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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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Ïðåäìåòíûé óêàçàòåëü
Castelnuovo, Enrico (1839–1915) 71 Castelnuovo, Guido (1865–1952) 71—72 119 263 410—411 422 Castelnuovo, Guido (1865–1952), algebraic geometry 52 107—108 Castelnuovo, Guido (1865–1952), concerning Enriques 25—29 406 Castelnuovo, Guido (1865–1952), concerning Pieri 44 49 157 160 381 398 399 442 Castelnuovo, Guido (1865–1952), concerning Turin 20 22—23 36 42. Catalani, Alfredo (1854–1893) 4 Catania xviii 1 32—33 41 Catania, Sebastiano (1853–1946) 40 72 82 395—396 402 410 419 441 443 459 Catania, university 16 32—33 35 41 88 410 459 Categorical See under theory Cauchy, Augustin Louis (1789–1857) 167 410 Cauchy, Augustin Louis (1789–1857), convergence criterion 292 Caviness, Bob F.(19??–) 352 Cayley, Arthur (1821–1895) 52 125 Center of anti-inversion 238 Center of arc 252 Center of circle 173 Center of circular ordering 253 Center of homothety 233 Center of semicircle 252 Center of symmetry 175 Centered figure 160 Central point See midpoint Ceppi, Carlo Giulio (1829–1921) 332 Cesaro, Ernesto (1859–1906) 20 73 432 Chain in complex projective line 56 134—135 145 Chain in foundations of arithmetic 314 Chasles, Michel (1793–1880) 56 72—73 133 411 426 Chasles, Michel (1793–1880) on enumerative geometry 52 104 121 Chicago, University of 87 115 Chini, Mineo (1866–1933) 20 73 337 411 Chio, Felice (1813–1871) 82 Chirality 150 Chizzoni, Francesco (1848–1904) 22 32—34 40 73 384 398 459—460 Choice See under axiom Church, Alonzo (1903–1995) 116 348 402 411 Chwia Kowsky, Zygmunt (????–????) 348 452 Chwistek, Leon (1884–1944) 451 Ciaccio, Francesco Paolo (1821–1901) 28 Ciampini, Maria Grazia (1942–) x 4 6 411 459 Ciani, Edgardo (1864–1942) 12 42 74 114 408 Ciani, Edgardo (1864–1942), rivalry with Pieri 22—23 29 32 36 Ciesielski, Krzystof (1957– ) 350 411 Cigna, Gianfrancesco (1734–1790) 18 Ciliberto, Ciro (1950–) See Brigaglia Cipolla, Michele (1880–1947) 40 42 94 411 Circle in inversive geometry 57 138 141 Circle in Point and Sphere 160 173. Circular See under transformation class 163—164 249 269 Class, enumerable 254 Clausius, Rudolf Julius Emmanuel (1822–1888) 99 Clebsch, Rudolf Friedrich Alfred (1833–1872) 86 444 Coen, Salvatore (19??–) x 8 10 42 90 91 411 Coherent See under fundamental sequence Cohn-Vosson, Stefan (1902–1936) 426 Coincidence formulas 376 396 Colajanni, Napoleone (1847–1921) 43 398 Collegium 11 16 collimation 169 Collinearity, definition, using betweenness 277 361 Collinearity, definition, using equidistance 152 154 169 280 357 Collinearity, definition, using motion 146 152 272 Collineation See under transformation Colonialism See under Italy Comitato International 461 Commissione giudicatrice 16 Communication among mathematicians 1 87 98 107 121 154 Commutativity 143 226 270 294 298 Compass, geometry of 263 Complete quadrilateral 131 Completeness of real numbers 151 293. Complex of lines 377—378 Complex, analysis 125 140 142 Complex, Hirstian 378 Complex, number see under arithmetic Complexity of axiom systems 156 273—274 276—277 283 285 287—288 350 353 Concave See under angle Concorso 16 Cones, system of 377 