Pisa 9 Luglio 1920 Caro Professor Apreda
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
HOMOTECIA Nº 6-15 Junio 2017
HOMOTECIA Nº 6 – Año 15 Martes, 1º de Junio de 2017 1 Entre las expectativas futuras que se tienen sobre un docente en formación, está el considerar como indicativo de que logrará realizarse como tal, cuando evidencia confianza en lo que hace, cuando cree en sí mismo y no deja que su tiempo transcurra sin pro pósitos y sin significado. Estos son los principios que deberán pautar el ejercicio de su magisterio si aspira tener éxito en su labor, lo cual mostrará mediante su afán por dar lo bueno dentro de sí, por hacer lo mejor posible, por comprometerse con el porvenir de quienes confiadamente pondrán en sus manos la misión de enseñarles. Pero la responsabilidad implícita en este proceso lo debería llevar a considerar seriamente algunos GIACINTO MORERA (1856 – 1907 ) aspectos. Obtener una acreditación para enseñar no es un pergamino para exhib ir con petulancia ante familiares y Nació el 18 de julio de 1856 en Novara, y murió el 8 de febrero de 1907, en Turín; amistades. En otras palabras, viviendo en el mundo educativo, es ambas localidades en Italia. asumir que se produjo un cambio significativo en la manera de Matemático que hizo contribuciones a la dinámica. participar en este: pasó de ser guiado para ahora guiar. No es que no necesite que se le orie nte como profesional de la docencia, esto es algo que sucederá obligatoriamente a nivel organizacional, Giacinto Morera , hijo de un acaudalado hombre de pero el hecho es que adquirirá una responsabilidad mucho mayor negocios, se graduó en ingeniería y matemáticas en la porque así como sus preceptores universitarios tuvieron el compromiso de formarlo y const ruirlo cultural y Universidad de Turín, Italia, habiendo asistido a los académicamente, él tendrá el mismo compromiso de hacerlo con cursos por Enrico D'Ovidio, Angelo Genocchi y sus discípulos, sea cual sea el nivel docente donde se desempeñe. -
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. -
Della Matematica in Italia
Intreccio Risorgimento, Unità d'Italia e geometria euclidea... il “Risorgimento” della matematica in Italia La ripresa della matematica italiana nell’Ottocento viene solitamente fatta coincidere con la data emblematica del !"#, cioè con l’unifica%ione del paese . In realtà altre date, precedenti a &uesta, sono altrettanto significative di 'aolo (uidera La ripresa della matematica italiana nell’Ottocento viene solitamente fatta coincidere con la data emblematica del 1860, cioè con l’unificazione del paese . In realtà altre date, precedenti a uesta, sono altrettanto si!nificative . "el 1839 si tenne a %isa il primo &on!resso de!li scienziati italiani, esperienza, uesta dei con!ressi, c'e prose!u( fino al 1847. + uesti appuntamenti parteciparono non solo i matematici della penisola, ma anche uelli stranieri . Il &on!resso del 1839 rappresent, un enorme passo avanti rispetto alla situazione di isolamento de!li anni precedenti. -n anno di svolta fu pure il 1850 uando si diede avvio alla pubblicazione del primo periodico di matematica Annali di scienze fisiche e matematiche / mal!rado il titolo !li articoli ri!uardavano uasi totalmente la matematica. La rivista , dal 1857, prese il nome di Annali di matematica pura ed applicata. I!nazio &ant0, fratello del pi0 celebre &esare, pubblic, nel 1844 il volume L’Italia scientifica contemporanea nel uale racco!lieva le notizie bio!rafiche e scientifiche de!li italiani attivi in campo culturale e uindi anche nella matematica. "ella prima metà dell’Ottocento la matematica in realtà era in!lese, francese o tedesca . L( erano i !randi nomi. 1a uei con!ressi e da!li +tti relativi pubblicati successivamente si evinceva c'e il settore andava risve!liandosi. -
Real Proofs of Complex Theorems (And Vice Versa)
