0000000000963256
AUTHOR
Aldo Brigaglia
showing 49 related works from this author
Luigi Cremona’s Years in Bologna: From Research to Social Commitment
2011
Luigi Cremona (1830–1903), unanimously considered to be the man who laid the foundations of the prestigious Italian school of Algebraic Geometry, was active at the University of Bologna from October 1860, when assigned by the Minister Terenzio Mamiani (1799–1885) to cover the Chair of Higher Geometry, until September 1867 when Francesco Brioschi (1824–1897) called him to the Politecnico di Milano. The “Bolognese years” were Cremona’s richest and most significant in terms of scientific production, and, at the same time, were the years when he puts the basis for its most important interventions in the social and political life of the “newborn” kingdom of Italy. In this article we present thes…
Remarks on the relations between the Italian and American schools of algebraic geometry in the first decades of the 20th century
2004
Abstract In this paper we give an overview of the interactions between Italian and American algebraic geometers during the first decades of the 20th century. We focus on three mathematicians—Julian L. Coolidge, Solomon Lefschetz, and Oscar Zariski—whose relations with the Italian school were quite intense. More generally, we discuss the importance of this influence in the development of algebraic geometry in the first half of the 20th century.
The Foundations of Projective Geometry in Italy from De Paolis to Pieri
2002
In this paper we examine the contributions of the Italian geometrical school to the Foundations of Projective Geometry. Starting from De Paolis' work we discuss some papers by Segre, Peano, Veronese, Fano and Pieri. In particular we try to show how a totally abstract and general point of view was clearly adopted by the Italian scholars many years before the publication of Hilbert's Grundlagen. We are particularly interested in the interrelations between the Italian and the German schools (mainly the influence of Staudt's and Klein's works). We try also to understand the reason of the steady decline of the Italian school during the twentieth century.
Segre and the Foundations of Geometry: From Complex Projective Geometry to Dual Numbers
2016
In 1886 Corrado Segre wrote to Felix Klein about his intention to study ‘geometrie projective pure’, completing and developing the work of von Staudt. He would continue this research project throughout the whole of his scientific life. In 1889, following a suggestion of Segre, Mario Pieri published his translation of the Geometrie der Lage, and from 1889 to 1890 Segre published four important papers, “Un nuovo campo di ricerche geometriche”, in which he completely developed complex projective geometry, considering new mathematical objects such as antiprojectivities and studying the Hermitian forms from a geometrical point of view with the related ‘hyperalgebraic varieties’. Segre developed …
Remarks on the Historiography of Mathematics
2021
In this paper, I examine aspects of the methodological debate that originated in 2010, when the distinguished historian of mathematics Sabetai Unguru reviewed Roshdi Rashed’s edition of the Arabic translation of Apollonius’ Conics. In his review, Unguru criticized what Rashed calls “l’usage instrumental d’une autre mathématique pour commenter une oeuvre ancienne”. I consider this debate very important and will try to place it within in the discussion of the so-called “geometric algebra” that goes back to the seventies, by tracing the contributions of the main figures who took part in it. Published Online (2021-04-30)Copyright © 2021 by Aldo Brigaglia Article PDF Link: https://jps.library.ut…
The Luigi Cremona Archive of the Mazzini Institute of Genoa
2011
Abstract Luigi Cremona (1830–1903) is unanimously considered to be the man who laid the foundations of the prestigious Italian school of Algebraic Geometry. In this paper we draw attention to the “Legato Itala Cremona Cozzolino”, which was given to the library of the Mazzini Institute, Genoa, Italy, by Cremona’s daughter, Itala, probably in 1939. This legacy, which contains over 6000 documents, mainly consisting of Cremona’s correspondence with scientific and institutional Italian interlocutors, can help us to understand the connections between the development of Italian mathematics in the second half of the XIX century and the main political issues of Italian history.
Historical Notes on Star Geometry in Mathematics, Art and Nature
2018
Gamma: “I can. Look at this Counterexample 3: a star-polyhedron I shall call it urchin. This consists of 12 star-pentagons. It has 12 vertices, 30 edges, and 12 pentagonal faces-you may check it if you like by counting. Thus the Descartes-Euler thesis is not true at all, since for this polyhedron \(V - E + F = - 6\)”. Delta: “Why do you think that your ‘urchin’ is a polyhedron?” Gamma: “Do you not see? This is a polyhedron, whose faces are the twelve star-pentagons”. Delta: “But then you do not even know what a polygon is! A star-pentagon is certainly not a polygon!”