Confocal varieties 51 conformal See under transformation Congruence in algebraic geometry 53 376—378 Congruence of angles 149 274 278 280—281 338 Congruence of figures 146 148 150 161 249 272 278 338 348 Congruence of point pairs 155 216 Congruence of segments 149 206 274 278 280—281 338 351 353 357 394 Congruence of triangles 220. See also under equidistance; postulate; symbol; transformation Congruence, SAS see under postulate Conic section 52 121 376 378 393 Conjugation See harmonic conjugation Conjunction See under symbol Consequence 267 Conservation of number 104 112 Consistency See under natural-number arithmetic; projective geometry; theory Contact point 167 200 Conte, Alberto (1942–) 81 411 427. Continuity 278 289 Continuity, Dedekind 137 141 146 149 155 273 276 336 355 Continuity, elementary 355—356 Continuity, Weierstrass 285. See also under postulate; transformation Continuous magnitude 291—292 Contro, Walter Salvator (1937–) 68 128 153—154 407 411 Control-systems theory, vii 52 Convergence criterion See under Cauchy Convex angle see under angle Convex figure 206 Coolidge, Julian Lowell (1873–1954) 133 139—140 142 412 Coordinates, Cartesian 57 276 278 282 288 354 Coordinates, homogeneous 60 93 128 277 Coordinates, pentaspherical 57 Coordinates, tetracyclic 57 140 Coplanarity 146 154 173 277 280 Corcoran, John (1937– ) 305 347 412 452 Corie, Helen Cullura (1911–2005) x Correspondence 269 Correspondence principle 73 104 121 376 Correspondence, algebraic 52 Corry, Leo (1956– ) 351 412 Courant, Richard (1888–1972) 426 Couturat, Louis (1868–1914) 1900 Paris congress 1 36 281 321 341 381 423 440 Couturat, Louis (1868–1914) 1900 Paris congress, arithmetic 307 Couturat, Louis (1868–1914) 1900 Paris congress, correspondence 388 398 428 448 Couturat, Louis (1868–1914) 1900 Paris congress, geometry 58 145 327 Couturat, Louis (1868–1914) 1900 Paris congress, Leibniz 281 343 427 Couturat, Louis (1868–1914) 1900 Paris congress, life ix 74 218 404 412 415 Couturat, Louis (1868–1914) 1900 Paris congress, logic 304 316 Covariant 200 250 Cowan, Patricia M See PEARSON Coxeter, Harold Scott MacDonald (1907–2003) x 129 131 142—143 145 361 412 Crelle, August Leopold (1780–1855) See journals: Journal fuer die reine und angewandte Mathematik Cremona, Antonio Luigi Gaudenzio Giuseppe (1830–1903) 30 33 75 412—413 420 460 Cremona, Antonio Luigi Gaudenzio Giuseppe (1830–1903), algebraic geometry 12 14—15 Cremona, Antonio Luigi Gaudenzio Giuseppe (1830–1903), Pieri's chair quest 27—29. See also under transformation Cremona, Tranquillo (1837–1878) 75 Crescenzi–Pacinotti, Istituto 8 100 Crispi, Francesco (1818–1901) 26 Croce, Benedetto (1866–1952) 90 119 366 Crowe, Michael J.(19??–) 53 413 Culmann, Karl (1821–1881) 99 Curto, Girolamo (1852–1917) 12 Curtze, Maximilian (1837–1903) 412—413 Curvature 51 375 Curve of constant illumination 51 375 Curve, algebraic vii 51 65 75 375—376 378 383 Curve, space-filling 334 Cut, Dedekind 76 293 Cutrone (Procuratore Generale comm., 18??–19??) 48 Cyclic order in Euclidean geometry 252 278 285 Cyclic order in inversive geometry 141 Cyclic order in projective geometry 128 130—131. D'Amico, Francesco (1880–19??) 