The Case of Sicily, 1880–1920 Rossana Tazzioli
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Ricci, Levi-Civita, and the Birth of General Relativity Reviewed by David E
BOOK REVIEW Einstein’s Italian Mathematicians: Ricci, Levi-Civita, and the Birth of General Relativity Reviewed by David E. Rowe Einstein’s Italian modern Italy. Nor does the author shy away from topics Mathematicians: like how Ricci developed his absolute differential calculus Ricci, Levi-Civita, and the as a generalization of E. B. Christoffel’s (1829–1900) work Birth of General Relativity on quadratic differential forms or why it served as a key By Judith R. Goodstein tool for Einstein in his efforts to generalize the special theory of relativity in order to incorporate gravitation. In This delightful little book re- like manner, she describes how Levi-Civita was able to sulted from the author’s long- give a clear geometric interpretation of curvature effects standing enchantment with Tul- in Einstein’s theory by appealing to his concept of parallel lio Levi-Civita (1873–1941), his displacement of vectors (see below). For these and other mentor Gregorio Ricci Curbastro topics, Goodstein draws on and cites a great deal of the (1853–1925), and the special AMS, 2018, 211 pp. 211 AMS, 2018, vast secondary literature produced in recent decades by the world that these and other Ital- “Einstein industry,” in particular the ongoing project that ian mathematicians occupied and helped to shape. The has produced the first 15 volumes of The Collected Papers importance of their work for Einstein’s general theory of of Albert Einstein [CPAE 1–15, 1987–2018]. relativity is one of the more celebrated topics in the history Her account proceeds in three parts spread out over of modern mathematical physics; this is told, for example, twelve chapters, the first seven of which cover episodes in [Pais 1982], the standard biography of Einstein. -
Hubert Kennedy Eight Mathematical Biographies
Hubert Kennedy Eight Mathematical Biographies Peremptory Publications San Francisco 2002 © 2002 by Hubert Kennedy Eight Mathematical Biographies is a Peremptory Publications ebook. It may be freely distributed, but no changes may be made in it. Comments and suggestions are welcome. Please write to [email protected] . 2 Contents Introduction 4 Maria Gaetana Agnesi 5 Cesare Burali-Forti 13 Alessandro Padoa 17 Marc-Antoine Parseval des Chênes 19 Giuseppe Peano 22 Mario Pieri 32 Emil Leon Post 35 Giovanni Vailati 40 3 Introduction When a Dictionary of Scientific Biography was planned, my special research interest was Giuseppe Peano, so I volunteered to write five entries on Peano and his friends/colleagues, whose work I was investigating. (The DSB was published in 14 vol- umes in 1970–76, edited by C. C. Gillispie, New York: Charles Scribner's Sons.) I was later asked to write two more entries: for Parseval and Emil Leon Post. The entry for Post had to be done very quickly, and I could not have finished it without the generous help of one of his relatives. By the time the last of these articles was published in 1976, that for Giovanni Vailati, I had come out publicly as a homosexual and was involved in the gay liberation movement. But my article on Vailati was still discreet. If I had written it later, I would probably have included evidence of his homosexuality. The seven articles for the Dictionary of Scientific Biography have a uniform appear- ance. (The exception is the article on Burali-Forti, which I present here as I originally wrote it—with reference footnotes. -
Guido Fubini-Ghiron