An Overview on Italian Arithmetic after the Disquisitiones Arithmeticae
2007
Thedecades around 1800were not a period inwhich puremathematics in general, and number theory in particular, flourished in Italy, see [Bottazzini 1994]. It is significant in this respect that Joseph Louis Lagrange, whose birth and early studies took place in Torino, finally became a prominent representative of the Frenchmathematical school and that, decades later, Guglielmo Libri still spent most of his academic career in France. Thus, Gauss’s Disquisitiones Arithmeticae did not have an immediate resonance in Italian mathematical circles. Gianfrancesco Malfatti, a professor in Ferrara, already seventy years old at the time of the publication of theDisquisitiones Arithmeticae, was one of the…
The Influence of H. Grassmann on Italian Projective N-Dimensional Geometry
1996
On May 29, 1883, Corrado Segre took his doctorate in Turin (Torino), under Enrico D’Ovidio’s guidance. His thesis (Segre 1884a,b) was published one year later in the Journal of the local Academy of Science, and after a short time it became a fundamental starting point for the development of Italian projective n-dimensional geometry.
Picard and the Italian Mathematicians: The History of Three Prix Bordin
2016
It is usually said that in the transition period between 19th and 20th centuries, French scholars (mainly Picard and Humbert) as well as Italian scholars (mainly Castelnuovo, Enriques and Severi) were interested in the study of algebraic surfaces, though using different methods.
The “Circolo Matematico di Palermo” and the First World War: The crisis of scientific internationalism: a view through the unedited correspondence of…
2021
Abstract In this work the situation of the “Circolo Matematico di Palermo” between 1914 and 1928 is analyzed. It will be observed that during this time the Circolo was among the few European scientific associations with German as well as French associates. During the 1930s, the nationalist politics of Fascism and above all the racial laws dealt a deadly blow to the Circolo as an international scientific association. We will use the rich correspondence in the Circolo's archives to shed some light on this. In particular, the correspondence between M. De Franchis and E. Landau and other recently found documents will figure prominently.
Intuition and rigor in mathematics education (reaction to Tirosh and Tsamir plenary lecture)
2008
The Annali di Matematica and the Rendiconti del Circolo Matematico di Palermo: two different steps in the dissemination and progress of mathematics i…
2014
Luigi Cremona's Years in Bologna: From Research to Social Commitment
2012
Luigi Cremona (1830-1903), unanimously considered to be the man who laid the foundations of the prestigious Italian school of Algebraic Geometry, was active at the University of Bologna from October 1860,when assigned by the Minister Terenzio Mamiani (1799-1885) to cover the Chair of Higher Geometry, until September 1867 when Francesco Brioschi (1824-1897) called it to the Politecnico di Milano. The "Bolognese years" were Cremona's richest and most significant in terms of scientific production,and, at the same time, were the years when he puts the basis for its most important interventions in the social and political life of the "newborn" kingdom of Italy. In this article we present these d…
Science and Imagination: n-dimensional geometry in 19th century
2007
Picard et les géomètres italiens: histoire des deux prix Bordin
2013
Dans mon intervention je chercherai à mettre au point la question des rapports entre Picard et les géomètres algébriques italiens, en particulier Enriques, Castelnuovo et Severi, en montrant comment si, d'un côté, les thèmes de recherche se croisent, d'un autre ils ont été développés en utilisant des langages mathématiques profondément différents au point de rendre parfois impossible ou presque la compréhension réciproque. Je chercherai aussi à donner un aperçu des rapports en théorie des nombres entre Picard et Bianchi et de l'influence de Corrado Segre et Fano sur Cartan qui à son tour eut une profonde influence sur Benjamin Segre.
Apollonius de Pergé, Coniques. Tome 4: Livres VI et VII. Commentaire historique et mathématique. Édition et traduction du texte arabe by Roshdi Rashed
2012
Review del volume Apollonius de Pergé, Coniques. Tome 4: Livres VI et VII. Commentaire historique et mathématique. Édition et traduction du texte arabe by Roshdi Rashed Berlin/New York: De Gruyter, 2009.