REAL PROOFS OF COMPLEX THEOREMS (AND VICE VERSA) LAWRENCE ZALCMAN Introduction. It has become fashionable recently to argue that real and complex variables should be taught together as a unified curriculum in analysis. Now this is hardly a novel idea, as a quick perusal of Whittaker and Watson's Course of Modern Analysis or either Littlewood's or Titchmarsh's Theory of Functions (not to mention any number of cours d'analyse of the nineteenth or twentieth century) will indicate. And, while some persuasive arguments can be advanced in favor of this approach, it is by no means obvious that the advantages outweigh the disadvantages or, for that matter, that a unified treatment offers any substantial benefit to the student. What is obvious is that the two subjects do interact, and interact substantially, often in a surprising fashion. These points of tangency present an instructor the opportunity to pose (and answer) natural and important questions on basic material by applying real analysis to complex function theory, and vice versa. This article is devoted to several such applications. My own experience in teaching suggests that the subject matter discussed below is particularly well-suited for presentation in a year-long first graduate course in complex analysis. While most of this material is (perhaps by definition) well known to the experts, it is not, unfortunately, a part of the common culture of professional mathematicians. In fact, several of the examples arose in response to questions from friends and colleagues. The mathematics involved is too pretty to be the private preserve of specialists. -
"Matematica E Internazionalità Nel Carteggio Fra Guccia E Cremona E I Rendiconti Del Circolo Matematico "
"Matematica e internazionalità nel carteggio fra Guccia e Cremona e i Rendiconti del Circolo Matematico " Cinzia Cerroni Università di Palermo Giovan Battista Guccia (Palermo 1855 – 1914) Biography of Giovan Battista Guccia He graduated in Rome in 1880, where he had been a student of Luigi Cremona, but already before graduation he attended the life mathematics and published a work of geometry. In 1889 was appointed professor of higher geometry at the University of Palermo and in 1894 was appointed Ordinary. In 1884 he founded, with a personal contribution of resources and employment, the Circolo Matematico di Palermo, whose ”Rendiconti" became, a few decades later, one of the most important international mathematical journals. He it was, until his death, the director and animator. At the untimely end, in 1914, he left fifty geometric works, in the address closely cremoniano. Luigi Cremona (Pavia 1830- Roma 1903) Biography of Luigi Cremona He participated as a volunteer in the war of 1848. He entered the University of Pavia in 1849. There he was taught by Bordoni, Casorati and Brioschi. On 9 May 1853 he graduated in civil engineering at the University of Pavia. He taught for several years in Middle Schools of Pavia, Cremona and Milan. In 1860 he became professor of Higher Geometry at the University of Bologna. In October 1867, on Brioschi's recommendation, was called to Polytechnic Institute of Milan, to teach graphical statics. He received the title of Professor in 1872 while at Milan. He moved to Rome on 9 October 1873, as director of the newly established Polytechnic School of Engineering. -
Signorini Conditions for Inviscid Fluids
Signorini conditions for inviscid fluids by Yu Gu A thesis presented to the University of Waterloo in fulfillment of the thesis requirement for the degree of Master of Science in Computer Science Waterloo, Ontario, Canada, 2021 c Yu Gu 2021 Author's Declaration I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. ii Abstract In this thesis, we present a new type of boundary condition for the simulation of invis- cid fluids { the Signorini boundary condition. The new condition models the non-sticky contact of a fluid with other fluids or solids. Euler equations with Signorini boundary conditions are analyzed using variational inequalities. We derived the weak form of the PDEs, as well as an equivalent optimization based formulation. We proposed a finite el- ement method to numerically solve the Signorini problems. Our method is based on a staggered grid and a level set representation of the fluid surfaces, which may be plugged into an existing fluid solver. We implemented our algorithm and tested it with some 2D fluid simulations. Our results show that the Signorini boundary condition successfully models some interesting contact behavior of fluids, such as the hydrophobic contact and the non-coalescence phenomenon. iii Acknowledgements I would like to thank my supervisor professor Christopher Batty. During my study at University of Waterloo, I was able to freely explore any idea that interests me and always get his support and helpful guidance. -