Intellectuals Displaced from Fascist Italy Firenze University Press 2019- Guido Fubini-Ghiron Go to personal file When he was almost 60, he was expelled from the Polytechnic University of Link to other connected Lives on the move: Turin because he was Jewish. Known as one of the sharpest and most intelligent Italian analysts, he decided to continue his brilliant work on Fubini Mario Fubini Ghiron Eugenio 1 differential geometry abroad, hoping for a better future for him and his family . (Eugene) Fubini Ghiron Gino He immediately left for Paris, and soon found himself welcomed to Princeton. His two sons, expelled in Italy at the beginning of their academic career, also found their way to the USA and stayed there. Formative years in Paris He was born in Venice on 19 January 1879 to Lazzaro Fubini, a mathematics teacher at the machinist school, and to Zoraide Torre. At only nine years old, he was enrolled at Foscarini High School in Venice, achieving, in his eight years of ginnasio and liceo [junior high school and high school], perfect grades (all 10s) in mathematics2. In 1896, at seventeen years old, he enrolled in the Facoltà di Matematica [School of Mathematics] at the Scuola normale superiore of Pisa, «where many scholars became passionate about research in geometry»3. A student of Ulisse Dini, Eugenio Bertini and, above all, Luigi Bianchi, he graduated with honors in 1900 with a thesis titled «Il parallelismo di Clifford negli spazi ellittici» [Clifford’s parallelism in elliptical spaces]4. 1 Letter of 30 October 1938 from Tullio Levi-Civita to Oswald Veblen from the Institute for Advanced Study at Princeton University, translated and reported on the Università Bocconi’s website, section Rubriche <http://matematica-old.unibocconi.it> (accessed 2 February 2019). -
Bollettino Unione Matematica Italiana
BOLLETTINO UNIONE MATEMATICA ITALIANA UMI Notizie. Bollettino dell’Unione Matematica Italiana, serie 3, volume 10 (1955), n. 2, p. 286-312. <http://www.bdim.eu/item?id=BUMI_1955_3_10_2_286_0> c Unione Matematica Italiana, 1955, diritti riservati. Articolo digitalizzato nel quadro del programma bdim (Biblioteca Digitale Italiana di Matematica) SIMAI & UMI http://www.bdim.eu/ c Unione Matematica Italiana, 1955, diritti riservati. N O T I Z I E Verbale dell Assemblea crdinaria dei Soci delll'U.M.I. döl 17 a pril e 1955 —• II 17 aprile 1955, nei locali delllstituto Matematico dell'Università di Bologna, ebbe luogo l'assemblea ordinaria dei Soci dell'U.M.I. L'oxdine ded giorno era il seguente: 1. Relazione süITattivita della Presidenza. 2. Approvazione del rendicoano finanziario deH'eseroizio 1 gennaio - 31 dicembre 1954. 3. Bilancio preventivo. 4. Scrutini délie votazioni per l'elezione dei membri deU'Uffieio di Pxe- sddenza e della Comnaissione Scientifica e proclamazione degli eletti, 5. Varie ed eventuali. La seduta ha inizio aUe are 10,30. Sono presenti i Soci: Arnerio, Angeli, AscoJi, Bononcini, Barusotti, Campedelli, Caprioli, Cassina, Catbabriga, Chisini» Conti, Dalla Valle, De Socio, Galafassi, Gherardelli, Graffi, Magenes, Mam- briani, Manaxa, Marani/Marchionna, Maroni, Matteuzzi, Muracchini, Pignedoli» Pompilj, Pratelli, Procissi, Ricci, Samsone, Tanzi, Terracini, Vaona, Varoli^ o, Villa e Villari. AU'un-ainimità il prof. Brusotti viene eletto Presidente dell'assemblea; Segxe- tario il prof. Magenes. Il Presidente propone e l'Assemblea approva cbe, nelJa discussione dell*o,d.g«, venga data la precedenza al coacnma 4. Il prof. Villa consegna al prof. Brusotti n. 279 schede di votazione per- venute alla Segreteria. -
The Oceanographic Achievements of Vito Volterra in Italy and Abroad1
Athens Journal of Mediterranean Studies- Volume 3, Issue 3 – Pages 251-266 The Oceanographic Achievements of Vito Volterra in Italy and Abroad1 By Sandra Linguerri The aim of this paper is to introduce Vito Volterra’s activity as a policy maker in the field of oceanography. In 1908, he was the promoter of the Thalassographic Committee (then in 1910 Royal Italian Thalassographic Committee), a national endeavor for marine research vis-à-vis the industrial world of fisheries, which soon internationalized. Abroad it was affiliated with the International Commission for the Scientific Exploration of the Mediterranean Sea, led by Albert I, Prince of Monaco (1919-1922) and then by Vito Volterra himself (1923-1928).1 Keywords: History, International Commission for the Scientific Exploration of the Mediterranean Sea, Oceanography, Royal Italian Thalassographic Committee, Vito Volterra. Vito Volterra and the Royal Italian Thalassographic Committee Vito Volterra (1860-1940) (Goodstein 2007, Guerraggio and Paoloni 2013, Simili and Paoloni 2008) is generally considered one of the greatest mathematicians of his