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Marchisotto E.A., Smith J.T. — Legacy of Mario Pieri in Geometry and Arithmetic
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Íàçâàíèå: Legacy of Mario Pieri in Geometry and ArithmeticÀâòîðû: Marchisotto E.A., Smith J.T. Àííîòàöèÿ: Mario Pieri (1860-1913) left a strong impact on many areas of 20th century mathematics. A prominent disciple of two Italian schools at the University of Turin, namely that of Segre (algebraic geometry) and Peano (logic), Pieri's own research influenced many 20th mathematicians in such fields as algebraic and differential geometry, inversive geometry, number theory, and logic.
ßçûê: Ðóáðèêà: Ìàòåìàòèêà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 2007Êîëè÷åñòâî ñòðàíèö: 420Äîáàâëåíà â êàòàëîã: 14.05.2008Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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Faculty ranks, Italian 11 Faerber, Karl (1863–1912) 377 438 448 455 Faifofer, Aureliano (1843–1909) 71—72 Fano, Gino (1871–1952) 36 72 80—81 87 89 94 132 337 411 416 460 Fano, Gino (1871–1952) on foundations of geometry 53 65 107—108 129 131 133 405 416 425 Fano, Gino (1871–1952), rivalry with Pieri 29 31—32 Farnese, Ranuccio I of (1569–1622) 41 Fascism, Italian See under Italy Fava, Narciso (18??–19??) 48—49 399 416 Favaro, Antonio (1847–1922) 36 398 411 Fazzi, Carlo (18??–????) 398 Feferman, Anita Burdman (19??– ) 113 347—348 416 Feferman, Solomon (1928– ) 113 347 348 416 Fehr, Henri (1870–1954) 290 382 412 442 445 Feigl, Georg (1890–1945) 404 415 417 422 426 Feigl, Herbert (1902–1988) 127 405 Feinberg, Barry (1938–) 386 416 441 Female mathematicians 40 365 Ferdinando Ii See Ferdinando Ii of Bourbon Fergola, Emanuele (1830–1915) 79 Fermat, Pierre de (1601–1665) 454 Fermi, Enrico (1901–1954) 114 Ferraris, Galileo (1847–1897) 64 416 Ferreiroe Dominguez, Jose (19??– ) 292 296 299 314—315 323 416 Fichera, Filadelfo (1850–1909) 33—34 Fichera, Gaetano (1922–1996) 115 417 Fiedler, Otto Wilhelm (1832–1912) 117 Field theory 351 Field, Euclidean 263 351 355 Field, formally real 354 Field, ordered 351 354 356 Field, Pythagorean 354 Field, real-closed 351—352 figure 164 249 Finitary methods 60—61 Finiteness See under Julius Dedekind Finzi, Bruno (1899–1974) 110 Finzi, Cesare (1836–1908) 12 417 Fiorini, Matteo (1827–1901) 8 10 28 81 398 423 Fischer, Michael J.(1942–) 352 417 Fischer-Benzon, Rudolph Jacob Diedrich von (1839–1911) 456 Fixed point 52 175—176 270 Foa, Emanuele (1892–1949) 417 Folkerts, Menso (1943–) 412 417 453 following 163 249 252. Foot 187 Footnotes ix 4 62 158 Forder, Henry George (1889–1981) 286 417 Formal sum 292 294 Formalism 307 Formally real See under field Formolario, Formulaire, formulary See under Giuseppe Peano Foundation See under axiom Foundations of geometry See under geometry Foundations of mathematics 85 116 128 298 327 343. Fouret, Georges Francois (1845–1921) 101 398 417 Fraenkel, Abraham Adolf (1891–1965) 290 304 409 417 445 France xvii—xix 18 Francesconi, Stefano (19??–) 10 63 68 70 81 101 118 417 Franz I See Franz I of Habsburg Frechet, Maurice (1878–1973) 124 398 Frege, Friedrich Ludwig Gottlob (1848–1925) 298—307 316 347 405 417 419 421 431—432 434 447 Frege, Friedrich Ludwig Gottlob (1848–1925), 1893—1903 Basic Laws 301—302 Frege, Friedrich Ludwig Gottlob (1848–1925), logic, view of 298—299 301 305 340. Frege, Friedrich Ludwig Gottlob (1848–1925), [1879] 1970 Begriffsschrift 298—299 304 Frege, Friedrich Ludwig Gottlob (1848–1925), [1884] 1953 Foundations 298 300 304—305 Freguglia, Paolo (19??