411 411—412 599—600
Leibniz, biography      370—371
Leibniz, calculus      371—80 384—389
Leibniz, calculus of variations      575
Leibniz, differential equations      471—472 474—475
Leibniz, differential geometry      556—557
Leibniz, function concept      339—340
Leibniz, Gottfried Wilhelm      252 258 335 380 391 395 492 862 1028
Leibniz, infinite series      438—439 441 446 461
Leibniz, mathematical logic      1187—1188
Leibniz, philosophy of science      219 619
Leibniz, topology      1158 1163—1164
Lemniscate      320 416—420 549
Length, projective definition of      908 910—911
Leon      57
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 Civita, Tullio      1123 1131—1132
Levi, Beppo      945
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's theorem      667
Liouville, Joseph      624—625 650 667 713 715-717 719 766 824 933 981 1054 1101—1102
Lipschitz, Rudolph      718 899 902 1030 1122 1127—1128
Listing, Johann B      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 also Mathematical logic)
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
Maclaurin's theorem      442
Maclaurin, Colin      428—429 442 461 522—523 552—553 606
Magnitudes of Eudoxus      48—49 68—73
Magnus, Ludwig Imanuel      933
Magnus, Wilhelm      1143
Mahavlra      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
Masfcres, 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 of
Mathieu functions      713—714
Mathieu, Emile-Leonard      689 713
Matrices      804—812 (see also Characteristic equation Characteristic
Matrices congruent      811
Matrices equivalent      809
Matrices Hermitian      808
Matrices infinite      811
Matrices inverse      807
Matrices orthogonal      809—810
Matrices similar      810
Matrices transpose      807
Matrices, elementary divisors of      809
Matrices, invariant factors of      809
Matrices, minimal polynomial of      808
Matrices, rank of      809
Matrices, trace of      808
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's equations      698—699
Maxwell, James Clerk      684 698—699 785—186 790 870 931
Mayer, Frederic-Christian      404
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 Pendulum Projectile
Mechanics center of gravity      129 164 211 235 343 348
Mechanics motion      153 162—163 211—212 335—338 469
Medicine      169 196 203
Menaechmus      42 47—48
Menelaus      120—122
Menelaus's theorem      121
Menger, Karl      1162
Meray, Charles      983
Mercator      see Kremer Gerhard
Mercator, Nicholas (born Kaufman)      354 437
Meromorphic functions      642 668
Mersenne, Marin      275—276 278 295 304 478
Mertens, Franz      929
Metamathematics      1205—1206
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's theorem      564
Meusnier, Jean-Baptiste-Marie-Charles      563—564 586
Miletus      25 27
Mill, John Stuatt      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
Molien, Theodor      1144
Moment problem      1072 1117
Monge, Gaspard      235 536—540 547 565—569 614 616—617 801 836 840
Montucla, J.F. (Jean-Etienne)      617
Moore, Eliakim H      15 1009 1018 1082 1141—1142 1150
Morland, Samuel      258
Morley's theorem      839—840
Morley, Frank      839—840
Motte, Andrew      364
Mouriaille, J. Raymond      381
Muiphy, Robert      711
Muller, J.H.T.      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
Museum of Alexandria      102
MUSIC      148 478—479 481 515 521—522 693—694
Mydoige, Claude      295 304
N dimensional geometry      782 890 1028—1031
Nabu rimanni      4
Napier's rule      240
Napier, John      256—258
Nasir-Eddin      191 196 864 866
Navier — Stokes equations      696—697
Navier, Claude L.M.H.      696—698
1 2 3 4 5 6
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