40 75 396—397 410 413 D'Angi?, Giuseppe Gioeni See Gioeni D'Asburgo See Habsburg D'Ovidio, Enrico (1843–1933) 20 21 49 78—79 97 332—333 405 414 418 450 460 D'Ovidio, Enrico (1843–1933), referee for chair competitions 22—23 26 D'Ovidio, Enrico (1843–1933), reviewer 57—58 131 145—146 148 151 375 377 380—381 437—438 440 D'Ovidio, Francesco (1849–1926) 79 97 Da Collina, Mareno (1960–) x Da Collina, Mario (1921–) x Dagnino (colonello cav., 18??–19??) 48 Dal Poggetto, Maria See Maria Pieri Daniele, Pietro Ermenegildo (1875–1949) 96 413 Dante See Alighieri Darboux, Gaston (1842–1917) 121 137 139—140 413 425 Darmstaedter, Ludwig (1846–1927) 2 398 Dauben, Joseph Warren (1944– ) 296 406 413 Davini, Marianna See Marianna Luporini Davis, Philip J.(1923–) x De Franchis, Michele (1875–1946) 36 42 44 77 89—90 450 De Paolis, Riccardo (1854–1892) 12 20 65 78 129 147 375—376 395 398 403 414 437 449 De Paolis, Riccardo (1854–1892), 1892 correspondences paper See under Mario Pieri De Santis, Maria Gabriela (19??–) 11 16 414 De Stefani, Carlo (1851–1924) 70 414 Decidability of elementary geometry 351—352. See also under theory Dedekind, Caroline Marie Henriette Emperius (1799–1882) 76 84 Dedekind, Julie Marie Sophie (1825–1914) 76 Dedekind, Julius Levin Ulrich (1795–1872) 76 Dedekind, Julius Wilhelm Richard (1831–1916) 76—77 295 306 404 409 413 415 419 Dedekind, Julius Wilhelm Richard (1831–1916), continuity and real numbers 76 263 273 289 293—294 305 Dedekind, Julius Wilhelm Richard (1831–1916), finiteness definition 290 296 300 314 Dedekind, Julius Wilhelm Richard (1831–1916), logic 299 301 305 307 315—316 319 Dedekind, Julius Wilhelm Richard (1831–1916), natural numbers 76 296 300—302 304 308 313—315 317—320 322 324 326. Dedekind, Karl Adolf (1829–1909) 76 Dedekind, Richard See Julius Wilhelm Richard Dedekind Deduction See consequence Definability 331 358 360 Definiendum, definiens 265 Definition 265 302 341 358 Definition by abstraction 392 Definition, equality by see under equality Definition, explicit 265 Definition, hypothesis of 265 Definition, implicit 127 265 267—268 307—308 Definition, nominal 265 268 306—307 392 Definition, real 265 Definition, recursive 298—300 314—315 319 324 Dehn, Max (1878–1952) 96 151 380 414—415 421 434 441 454 456 Del Re, Alfonso (1859–1921) 36 42 77 430 Del Re, Alfonso (1859–1921), rivalry with Pieri 22 23 25 27—29 31 Delogu, Pietro (1857–1932) 38 387 414 441 Denmark, mathematics in 121—122 Denton, William Wells (1882–1961) 456 Depression See economic depression Desargues, Girard (1591–1661) See under theorem Descending See progression Descriptions, theory of 341 Descriptive geometry See under geometry Design courses 11 34 46 332 Determinacy See under axiom Di Borbone See Bourbon Di Farnese See Farnese Di Leonardo, Maria Vittoria (????– ) 323 325 328 414 Di Savoia , Di Savoja See Savoy Di Sieno, Simonetta (19??–) 414 431 Diagrams See under geometry Diametrically opposite points 194 Dickstein, Samuel (1851–1939) 124 398 Dieudonne, Jean Alexandre Eugene (1906–1992) 316 414—415 Differential and integral calculus 333 346 Differential and integral calculus, foundation for 76 291—293 300 335 Differential and integral calculus, multidimensional 53 397. Differential equations 301 334 Differential geometry See under geometry DIMENSION 186 277 283 287—288 334 358 360 362 394 Dini, Ulisse (1845–1918) 12 13 67 397—398 450 461 DIRECT See under isometry; motion Dirichlet, Johann Peter Gustav Lejeune (1805–1859) 76 Disjunction See under symbol Dissection 348 394 Distance 155 160 258 263 284—285 Distributivity 294 Doctorate, Italian 7 11. Donati, Luigi (1846–1932) 10 98 417 Drucker, Thomas (19??