Catalogo Dei Testi Di Scienza Delle Costruzioni
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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. -
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. -
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 ). -
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. -
Sunti Delle Conferenze
Sunti delle Conferenze Analisi complessa a Pisa, 1860-1900 UMBERTO BOTTAZZINI (Università di Milano) Nel 1859 Enrico Betti inaugura gli studi di analisi complessa a Pisa (e di fatto in Italia) pubblicando la traduzione italiana della Inauguraldissertation (1851) di Riemann. L’incontro con il grande matematico conosciuto l’anno prima a Göttingen segna una svolta nella carriera scientifica di Betti, che fa dell’analisi complessa l’oggetto delle sue lezioni e delle sue pubblicazioni (1860/61 e 1862) che incontrano l’approvazione di Riemann, durante il suo soggiorno in Italia. Nella conferenza saranno discussi i contributi all’analisi complessa di Betti, Dini e Bianchi. Ulisse Dini raccolse l’eredità del maestro dapprima in articoli (1870/71, 1871/73, 1881) che suscitano l’interesse della comunità internazionale, e poi in lezioni litografate (1890) che hanno offerto a Luigi Bianchi il modello e il riferimento iniziale per le sue celebri lezioni sulla teoria delle funzioni di variabile complessa in due volumi, apparse prima in versione litografata (1898/99) e poi a stampa in diverse edizioni. Il periodo romano di Luigi Cremona: tra Statica Grafica e Geometria Algebrica, la Biblioteca Nazionale, i Lincei, il Senato ALDO BRIGAGLIA (Università di Palermo) Il periodo romano (1873 – 1903) è considerato il meno produttivo, dal punto di vista scientifico, della vita di Luigi Cremona. Un periodo quasi unicamente dedicato agli aspetti politico – istituzionali della sua attività. Senza voler capovolgere questo giudizio consolidato, anzi sottolineando -
Levi-Civita,Tullio Francesco Dell’Isola, Emilio Barchiesi, Luca Placidi
Levi-Civita,Tullio Francesco Dell’Isola, Emilio Barchiesi, Luca Placidi To cite this version: Francesco Dell’Isola, Emilio Barchiesi, Luca Placidi. Levi-Civita,Tullio. Encyclopedia of Continuum Mechanics, 2019, 11 p. hal-02099661 HAL Id: hal-02099661 https://hal.archives-ouvertes.fr/hal-02099661 Submitted on 15 Apr 2019 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. 2 Levi-Civita, Tullio dating back to the fourteenth century. Giacomo the publication of one of his best known results Levi-Civita had also been a counselor of the in the field of analytical mechanics. We refer to municipality of Padua from 1877, the mayor of the Memoir “On the transformations of dynamic Padua between 1904 and 1910, and a senator equations” which, due to the importance of the of the Kingdom of Italy since 1908. A bust of results and the originality of the proceedings, as him by the Paduan sculptor Augusto Sanavio well as to its possible further developments, has has been placed in the council chamber of the remained a classical paper. In 1897, being only municipality of Padua after his death. According 24, Levi-Civita became in Padua full professor to Ugo Amaldi, Tullio Levi-Civita drew from in rational mechanics, a discipline to which he his father firmness of character, tenacity, and his made important scientific original contributions. -
Atlas on Our Shoulders
BOOKS & ARTS NATURE|Vol 449|27 September 2007 Atlas on our shoulders The Body has a Mind of its Own: How They may therefore be part of the neural basis Body Maps in Your Brain HelpYou Do of intention, promoting learning by imitation. (Almost) Everything Better The authors explain how mirror neurons could by Sandra Blakeslee and Matthew participate in a wide range of primate brain Blakeslee functions, for example in shared perception Random House: 2007. 