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| Yandell B. — The Honors Class: Hilbert's Problems and Their Solvers |
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| Ïðåäìåòíûé óêàçàòåëü |
Hilbert, Kathe Jerosch (1864-1945) 13—14
Hildebrandt, Stefan (1936- ) 373
Hill, George William (1838-1914) 319
Hille, Einar (1894-1980) 147 195
Hlawka, Edmund, (1916- ) 175 178 181 188 253
Hodge, W.V.D.(1903-1975) 272
Hoelder, Otto (1859-1937) 378
Holzapfel, Rolf-Peter 256—257 371
Homology 123 322 329 345—346
Honda, Kin-ya 220 228—230
Hopf, Eberhard (1902-1963) 377 378 380
Howard, Bill 76
Hsiang,Wu-Yi(i937- ) 290
Hurwitz, Adolf (1859-1919) 9—10 13—14 16—17 269 278
Husserl, Edmund (1859-1938) 54
Hutchinson, J.I. 208
Huygens, Christiaan (1629-1695) 124
Hydrodynamics 101 356 360 362 370
Ideal number 217—218
Ihie, Wolfgang 273
Ilyashenko, Yulij 318 370—371
Imaginary number 27 72 193 214 309
Incompleteness theorem 47 49—52 75—76 88
Independence 15 25 54 58 70 77—78 84 117 263
Information theory 354—357
Intuitionism 40—41 51 283 328 337
Intuitionists 18 38 40 50 68 283 337 343 351
Invariant theory (algebraic invariant theory) 11—12 40 61 169 247 264—266
Itcnberg, Ilia 278
Iyanaga, Shokichi (1906- ) 213 226 229 238
Jacobi, Carl (1804-1851) 7 166 217
Jevons, William Stanley (1835-1882) 61
John, Charlotte (1910- ) 231
Jordan, Camille (1838-1922) 10
Jost, Res 161
Jugendtraum 224—225 255—256
Julia, Gaston (1893-1978) 301
Kac, Mark (1914-1984) 165 344
Kagan, V.K.(1869-1953) 120
Kalinin, I. 278
Kaluza,Theodor (1885-1945) 200 253
KAM theory 187 190 325 329 353—354 356
Kanigel, Robert 210
Kant, Immanuel (1724-1804) 8 10 34 54 284
Kaplansky, Irving (1917- ) 74 113 144 247—248 271 355
Kappe, Luise-Charlotte 201
Katz, Nicholas 370—371
Kawai,Jutaro 222
Kendall, D.G.(i9i8- ) 337 354
Kepler, Johannes (1571-1630) 124
Kerekjarto, Bela (1898-1946) 145
Keyser, Cassius (1862-1947) 90
Kharlamov, Viatcheslav 278
Khinchin, A.Ya. (1894-1959) 193—195 338 344—345- 356
Khovansky, Askold G. 278
Kikuchi, Dairoku (1855-1917) 222
Kleene, Stephen C.(1909-1994) 75—76 86—87 109
Kleiman, Steven L. 270—274
Klein, Felix (1849-1925) 10 12—14 17 19 71 138 180 222 224 263 277—278 281 284 304 313 321—322 366—367
Kline, Morris (1908-1992) 376
Kneser, Helmuth (1989-1973) 123
Koebe, Paul (1882-1945) 281 297—299 306 324
Kohn, Armando Treibich 370—371
Kohn, C. 271
Kolman, Ernest 195 196
Kolmogorov, A.N.(1903-1987) 5 33 40—41 50—51 66 108—109 160 189—190 193 195 296 303 331—360 369 375—376
Koloshin, V.Yu. 318
Konig, Julius (1849-1913) 36
Kontsevich, Maxim 273
Korchagin, Anatoly 278
Kovalevskaya, Sofya (1850-1891) 332—333
Krasnov, V 278
Kreisel, Georg (1923- ) 44 52 54—56 58 77 82 102 266