–) 415 Duflot, Jeanne (19??–) 406 Dugac, Pierre (1926–2000) 77 314 415 Duporcq, Ernest (1873–1903) 422 Duren, Peter (1935–) 415 Ecole Normale Superieure 11 Economic depression ix 366 368—370 Economic unrest 17 44 Edge of angle or triangle 163 204—205 Edwards, Harold Mortimer, Junior (1936–) 415 Ehrenfeucht, Andrzej (1932–) 113 Ehrenfeucht, Krystina Tarski (1938–) 113 352 Eisele, Carolyn (1902–2000) 74 80 415 Elementary function See under function Elementary geometry, Broden 68 153—154 407 412 436 Elementary geometry, Hilbert 58—59 148—151 274—277 288 350 421 Elementary geometry, Pieri vii 54 58 153—154 156—270 278—287 349 355—358 381 442 Elementary geometry, Tarski viii 58 288 350—356 368 394 452 Elicomozione See transformation: screw Elliptic geometry See under geometry Elliptic polar system See polar system Emch, Arnold (1871–1959) 408 415 Emilia — Romagna xvii xix 7 11 16 44 Empty set 316 Encyclopedia of Elementary Mathematics (Italian) 65 327—329 404. Encyclopedie des mathematiques pures et appliquees 46 87 430 Encyklopedie der mathematischen Wissenschaften 2 46 87 325 429 End of arc or semicircle 252 End of segment 195 Engel, Friedrich (1861–1941) 96 105—106 112 415 419 421—422 427 447 Enriques, Federigo (1871–1946) 24 42 72—73 79—80 107 398—399 410 460 Enriques, Federigo (1871–1946) on elementary geometry 123 128—129 133 153 160 278 285 287 368 415—416 Enriques, Federigo (1871–1946), correspondence with Castelnuovo 23 72 80 406 Enriques, Federigo (1871–1946), rivalry with Pieri 23 25—29 31—32 36 75 94 98 119 411. Enumerable See under class Enumerative geometry See under geometry Equality by definition 163 265 Equality in logic 316—317 336 350—352 Equality of transformations 270. See also under symbol Equidistance 153 Equidistance, quaternary 153 281 351 353—354 357—358 360—362 Equidistance, ternary vii 152—154 157 160—161 165 272 278 280 282 286 341—342 349—350 357—358 360—362 366 368 Equilaterality 362 Equinumerous sets 296 Equivalence, logical 163 348. Erba, Giuseppe Bartolomeo (1819–1895) 332 Erdelyi, Arthur (1908–1977) 114 Erlanger Program See under Klein Euclid (325?–265? B.C.) 95 102 125—126 147 149—151 288 291 338 369 416 Euclid (325?–265? B.C.) in Point and Sphere 167 175 180—183 185 187 192 199 206 209—210 222 224—228 230—233 262 263 Euclid (325?–265? B.C.), postulate see parallel postulate: Bolyai's Euclidean See under field; geometry Euler, Leonhard (1707–1783) 18 76 248 284 416 Ewald, Guenter (1929–) 143 Ewald, William Bragg (1954–) 291 409 413 416 422 445 Excess-intersection theory vii 52 Existential See under sentence exponentiation 314 318—319 Extension of predicate 298—299 302 304 Extension of segment 200 External point to circle 195 External point to sphere 194 External point to triangle 205 Faa Di Bruno, Francesco (1825–1888) 107 332 Fabbi, Angelo (19??–) 44 46 110 117 416
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