time. His most important contributions were in functional analysis, mathematical ph‟ scientific activities, rather it will focus on his contribution to talassographic (or oceanographic) studies, and especially on the creation of the Royal Italian Talassographic Committee (Linguerri 2005, Ead 2014). In 1900, after teaching in Pisa and Turin, Volterra was offered a chair in mathematical physics at the University of Rome, where he was invited to give the inaugural lecture for the new academic year entitled Sui tentativi di applicazione delle matematiche alle scienze biologiche e sociali (On the attempts to apply mathematics to the biological and social sciences), which demonstrated his great interest in the application of mathematics to biological sciences and to economic research. -
The True Story Behind Frattini's Argument *
Advances in Group Theory and Applications c 2017 AGTA - www.advgrouptheory.com/journal 3 (2017), pp. 117–129 ISSN: 2499-1287 DOI: 10.4399/97888255036928 The True Story Behind Frattini’s Argument * M. Brescia — F. de Giovanni — M. Trombetti (Received Apr. 12, 2017 — Communicated by Dikran Dikranjan) Mathematics Subject Classification (2010): 01A55, 20D25 Keywords: Frattini’s Argument; Alfredo Capelli In his memoir [7] Intorno alla generazione dei gruppi di operazioni (1885), Giovanni Frattini (1852–1925) introduced the idea of what is now known as a non-generating element of a (finite) group. He proved that the set of all non- generating elements of a group G constitutes a normal subgroup of G, which he named Φ. This subgroup is today called the Frattini sub- group of G. The earliest occurrence of this de- nomination in literature traces back to a pa- per of Reinhold Baer [1] submitted on Sep- tember 5th, 1952. Frattini went on proving that Φ is nilpotent by making use of an in- sightful, renowned argument, the intellectual ownership of which is the subject of this note. We are talking about what is nowadays known as Frattini’s Argument. Giovanni Frattini was born in Rome on January 8th, 1852 to Gabrie- le and Maddalena Cenciarelli. In 1869, he enrolled for Mathematics at the University of Rome, where he graduated in 1875 under the * The authors are members of GNSAGA (INdAM), and work within the ADV-AGTA project 118 M. Brescia – F. de Giovanni – M. Trombetti supervision of Giuseppe Battaglini (1826–1894), together with other up-and-coming mathematicians such as Alfredo Capelli. -
Algebraic Research Schools in Italy at the Turn of the Twentieth Century: the Cases of Rome, Palermo, and Pisa
CORE Metadata, citation and similar papers at core.ac.uk Provided by Elsevier - Publisher Connector Historia Mathematica 31 (2004) 296–309 www.elsevier.com/locate/hm Algebraic research schools in Italy at the turn of the twentieth century: the cases of Rome, Palermo, and Pisa Laura Martini Department of Mathematics, University of Virginia, PO Box 400137, Charlottesville, VA 22904-4137, USA Available online 28 January 2004 Abstract The second half of the 19th century witnessed a sudden and sustained revival of Italian mathematical research, especially in the period following the political unification of the country. Up to the end of the 19th century and well into the 20th, Italian professors—in a variety of institutional settings and with a variety of research interests— trained a number of young scholars in algebraic areas, in particular. Giuseppe Battaglini (1826–1892), Francesco Gerbaldi (1858–1934), and Luigi Bianchi (1856–1928) defined three key venues for the promotion of algebraic research in Rome, Palermo, and Pisa, respectively. This paper will consider the notion of “research school” as an analytic tool and will explore the extent to which loci of algebraic studies in Italy from the second half of the 19th century through the opening decades of the 20th century can be considered as mathematical research schools. 2003 Elsevier Inc. All rights reserved. Sommario Nella seconda metà dell’Ottocento, specialmente dopo l’unificazione del paese, la ricerca matematica in Italia conobbe una vigorosa rinascita. Durante gli ultimi decenni del diciannovesimo secolo e i primi del ventesimo, matematici italiani appartenenti a diverse istituzioni e con interessi in diversi campi di ricerca, formarono giovani studiosi in vari settori dell’algebra. -