–) 156 402 406 Freudenthal, Hans (1905–1990) 85 127 313 341 407 415 418 Fricke, Robert (1861–1930) 414 421 425 Friedmann, Sigismondo (1852–1917) 12 Fritsch, Rudolf (1939–) 96 418 Fubini, Guido (1879–1943) 34 67 78 81 108 114 398 450 Fujiwara, Matsusaburo (1881–1946) 423 Fulton, William (1939–) 52—53 418 Function 269 314—315 Function, application 269 273 Function, bijection 269 Function, composition 273 Function, elementary 292 299 Function, holomorphism 140 Function, injection 269 314 Function, reciprocal see function: bijection. See also under transformation Functional analysis 123 Fundamental sequence or series 254 292 Fundamental sequence or series, coherent 293 Fundamental theorem of projective geometry 121 137 207 214 336 338 380 388 Furch, Robert Otto (1894–1967) 143 Furth, Montgomery (1933–) 417 Fusionism 147—148 150 154—155 157 160 Gabelli, Aristide (1830–1891) 17 418 Galois, Evariste (1811–1832) theory 66 76 Gandino, Giovanni Battista (1827–1905) 96 Garibaldi, Giuseppe (1807–1882) 41 65 80 Gario, Paola (19??–) See Bottazzini Garosi, Gino (????–????) 444 Gauss, Carl Friedrich (1777–1855) 76 93 111 125 293—294 418 421 Gazzaniga, Paolo (1853–1930) 118 455 Geiser, Carl Friedrich (1843–1934) 100 418 Geminiani, Francesco (1687–1782) 4 General topology See under topology Genocchi, Angelo (1817–1889) 20 82 91 107 332—336 418 Gentile, Giovanni (1875–1944) 366 453. Geometrography 89 Geometry, absolute 145 151 273 287 340 Geometry, algebraic vii ix 51—53 75 84 103 107 123 406 Geometry, birational vii 52 Geometry, Cartesian 351 354 Geometry, complex projective see under projective geometry Geometry, descriptive 11 29 31 120 Geometry, diagrams in 58 Geometry, differential 53 116 120 383 Geometry, elementary see elementary geometry Geometry, elliptic 356 358 360—361 Geometry, enumerative vii 2 46—47 51—52 73 104—105 112 121 337 374 376 396 Geometry, Euclidean 145 149 151 157 161 274 349 356—357 361 368 370 see Geometry, foundations 53—54 58 84 95 106 113 117 123—126 142 147 156 161 284 337 342 350 352 354 366 368 371 379 394 Geometry, fundamentals (complementi) 22 Geometry, hyperbolic 145 356 360—361 Geometry, inversive 57 93 99 137—143 Geometry, line 134 Geometry, multidimensional 53 108 117 129 133 140 287 351 356 358 361 395 Geometry, non-Archimedean 81 117—118 Geometry, non-Euclidean 41 81 84 86 112 284 287 358 394 Geometry, projective see projective geometry Geometry, real enumerative vii Geometry, transformational 284. See also compass Gerard, Louis (18??–19??) 263 418 Gergonne, Joseph Diaz (1771–1859) 127 418 Gerhardt, Karl Immanuel (1816–1899) 427 Gericke, Helmut (1910–) 417 Gerla, Giangiacomo (????– ) 350 418 Giacardi, Livia (1952–) x 18 22 69 72 79 81—82 92 108 123 129 333 411 418 Giambelli, Giovanni Zeno (1879–1953) 42 49 286 399 418 Giampaglia, Niccol? (18??–19??) 34 40 82 393 395—396 410 419 443 Giannattasio, Antonio (19??–) 95 419 Gibbs, Josiah Willard (1839–1903) 53 84 Gibson, George Alexander (1858–1930) 447 Gigli, Duilio (1878–1933) 65 419. Gillies, Douglas Angus (????– ) 294 302 304 315 419 Gillispie, Charles Coulston (1918–) 419 Ginnasio 7 Gioeni D'Angio, Giuseppe (1747–1822) 41 Gioenia, Accademia 1 34 41. Giolitti, Giovanni (1842–1928) 26 43 Giorgio, Gino (avv. 18??–19??) 