Krichever, I.M. 368
Kronecker, Leopold (1823-1891) 12—13 18 28 34—35 38 41 166 216 219 224—225 255- 337
Kronrod, A.S. 355
Krylov, A, N.(1863-1945) 195 375
Kummer, Ernst Eduard (1810-1893) 28 166 216—217 246
Kuzman, R.O. 194
Kzawa.Tohru 273
L-function 194 233
Ladyzhenskaya, O.A.(1922- ) 378
Lagrange, Joseph Louis (1736-1813) 60 100 162 168 185 190 247 262 319
Laksov, Dan 273
Lambda-definable function 87
Lame, Gabriel (1795-1870) 216
Landau, Edmund (1877-1938) 72 101 178—179 181 183 185 208 210 246 251 286 341 343
Landau,Lev(1908-1968) 361
Landis, E.M.(1921-1997) 318 375
Lang, Serge (1927- ) 213 228—229 245
Langlands, Robert P (1936- ) 256
Laplace, Pierre-Simon de (1749-1827) 319 376
Lascoux, Alain 273
Lasker, Emmanuel (1868-1941) 198
Law of Large Numbers 338 345
Law of the excluded middle 12 40 337
Lax, Peter (1926- ) 378
Lebesgue, Henri (1875-1941) 33 172 342 380
Lefschetz, Solomon (1884-1972) 272
Legendre, Adrien Marie (1752-1833) 185 205 216
Leibniz, Gottfried Wilhelm (1646-1716) 8 47 54 60 62 66 168 262 321
Lenstra, H.W, Jr. 234 240
Leray, Jean (1906-1998) 377 380—381
Levi-Civita,Tullio (1873-1941) 189
Levy, Azriel 76 81
Levy, Paul (1886-1971) 342
Lewis, Clarence I.(1883-1964) 61—62 90
Lewy, Hans (1904-1988) 160
Lexine, V.E 370
Lichtenstein,Leon (1878-1933) 377
Lie groups 143—145 185 188 360
Lie, Sophus (1842-1899) 143—144 153 263
Lifshits, Vladimir 111
Lindeloef, Ernst (1870-1946) 208
Lindemann, Ferdinand (1852-1939) 9—10 12—13 30 167 171—172 182
Liouville, Joseph (1809-1882) 30 166 171 175 216
Listing, Johann (1806-1882) 321
Littlewood, J.E.(1885-1977) 181 208 210
Littlewood, J.E.(1885-1997) 354
Lobachevsky Prize 139 141
Lobachevsky, N.I.(1792-1856) 137 193
Loewenheim — Skolem theorem 63—65 67 69 77 83
Loewenheim, Leopold (1878-1957) 63—64 66—68
Lomonosov, M.V (1711-1765) 349
Longley, William Raymond (1880-1965) 147
Lusternik, L.A.(1899-1982) 195—196
Luzin,N.N.(1883-1950) 193 195—196 235—338 349 375
Lyapunov, A.M.(1857-1918) 338
Mac Lane, Saunders (1909- ) 72 74—75
MacHenry,Trueman 133—135
Mackey, George (1916- ) 149
MacPherson, Robert 273
Magnus, Wilhelm (1907-1990) 129 188
Manin.Yuri 369
Marcellini, Paolo 376—377
Marin, Alexis 278
Markov, A.A.(1856-1922) 93 338 344—345 357
Markov, A.A.(1903-1979) 93 106 109 111 123 357
Maschke, Heinrich (1853-1908) 74
Maslov, S.Yu. (1939-1982) 91 109 111
Matiyasevich, Yuri (1947- ) 85 91 100 106—113 191 211 357 368
McCarthy, John (1927- ) 111
Measure theory 33 40 51 81 140 172 174—190 295 320 337—338 347 352—353
Mehrtens, Herbert 253 283—288
Menger, Karl (1902-1985) 51 53
Menzel, Donald (1901-1976) 148
Metric 134 138 140—142
Mikhalkin, Grigory 278
Milnor,John(i93i- ) 288—289
Mimura.Y. 229
| Minimal model 77—80 328