Chapter 5 Product Measures
Chapter 5 Product Measures Lebesgue measure on R generalizes the notion of the length of an interval. In this chapter, we see how two-dimensional Lebesgue measure on R2 generalizes the notion of the area of a rectangle. More generally, we construct new measures that are the products of two measures. Once these new measures have been constructed, the question arises of how to compute integrals with respect to these new measures. Beautiful theorems proved in the first decade of the twentieth century allow us to compute integrals with respect to product measures as iterated integrals involving the two measures that produced the product. Furthermore, we will see that under reasonable conditions we can switch the order of an iterated integral. Main building of Scuola Normale Superiore di Pisa, the university in Pisa, Italy, where Guido Fubini (1879–1943) received his PhD in 1900. In 1907 Fubini proved that under reasonable conditions, an integral with respect to a product measure can be computed as an iterated integral and that the order of integration can be switched. Leonida Tonelli (1885–1943) also taught for many years in Pisa; he also proved a crucial theorem about interchanging the order of integration in an iterated integral. CC-BY-SA Lucarelli © Sheldon Axler 2020 S. Axler, Measure, Integration & Real Analysis, Graduate Texts 116 in Mathematics 282, https://doi.org/10.1007/978-3-030-33143-6_5 Section 5A Products of Measure Spaces 117 5A Products of Measure Spaces Products of s-Algebras Our first step in constructing product measures is to construct the product of two s-algebras. -
Italian Jews and the Left by Giorgio Israel
Volume 1, Issue 2 (April 2007 / Iyar 5767) Article 4/9 Italian Jews and the Left By Giorgio Israel Abstract: Upon Emancipation, Italian Jewry experienced increasing assimilation. After the trauma of Fascism and the Shoah, Italian Jews tilted mainly to the Left in the postwar period. The Six Day War and Communist hostility to Israel, the Italian Left's support of "Zionism is Racism," pro Palestinianism, a growth in antisemitism due to Islamic propaganda, all gradually led to the detachment of Italian Jewry from the Left, the emergence of a CenterRight internal governance and support for the fiveyear Berlusconi rule. No dramatic effects have occurred, however, and the concerns of Italian Jewry today focus rather on the international situation and problems in Europe as a whole. Italian Jewry has always represented a peculiar phenomenon within world Jewry. There is no doubt that this peculiarity is due to the presence of the Catholic Church. The historical condition of the Roman Jewish community, accurately described by Leon Poliakov in his The History of Antisemitism,[1] provides an emblematic representation of this peculiarity. The Roman Jewish community is without doubt the only one in the world that has lived in the same place ever since the time of Julius Caesar and has enjoyed a high degree of ethnic continuity. It was able to perpetuate itself while maintaining very few contacts with the outside world. It was never removed or expelled, but maintained in a condition of segregation, humiliation and degradation in order to show the world a concrete example of the wretched state to which all those who denied the godliness of Jesus Christ would be reduced. -
Giuseppe Tallini (1930-1995)
Bollettino U. M. I. (8)1-B (1998), 451-474 — GIUSEPPE TALLINI (1930-1995) La vita. Personalità scientifica dinamica e prorompente, "iuseppe Tallini verrà certamente ricordato nella storia della matematica di questo secolo per aver dato un impulso decisi- vo allo sviluppo della combinatoria in Italia, continuando insieme ad Adriano Barlotti a promuovere quella scuola di geometria combinatoria, fondata da Beniamino Segre, che , oggi una delle più affermate in campo internazionale. Fondamentali sono i suoi risultati riguardanti gli archi e le calotte in spazi di Galois, la caratterizzazione grafica di varietà algebriche notevoli, le strutture