48 Giornale di matematiche See under journals Giudice, Francesco (1855–1936) 18 337 Giusfredi, Beatrice See Beatrice Campetti Givant, Steven Roger (1945?– ) x 113 156 347 350—355 357 360 369 419 452 460 Glide reflection See under reflection Goblot, Edmond (1858–1935) 147 419 Goedel, Kurt (1906–1978) 61 85 120 305 319 347 419—421 Goettingen 84 87 107 Goettingen Library 460 Goheen, Harry (19??–????) 149 Goldfarb, Warren (1949– ) 351 419 Gordan, Paul Albert (1837–1912) 112 Gow, Roderick Ian (1948–) 103 419 Grandjot Reins, Karl (1900–1979) 319 409 Graphical statics 75 99 106 Grassi-Cristaldi, Giuseppe (18??–19??) 32 37 388 441 Grassmann, Hermann Ernst (1857–1922) 83 Grassmann, Hermann Guenter (1809–1877) 82—84 295 300 408 419 421 448 Grassmann, Hermann Guenter (1809–1877) on arithmetic 294 298 305 318 Grassmann, Hermann Guenter (1809–1877) on multidimensional methods 53 334 406 433. Grassmann, Justus Guenther (1779–1852) 82 Grassmann, Robert (1815–1901) 83 Grattan-Guinness, Ivor (1941–) v x 291 294 301—302 341 364 424 Gray, Jeremy (1947–) x 59 420 430 Greatest-lower-bound principle 291—293 Greitzer, Samuel L.(1905–1988) 75 420 Griffin, Frank Loxley (1881–1969) 369—370 420 Grim 414 Grimaldi, Giovan Pietro (1860–1918) 32 37 387 389 420 Group See transformation: group Grugnetti, Lucia (19??–) 406 430 Grunsky, Helmut (1904–1986) 409 415 417 426 Guccia, Giovan Battista (1854–1936) 398 Guerraggio, Angelo (1948–) 119 414 420 460 Guether, Siegmund (1848–1923) 398 Gumbel, Emil Julius (1891–1966) 447 Gundel, Hans Georg (1912–) 420 436 Gupta, Haragauri Narayan (19–) x 313 354—357 420 Gymnasium See ginnasio Habsburg dynasty xvii 41 Habsburg, Franz I of (1768–1835) 41 Habsburg, Leopoldo I of (1747–1792) xvii 41 Habsburg, Leopoldo Ii of (1797–1870) xvii 41 Habsburg, Maria Luigia of (1791–1847) xvii 41 Half-line 146 192 200 272. Half-plane 192 202 272 Half-space 204 Half-turn See reflection: across a line Halsted, George Bruce (1853–1922) 64 162 198 263 420 422 445 Hamburger, Meyer (1838–1903) 408 433 Hamel, Georg (1877–1954) 360 420 Hamilton, William Rowan (1805–1865) 53 Harmonic conjugation 134 Harmonic points 131 142 143 Haskell, Mellen Woodman (1863–1948) 425 Haussner, Robert Karl Hermann (1863–1948) 378 438 Hawkins, Thomas (1938–) 3 133 134 421 Heath, Archie Edward (1887–1961) 84 421 Heath, Sir Thomas Little (1861–1940) 403 416 Heaviside, Oliver (1850–1925) 53 84 Hedrick, Earle Raymond (1876–1943) 134 421 425 Heegaard, Poul (1871–1948) 407 Heiberg, Johan Ludvig (1854–1928) 121 416 421 Heijenoort, Jean van (1912–1986) 307 316 407 419 421 431 Heine, Heinrich Eduard (1821–1881) 104. See also under theorem Helicoid See under surface Hellinger, Ernst David (1883–1950) 425 Helmholtz, Hermann Ludwig Ferdinand von (1821–1894) 125 Hempel, Carl Gustav (1905–1997) 452 Henkin, Leon Albert(1921–2006) 318—319 324 421 Hermann, Robert (1931–) 426 Herre, Paul (1876–1962) 47 398 Hersh, Reuben (1927–) x Hessen, Historische Kommission 460 Heyting, Arend (1898–1980) 362 Hierarchy, Kleene–Mostowski 271 Hilbert, David (1862–1943) v 2 38 41 59—61 84—85 87 104—105 118 127 271 275 300 369 378 405—406 416 418 420—422 424 433 439 460 Hilbert, David (1862–1943), [1899] 1971 Foundations of Geometry 58—59 84 106 127 143 148—151 155– 162 198 263 274 275 276—278 280 282—283 285 288 342 348 350 354 357 360 366—367 369 414 436 445 453. Hirst, Thomas Archer Hirst (1830–1892) 378 History of mathematics v vi viii 3 63 80—81 91 121 History of mathematics, Italian 80 91 114 364 406 445 Hobson, Ernest William (1856–1933) 423 Hoffman, Alan Jerome (19??