240 pp. $24.95 and empathy, cultural transmission of knowl- edge, and language. At present we have few, if any, clues as to how mirror neurons compute or Edvard I. Moser how they interact with other types of neuron, Like an atlas, the brain contains maps of the but the Blakeslees draw our attention to social internal and external world, each for a dis- neuroscience as an emerging discipline. tinct purpose. These maps faithfully inform It is important to keep in mind that the map the brain about the structure of its inputs. The concept is not explanatory. We need to define JOPLING/WHITE CUBE & J. OF THE ARTIST COURTESY body surface, for example, is mapped in terms what a map is to understand how perception of its spatial organization, with the same neural and cognition are influenced by the spatial arrangement flashed through successive levels arrangement of neural representations. The of processing — from the sensory receptors in classical maps of the sensory cortices are topo- the periphery to the thalamus and cortex in graphical, with neighbouring groups of neurons the brain. Meticulous mapping also takes into Sculptor Antony Gormley also explores how the representing neighbouring parts of the sensory account the hat on your head and the golf club body relates to surrounding space. -
Considerations Based on His Correspondence Rossana Tazzioli
New Perspectives on Beltrami’s Life and Work - Considerations Based on his Correspondence Rossana Tazzioli To cite this version: Rossana Tazzioli. New Perspectives on Beltrami’s Life and Work - Considerations Based on his Correspondence. Mathematicians in Bologna, 1861-1960, 2012, 10.1007/978-3-0348-0227-7_21. hal- 01436965 HAL Id: hal-01436965 https://hal.archives-ouvertes.fr/hal-01436965 Submitted on 22 Jan 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. New Perspectives on Beltrami’s Life and Work – Considerations based on his Correspondence Rossana Tazzioli U.F.R. de Math´ematiques, Laboratoire Paul Painlev´eU.M.R. CNRS 8524 Universit´ede Sciences et Technologie Lille 1 e-mail:rossana.tazzioliatuniv–lille1.fr Abstract Eugenio Beltrami was a prominent figure of 19th century Italian mathematics. He was also involved in the social, cultural and political events of his country. This paper aims at throwing fresh light on some aspects of Beltrami’s life and work by using his personal correspondence. Unfortunately, Beltrami’s Archive has never been found, and only letters by Beltrami - or in a few cases some drafts addressed to him - are available. -
Mathematik Für Physiker
Mathematik f¨urPhysiker III Michael Dreher Fachbereich f¨urMathematik und Statistik Universit¨atKonstanz Studienjahr 2012/13 2 Acknowledgements: These are the lecture notes to a third semester course on Mathematics for Physicists, and the author is indebted to Nicola Wurz, Maria Lindauer, Florian Franz, Philip Lindner, Simon Sch¨uz,Samuel Greiner, Christian Schoder, Pascal Gumbsheimer for remarks which helped to improve the presentation, and to the audience for appropriating this huge amount of knowledge. Some Legalese: This work is licensed under the Creative Commons Attribution { Noncommercial { No Derivative Works 3.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-nd/3.0/ or send a letter to Creative Commons, 171 Second Street, Suite 300, San Francisco, California, 94105, USA. I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the sea{shore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me. Sir Isaac Newton (1642 { 1727) 1 1As quoted in [3]. 4 Contents I Ordinary Differential Equations7 1 Existence and Uniqueness Results9 1.1 An Introductory Example....................................9 1.2 General Considerations...................................... 12 1.3 The Theorem of Picard and Lindelof¨ ............................ 19 1.4 Comparison Principles...................................... 23 2 Special Solution Methods 25 2.1 Equations with Separable Variables............................... 25 2.2 Substitution and Homogeneous Differential Equations.................... 27 2.3 Power Series Expansions (Or How to Determine the Sound of a Drum).......... -
Unione Matematica Italiana 1921 - 2012
Unione Matematica Italiana 1921 - 2012 Unione Matematica Italiana Soggetto produttore Unione Matematica Italiana Estremi cronologici 1921 - Tipologia Ente Tipologia ente ente di cultura, ricreativo, sportivo, turistico Profilo storico / Biografia La fondazione dell’Unione Matematica Italiana è strettamente legata alla costituzione del Consiglio Internazionale delle Ricerche e al voto da questo formulato a Bruxelles nel luglio 1919 nel quale si auspicava il sorgere di «Unioni Internazionali» per settori scientifici, ai quali avrebbero dovuto aderire dei «Comitati nazionali» costituiti «ad iniziativa delle Accademie nazionali scientifiche o dei Consigli Nazionali delle Ricerche». In Italia, non essendo ancora stato costituito il C.N.R., fu