Minkowski, Hermann (1864-1909) 8—9 13—14 16 140 185 247—248 251
Minsky, Marvin 91
Mischacev, N. 278
Mittag-Leffler,Magnus (1846-1927) 326
Model 15 16 46—47 64 66 69—70 77 79—80 83
Moebius, Agustus Ferdinand (1790-1868) 276 321
Monastyrsky, Michael 162 375
Monge,Caspard(1746-1818) 270
monodromy 365—366 370—371
Montgomery, Deane (1909-1992) 134 143 145 149—158
Montgomery, Hugh 211
Montgomery, Richard 361 362
Moore, Eliakim (1862-1932) 74
Moore, Gregory 51 68 76—78 81
Mordell, Louis Joel (1888-1972) 181 248—249 323
Morgenstern, Oskar (1902-1977) 55 57
Mori, Shigefumi 267
Moriya, M. 229
Morrey, Charles B.(1907-1984) 377—378 380
Morse, Marston (1892-1977) 152—153
Moschovakis, Yiannis 81
Moser, Jiirgen (1928-1999) 188—190 325 353 360 378
Mostow, G.Daniel 151
Moufang, Ruth (1905-1997) 134
Mumford, David 266
Nagano, M 229
Nagata, Masayoshi (1927- ) 261 266—268
Nasar, Sylvia 379
Nash, John E (1928- ) 149 378—380
Nemenyi, Peter 133
Neugebauer, Otto (1899-1990) 250 343
Nevanlinna, Rolf (1895-1980) 253
Newman, Don 72
Newton, Isaac (1642-1727) 8 34 60 130 275 315 319 331 361 373
Neyman, Jerzy (1894-1981) 97
Nielsen, Jakob (1890-1959) 121 124
Nielsen, Niels (1865-1931) 230
Nikulin, Viacheslav V. 278
Nirenberg, Louis (1925- ) 376
Noether, Emmy (1882-1935) 18 162 218 229—230 232 246 250 252 264—265 341 343
Noether, Max (1844-1921) 264
Non-archimedean 137 246
Non-Euclidean 8 61 206 283 308 312—313 316 327 337
Novikov, Serge P (1938- ) 349 369
Nyuberg, Nikolai Dmitrievich 339
Oleinik, Olga Arsenevna (1925- ) 277 354 375
Oppenheimer, J.Robert (1904-1967) 154
Orevkov, Stepan 278
Ostrogradsky, Mikhail V.(1802-1862) 333
Ostrowski, Alexander (1893-1986) 287
Oughtred, William (1574-1660) 27
Pach, Janos 165
Painleve, Paul (1863-1933) 326
Pais, Abraham (1919-2000) 323
Papakyriakopoulos, Christos (1914- 1976) 123
Paradox 35 42 47 61—64 114 131
Parkes, Linda 273
Partial differential equation 140 320 373 376—377 381
Pasch, Moritz (1843-1930) 15 62 120
Pasta, J.R 354
Pauli, Wolfgang (1900-1958) 18
Peacock, George (1791-1858) 263
Peano, Giuseppe (1858-1932) 15 62—63 68 120
Pedoe, Daniel (1910-1998) 272
Peirce, Charles Sanders (1839-1914) 61—62 66—76
Pell's equation 85 101 111 177
Penrose, Roger (1931-) 288—289
Perron, Oskar(1880-1975) 380
Peter, Fritz 145
Petrovsky, Ivan Georgievich (1901-1973) 193 277 318 354 360 375—377
Phase space 327 352
Piatetski-Shapiro, llya (1929- ) 188 192 197—198 208
Picard.Emile (1856-1941) 34 374
Piene, Ragni 273
Pisano, Leonardo [Fibonacci] (1170- 1250) 124
Plemelj, Josip (1873-1967) 365—367 370—371
Pogorelov, Aleksei Vasilevich (1919- ) 137 140—142
Poincare conjecture 329
Poincare, Henri (1854-1912) 10 27 34 38 83 123 187 189 275 296—306 308 311—329 331 333 345 351—353 361 374