–) 143 422 Holgate, Thomas Franklin (1859–1945) 445 Holocaust See World War Ii: effects on Jews Holomorphic function See under function Homogeneous coordinates See under coordinates Homography See under transformation Homothety See under transformation Hoppe, Reinhold Eduard (1816–1900) 425 432 Huber, Birkett (19??–) 52 422 Hudson, Hilda Phoebe (1881–1965) 139 422 Huntington, Edward Vermilye (1874–1952) 327 340 350 422 445 Hurwitz, Adolf (1859–1919) 84 86 105 292 455 Hyperbolic geometry See under geometry Hypermedial point 212 Hyperplane reflection See under reflection Hypersurface 374 396 Hypersurface classification 52 Hypersurface, quadric 57 Hypersymmetric points 212 Hypothesis of definition See under definition Hypothetical-deductive system v vii 54 56 58 59 126—128 141 147 151 154 157 161—162 286 290 320 322 363 369 381. Identity See under transformation Ideography See Giuseppe Peano: symbolic notation Ido 74 Illumination, constant See under curve Imaginary point 56 135 393 Implication See under symbol Incaricato See professore incidence 149 274 334 Incidence, relation between lines see under intersection. See also under postulate inclusion 165 314 349. Inconsistent collection 304 Independence of arithmetic axioms 312 318 325—326 328 Independence of axioms in general 54 59 61 131 148 277 287—288 320 342 Independence of primitive notions 95 321 Independence of Tarski's geometric axioms 356. See also under parallel postulate indirect See under isometry; motion Induction (mathematical) 60 294 298—299 313 322 343 Induction (mathematical) in Dedekind 314—315 Induction (mathematical), definition by See definition: recursive. See also minimum principle Induction (mathematical), Peano's postulate 58 308 311 315 317 323 325—326 Induction (mathematical), Pieri's postulate 310 322—323 325—326 Inequality See under symbol Inference rule 316 Infinite descent 313 Infinite set See Julius Dedekind: finiteness Infinity, point at 138—140 277 393. Ingold, Louis (1872–19??) 134 421 Ingrami, Giuseppe (18??–19??) 394—395 422 440 Injection See under function Institute See technical institute Institute for Advanced Study See under Princeton Instruction, minister of See minister of instruction Integer modulo n See under arithmetic Integral calculus See differential and integral calculus Interlingua See Giuseppe Peano: Academia Intermediaire des mathematiciens See under journals Intermediate value See under theorem Internal point to angle 204 Internal point to arc or semicircle 252 Internal point to circle 195 Internal point to segment 195 Internal point to solid 349 Internal point to sphere 194 Internal point to triangle 205 International Congress of Mathematicians, 1897 Zuerich 89 International Congress of Mathematicians, 1900 Paris 60 85 104 148 281 341—343 422 449 International Congress of Mathematicians, 1904 Heidelberg 60 422 International Congress of Mathematicians, 1908 Rome 53 328 422 International Congress of Mathematicians, 1912 Cambridge 2 47 328 423 International Congress of Mathematicians, 1928 Bologna 98 International Congress of Philosophy, 1900 Paris 1 36 74 95 102 148 153 281 302 320 341—343 381 406 412 423 International Congress of Philosophy, 1904 Rome 124
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