Complex Analysis
8 Complex Representations of Functions “He is not a true man of science who does not bring some sympathy to his studies, and expect to learn something by behavior as well as by application. It is childish to rest in the discovery of mere coincidences, or of partial and extraneous laws. The study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry one. Mathematics should be mixed not only with physics but with ethics; that is mixed mathematics. The fact which interests us most is the life of the naturalist. The purest science is still biographical.” Henry David Thoreau (1817-1862) 8.1 Complex Representations of Waves We have seen that we can determine the frequency content of a function f (t) defined on an interval [0, T] by looking for the Fourier coefficients in the Fourier series expansion ¥ a0 2pnt 2pnt f (t) = + ∑ an cos + bn sin . 2 n=1 T T The coefficients take forms like 2 Z T 2pnt an = f (t) cos dt. T 0 T However, trigonometric functions can be written in a complex exponen- tial form. Using Euler’s formula, which was obtained using the Maclaurin expansion of ex in Example A.36, eiq = cos q + i sin q, the complex conjugate is found by replacing i with −i to obtain e−iq = cos q − i sin q. Adding these expressions, we have 2 cos q = eiq + e−iq. Subtracting the exponentials leads to an expression for the sine function. Thus, we have the important result that sines and cosines can be written as complex exponentials: 286 partial differential equations eiq + e−iq cos q = , 2 eiq − e−iq sin q = .( 8.1) 2i So, we can write 2pnt 1 2pint − 2pint cos = (e T + e T ). -
1 Santo Spirito in Florence: Brunelleschi, the Opera, the Quartiere and the Cantiere Submitted by Rocky Ruggiero to the Universi
Santo Spirito in Florence: Brunelleschi, the Opera, the Quartiere and the Cantiere Submitted by Rocky Ruggiero to the University of Exeter as a thesis for the degree of Doctor of Philosophy in Art History and Visual Culture In March 2017. This thesis is available for Library use on the understanding that it is copyright material and that no quotation from the thesis may be published without proper acknowledgement. I certify that all material in this thesis which is not my own work has been identified and that no material has previously been submitted and approved for the award of a degree by this or any other University. (Signature)…………………………………………………………………………….. 1 Abstract The church of Santo Spirito in Florence is universally accepted as one of the architectural works of Filippo Brunelleschi (1377-1446). It is nevertheless surprising that contrary to such buildings as San Lorenzo or the Old Sacristy, the church has received relatively little scholarly attention. Most scholarship continues to rely upon the testimony of Brunelleschi’s earliest biographer, Antonio di Tuccio Manetti, to establish an administrative and artistic initiation date for the project in the middle of Brunelleschi’s career, around 1428. Through an exhaustive analysis of the biographer’s account, and subsequent comparison to the extant documentary evidence from the period, I have been able to establish that construction actually began at a considerably later date, around 1440. It is specifically during the two and half decades after Brunelleschi’s death in 1446 that very little is known about the proceedings of the project. A largely unpublished archival source which records the machinations of the Opera (works committee) of Santo Spirito from 1446-1461, sheds considerable light on the progress of construction during this period, as well as on the role of the Opera in the realization of the church. -
Lettere Tra LUIGI CREMONA E Corrispondenti in Lingua Inglese