Poisson, Simeon-Denis (1781-1840) 319
Polotovsky, Grigory 278
Polya, Georg (1887-1985) 193—194
Polynomial equation 4 30 168—169 171—172 213 215 249 262 275 278 324
Poncelet, Jean Victor (1788-1867) 270
Pontryagin, L.S.(1908-1960) 145
Post, Emil (1897-1954) 90 102 106 109 113 123
Postnikov, M.M. 369
Prime number theorem 166 205 207
Primitive recursive function 86 99
probability 102 150 205 295 320 335 337—338 343—347 351—353 356—357 375—376
Procesi, Claudio 273
Projective geometry 133 150 276 321 345
Proof theory 50
Putnam, Hilary (1926- ) 78 85 101—104
Pythagoras (-580BC- -500 BC) 203
Quadratic form 185 214 247—248 308
Qualitative theory of differential equations 315 318
quantum mechanics 4 102—103 131 150 160—161 167 211 228
Quine,W.V (1908-2000) 102
Ragsdale, Virginia (1870-1945) 277
Ramanujan, Srinivasa Aiyangar (1887- 1920) 168 181 209—211 303
Ratner, Marina 361
Real number 25 27 30 37 59 174 218 275 309 353
Reciprocity 14 166 214 228 233—235
Recorde, Robert (1510-1558) 26
Recursive function 87—88 95 109
Reichenbach, Hans (1891-1953) 102
Reid, Constance 7 95 138 180 232 241 252—253 298
Reinhardt.K. 288
Ribet, Kenneth 257
Richardson, Moses (1911-1968) 71
Richelot,Friedrich(1808-1875) 7
Riemann hypothesis 114 174 196 204 207—208 211 249
Riemann, Bernhard (1826-1866) 27 83 127 137 166 190—191 204 206—208 218 249 300 311 313 321 361 365 367—370 377 380
Riemann-Siegel formula 127 208
Robinson, Abraham (1918-1974) 62 266
Robinson, Julia (1919-1985) 85 95- 104—105 109—113 169 203
Robinson, Raphael M.(1911-1995) 97—99 101
Roch,Gustav(i839-i866) 218
Rohn, Karl (1855-1920) 277
Rohrl, Helmut 369—371
Rokhlin, Vladimir Abramovich (1919- 1984) 278
Rosen, Nathan (1909-1995) 131
Rosenfeld, B.A. 358
Rosser.J.Barkley (1907-1989) 86 87
Rota, Cian-Carlo (1932-1999) 232
Roth, Klaus (1925- ) 177
Royden, Halsey (1928-1993) 68 75
Ruelle, David 303
Runge, Carl(1856-1927) 246
Russell, Bertrand (1872-1970) 36 38 41—42 54 62—63 66 86 109 130
Sacchiero, Gianni 273
Samuel, Pierre 272
Sarnak, Peter 379
Schaffeld, Egon 178 179
Schappacher, Norbert 256
Schauder, Juliusz E [Jules] (1899-1943) 377 380—381
Schlessinger, Michael 273
Schlick, Moritz (1882-1936) 44
Schmidt, F.K.(1901-1977) 252
Schmidt, O.Yu. 195
Schneider, Theodor (1911-1988) 171 174 178 181 183 191 194—195 198—202 210
Schonflies, Arthur Moritz (1853-1928) 181 279 281—283 285
Schreier, Otto (1901-1929) 190 265
Schroder, Ernst (1841-1902) 62—63 66 271
Schubert's calculus 269 271 274
Schubert, Hermann Casar Hannibal (1848-1911) 269—274 276
Schur, Issai (1875-1941) 177 210 285
Schwarz, Hermann (1843-1921) 223
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