combinatorie d’in- cidenza (matroidi, spazi lineari e semilineari, spazi polari), la teoria dei disegni combina- tori e dei sistemi di *teiner e quella dei codici correttori. Grande ammiratore della cultura classica greco-romana, della cui visione della vita si sentiva profondamente partecipe, ha saputo coniugare una intensissima attività scienti- fica, che lo assorbiva &#asi freneticamente, a omenti di sapiente otium, nei quali si de- dicava preferibilmente a quelle letture di storia antica che egli prediligeva sopra ogni al- tre. Di temperamento naturalmente cordiale ed aperto, era dotato di )randissimo calore umano ed amava la vita in tutte le sue manifestazioni. Nel 1993 era stato colpito da una sclerosi laterale amiotrofica, che lo aveva paralizza- to e poi, negli ultimi mesi del 1994, reso afono. La malattia, che lo condurrà alla morte il 4 aprile 1995 e della cui gravità era consapevole, non ne ha mai fiaccato lo spirito, la luci- dità della mente, la capacità di comunicare idee matematiche. Con grande serenità aveva accettato la crescente enomazione fisica, continuando il lavoro di sempre, in ciò anche sostenuto dal premuroso affetto dei figli e della moglie, che gli è stata amorevolmente %i- cina con dedizione grandissima. -
Toward a Scientific and Personal Biography of Tullio Levi-Civita (1873-1941) Pietro Nastasi, Rossana Tazzioli
Toward a scientific and personal biography of Tullio Levi-Civita (1873-1941) Pietro Nastasi, Rossana Tazzioli To cite this version: Pietro Nastasi, Rossana Tazzioli. Toward a scientific and personal biography of Tullio Levi-Civita (1873-1941). Historia Mathematica, Elsevier, 2005, 32 (2), pp.203-236. 10.1016/j.hm.2004.03.003. hal-01459031 HAL Id: hal-01459031 https://hal.archives-ouvertes.fr/hal-01459031 Submitted on 7 Feb 2017 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Towards a Scientific and Personal Biography of Tullio Levi-Civita (1873-1941) Pietro Nastasi, Dipartimento di Matematica e Applicazioni, Università di Palermo Rossana Tazzioli, Dipartimento di Matematica e Informatica, Università di Catania Abstract Tullio Levi-Civita was one of the most important Italian mathematicians in the early part of the 20th century, contributing significantly to a number of research fields in mathematics and physics. In addition, he was involved in the social and political life of his time and suffered severe political and racial persecution during the period of Fascism. He tried repeatedly and in several cases successfully to help colleagues and students who were victims of anti-Semitism in Italy and Germany. -
Bianchi, Luigi.Pdf 141KB
Centro Archivistico BIANCHI, LUIGI Elenco sommario del fondo 1 Indice generale Introduzione.....................................................................................................................................................2 Carteggio (1880-1923)......................................................................................................................................2 Carteggio Saverio Bianchi (1936 – 1954; 1975)................................................................................................4 Manoscritti didattico scientifici........................................................................................................................5 Fascicoli............................................................................................................................................................6 Introduzione Il fondo è pervenuto alla Biblioteca della Scuola Normale Superiore di Pisa per donazione degli eredi nel 1994-1995; si tratta probabilmente solo di una parte della documentazione raccolta da Bianchi negli anni di ricerca e insegnamento. Il fondo era corredato di un elenco dattiloscritto a cura di Paola Piazza, in cui venivano indicati sommariamente i contenuti delle cartelle. Il materiale è stato ordinato e descritto da Sara Moscardini e Manuel Rossi nel giugno 2014. Carteggio (1880-1923) La corrispondenza presenta oltre 100 lettere indirizzate a L. B. dal 1880 al 1923, da illustri studiosi del XIX-XX secolo come Eugenio Beltrami, Enrico Betti, A. von Brill, Francesco Brioschi,