Lettere tra LUIGI CREMONA e corrispondenti in lingua inglese CONSERVATE PRESSO L’ISTITUTO MAZZINIANO DI GENOVA a cura di Giovanna Dimitolo Indice Presentazione della corrispondenza 1 J.W. RUSSELL 47 Criteri di edizione 1 G. SALMON 49 A.H.H. ANGLIN 2 H.J.S. SMITH 50 M.T. BEIMER 3 R.H. SMITH 55 BINNEY 4 Smithsonian Institution 57 J. BOOTH 5 W. SPOTTISWOODE 58 British Association 6 C.M. STRUTHERS 67 W.S. BURNSIDE 7 J.J. SYLVESTER 68 CAYLEY 8 M.I. TADDEUCCI 69 G. CHRYSTAL 10 P.G. TAIT 70 R.B. CLIFTON 16 W. THOMSON (Lord Kelvin) 74 R. CRAWFORD 17 R. TUCKER 75 A.J.C. CUNNINGHAM 18 G. TYSON-WOLFF 76 C.L. DODGSON (Lewis Carrol) 19 R.H. WOLFF 90 DULAN 20 J. WILSON 93 H.T. EDDY 21 Tabella: i dati delle lettere 94 S. FERGUSON 22 Biografie dei corrispondenti 97 W.T. GAIRDNER 23 Indice dei nomi citati nelle lettere 99 J.W.L. GLAISHER 29 Bibliografia 102 A.B. GRIFFITHS 30 T. HUDSON BEARE 34 W. HUGGINS 36 M. JENKINS 37 H. LAMB 38 C. LEUDESDORF 39 H.A. NEWTON 41 B. PRICE 42 E.L. RICHARDS 44 R.G. ROBSON 45 Royal Society of London 46 www.luigi-cremona.it – aprile 2017 Presentazione della corrispondenza La corrispondenza qui trascritta è composta da 115 lettere: 65, in inglese, sono di corrispondenti stranieri e 50 (48 in inglese e 2 in italiano) sono bozze delle lettere di Luigi Cremona indirizzate a stranieri. I 43 corrispondenti stranieri sono per la maggior parte inglesi, ma vi sono anche irlandesi, scozzesi, statunitensi, australiani e un tedesco, l’amico compositore Gustav Tyson-Wolff che, per un lungo periodo visse in Inghilterra. -
4 Complex Analysis
4 Complex Analysis “He is not a true man of science who does not bring some sympathy to his studies, and expect to learn something by behavior as well as by application. It is childish to rest in the discovery of mere coincidences, or of partial and extraneous laws. The study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry one. Mathematics should be mixed not only with physics but with ethics; that is mixed mathematics. The fact which interests us most is the life of the naturalist. The purest science is still biographical.” Henry David Thoreau (1817 - 1862) We have seen that we can seek the frequency content of a signal f (t) defined on an interval [0, T] by looking for the the Fourier coefficients in the Fourier series expansion In this chapter we introduce complex numbers and complex functions. We a ¥ 2pnt 2pnt will later see that the rich structure of f (t) = 0 + a cos + b sin . 2 ∑ n T n T complex functions will lead to a deeper n=1 understanding of analysis, interesting techniques for computing integrals, and The coefficients can be written as integrals such as a natural way to express analog and dis- crete signals. 2 Z T 2pnt an = f (t) cos dt. T 0 T However, we have also seen that, using Euler’s Formula, trigonometric func- tions can be written in a complex exponential form, 2pnt e2pint/T + e−2pint/T cos = . T 2 We can use these ideas to rewrite the trigonometric Fourier series as a sum over complex exponentials in the form ¥ 2pint/T f (t) = ∑ cne , n=−¥ where the Fourier coefficients now take the form Z T −2pint/T cn = f (t)e dt. -
Curriculum Vitae
Curriculum Vitae INFORMAZIONI PERSONALI Nome CINZIA Cognome CERRONI Recapiti Dipartimento di Matematica e Informatica, via archirafi 34 palermo Telefono 091-320919 091-23891092 E-mail [email protected] [email protected] FORMAZIONE TITOLI • Laurea in Matematica, indirizzo generale: algebrico-geometrico, conseguita il 13 Luglio 1995 presso l’Università degli Studi di Roma ”La Sapienza”. • Frequenza e sostenimento dell’esame finale del corso di perfezionamento Didattica della Matematica e della Matematica Applicata, presso l’Università degli Studi di Roma ”La Sapienza”, di durata annuale, anno accademico 1995/1996. • Frequenza e sostenimento dell’esame finale del corso di perfezionamento Didattica della Matematica ed i Nuovi Programmi del Biennio, presso l’Università degli Studi di Roma ”Tor Vergata”, di durata annuale, anno accademico 1997/1998. • Titolo di Dottore di Ricerca conseguito il 23-02-2000, discutendo la tesi dal titolo: Disegni divisibili e loro automorfismi. • Nel Novembre 1999 ammissione mediante concorso alla Scuola di Specializzazione per l’Insegnamento presso l’Università degli Studi di Palermo, indirizzo Fisico-Matematico-Informatico, classe di concorso Matematica e Fisica. Ha conseguito in data 24-07-2001 il titolo di specializzazione e conseguente- mente l’abilitazione all’insegnamento nella classe di concorso Matematica e Fisica. • E’ stata titolare dell’assegno di ricerca dal titolo “Azione di gruppi su strutture geometriche presso" il Dipartimento di Matematica e Applicazioni dell’Università degli Studi di Palermo, di durata quadriennale, dal 01-05-2000 al 30-04-2002 e dal 01-08-2002 al 31-07-2004. • E' ricercatore universitario da gennaio 2005 nel settore scientifico disciplinare "Matematiche Complementari" (MAT/04).