Introduzione
2005
La Matematica per crescere. Corso di Matematica per la Scuola Secondaria di primo grado
2004
Il programma di Erlangen di Felix Klein: origini e sviluppi successivi
2013
L'opera politica di Luigi Cremona attraverso la sua corrispondenza, Prima Parte. Gli anni dell'entusiasmo e della creatività
2010
L'influenza di Peano sulla matematica palermitana
2010
Matematica per crescere
2005
La similitudine nella scuola secondaria: un percorso didattico multidisciplinare
2009
La conica per nove punti: il contributo di Beltrami. Considerazioni storiche e didattiche
L’avvento dei software di Geometria dinamica ha ridato attualità al valore didattico, ma più in generale formativo, di molti aspetti della Geometria elementare, in voga soprattutto fino ai primi anni dello scorso secolo. Tra i numerosi ed interessanti argomenti di Geometria elementare, intendiamo qui approfondire quello legato alla “conica per nove punti”, soggetto spesso “riscoperto” nel corso del tempo. Lo scopo di questo intervento è duplice: innanzitutto abbiamo provato a ricostruire il reale sviluppo storico dello studio della conica per nove punti, per la sua rilevanza sia sul piano storiografico, sia su quello didattico e divulgativo. In secondo luogo, presentiamo alcune importanti r…
Dalla riga e il compasso alla Geometria Dinamica: considerazioni comparative sull'uso degli strumenti in matematica
2010
Le scienze matematiche in Sicilia dal riformismo settecentesco all'unità nazionale
2012
Il movimento e le macro in Cabri Géomètre
2004
Luigi Cremona e la nuova scuola della nuova Italia: dagli obiettivi ai contenuti e alla loro valutazione
2006
I software geometrici e la tradizione euclidea. Rottura o continuità?
2004
Matematica, Immaginazione, e Modelli: la Comuniocazione dell'Idea di Iperspazio da Helmholtz a Flatland
2006
L'opera matematica
2004
Veronese e la teoria degli iperspazi
2004
Il Circolo Matematico che diede lustro e poi Fastidio a Palermo
2006
La mamma dell'algebra
2007
Saccheri vu par Corrado Segre en Italie et par Mansion et Bosmans en Belgique
2010
Brigaglia Aldo, Gaino Bruna, Radelet-de-Grave Patricia. Saccheri vu par Corrado Segre en Italie et par Mansion et Bosmans en Belgique. In: Bulletin de la Classe des sciences, tome 21, 2010. Le Père Henri Bosmans SJ (1852-1928) historien des mathématiques. pp. 83-104.
Mario Pieri e la Scuola di Corrado Segre
2012
Due modi diversi di essere caposcuola
2004
La Matematica per crescere. Corso di matematica per la Scuola Secondaria di primo grado. Il computer per la Geometria
2004
Da Cremona a Castelnuovo. Continuità e discontinuità nella visione della scuola.
2006
Per una biografia scientifica di Corrado Segre
2013
Dall'inversione alle trasformazioni quadratiche
2012
Dall'inversione alle trasformazioni quadratiche Aldo Brigaglia (Università di Palermo) brig@math.unipa.it La inversione (o trasformazione per raggi vettori reciproci) è da considerarsi la prima trasformazione birazionale (non lineare) entrata in modo stabile nel novero di quelle trattate dai matematici. La stessa sua naturalezza ha reso nebulosa l’origine di questo concetto. In effetti si tratta della trasformazione che, fissato un punto A e un segmento r, associa ad ogni punto B il punto B’ sulla semiretta AB tale che AB’ sia il terzo proporzionale tra AB e r. Costruzioni di punti di questo genere sono presenti assai spesso: p. es. nella proiezione stereografica, in cui r è il diametro del…
L'opera politica di Luigi Cremona attraverso la sua corrispondenza II Il crollo delle speranze e il lavoro organizzativo
2010
Emmy Noether. The mother of algebra
2011
Introduzione
2007
Il Circolo Matematico che dette lustro e poi fastidio a Palermo Seconda Parte
2006
Matematica, dimostrazione, verità: qualche considerazione
2007
Foundations of geometry in Italy before Hilbert
2005
I matematici italiani e i "misteri riemanniani". La geometria italiana della prima metà del XX secolo tra intuizione e rigore
2009
La permanenza di Riemann a Pisa, i suoi rapporti diretti con Enrico Betti e, indiretti, con Beltrami, Casorati e Cremona portarono mutamenti profondi in tutti i campi della matematica (e della filosofia della matematica) italiane. Nel mio intervento focalizzerò l’attenzione su alcuni punti, soprattutto riguardo la geometria algebrica italiana e i suoi rapporti con l’analisi complessa nei primi trenta anni del XX secolo, nonché il formarsi di un modo “italiano” di guardare alla geometria. Un esame accurato dello sviluppo storico della geometria italiana non può prescindere dall’esame degli apporti determinanti dati dalle scuole tedesca e francese allo sviluppo dell’interpretazione geometrica…