l’Accademia dei Lincei, nella persona del suo presidente Vito Volterra, a farsi promotrice della costituzione dei Comitati nazionali. Per il Comitato della matematica Vito Volterra propose nel 1920, insieme a un gruppo di matematici, fra cui Luigi Bianchi, Pietro Burgatti, Roberto Marcolongo, Carlo Somigliana e Giovanni Vacca, la costituzione di una Unione Matematica Italiana, redigendo un primo schema di programma che poneva fra gli scopi dell’Unione l’incoraggiamento alla scienza pura, il ravvicinamento tra la matematica pura e le altre scienze, l’orientamento ed il progresso dell’insegnamento e l’organizzazione, la preparazione e la partecipazione a congressi nazionali ed internazionali. La proposta fu accolta dall’Accademia dei Lincei nel marzo 1921 e quale presidente dell’Unione venne designato Salvatore Pincherle, illustre matematico dell'Università di Bologna. L’Unione Matematica Italiana (UMI) nacque ufficialmente il 31 marzo 1922 con la diffusione da parte di Salvatore Pincherle di una lettera con la quale presentava il programma della Società invitando i destinatari ad aderire all’iniziativa. -
Green's Function in Some Contributions of 19Th Century
Historia Mathematica 28 (2001), 232–252 doi:10.1006/hmat.2001.2315, available online at http://www.idealibrary.com on Green’s Function in Some Contributions CORE of 19th Century Mathematicians Metadata, citation and similar papers at core.ac.uk Provided by Elsevier - Publisher Connector Rossana Tazzioli Dipartimento di Matematica e Informatica, Universita` di Catania, Viale A. Doria, 6, 95125 Catania, Italy Many questions in mathematical physics lead to a solution in terms of a harmonic function in a closed region with given continuous boundary values. This problem is known as Dirichlet’s problem, whose solution is based on an existence principle—the so-called Dirichlet’s principle. However, in the second half of the 19th century many mathematicians doubted the validity of Dirichlet’s principle. They used direct methods in order to overcome the difficulties arising from this principle and also to find an explicit solution of the Dirichlet problem at issue. Many years before, one of these methods had been developed by Green in 1828, which consists in finding a function—called a Green’s function—satisfying certain conditions and appearing in the analytical expression of the solution of the given Dirichlet problem. Helmholtz, Riemann, Lipschitz, Carl and Franz Neumann, and Betti deduced functions similar to Green’s function in order to solve problems in acoustics, electrodynamics, magnetism, theory of heat, and elasticity. C 2001 Academic Press Molte questioni fisico matematiche conducono a una soluzione in termini di una funzione armonica in una regione chiusa con dati valori continui al contorno. Questo problema `enoto come problema di Dirichlet, la cui soluzione si basa su un principio di esistenza, il cosiddetto principio di Dirichlet. -
Gli Archivi Di Corrado Segre Presso L'università Di Torino
Gli Archivi di Corrado Segre presso l’Università di Torino LIVIA GIACARDI, ERIKA LUCIANO, CHIARA PIZZARELLI, CLARA SILVIA ROERO Alla scomparsa di Corrado Segre nel Maggio 1924, sua moglie Olga Michelli donò alla Biblioteca Speciale di Matematica della Facoltà di Scienze Matematiche Fisiche e Naturali dell’Università di Torino la sua raccolta di opuscoli, estratti e ritratti1, completando il lascito nel Marzo 1926, con la donazione dei celebri quaranta Quaderni delle sue lezioni e con una collezione di manoscritti e documenti scientifici del marito 2. In occasione delle Celebrazioni per il 150° anniversario della nascita di Segre3, nel 2013 Paola Gario (Università Statale di Milano) consegnò alla medesima Biblioteca Speciale di Matematica trentaquattro tavole di Geometria Proiettiva e Descrittiva, che Segre aveva realizzato nel 1878-79, all’epoca dei suoi studi superiori presso l’Istituto tecnico ‘G. Sommeiller’ di Torino. Gario aveva ricevuto tali tavole dagli eredi di Segre nel 1989. Nel Gennaio 2014, e successivamente nell’ottobre 2015, l’Università di Torino ricevette la donazione di una ricca raccolta di tavole, corrispondenze, necrologi e documenti di differente tipologia, già custoditi ad Ancona dai discendenti di Segre: i pronipoti Silvano e Daniele Fuà4. Si fornisce qui una preliminare ricognizione del complesso di questi fondi d’archivio, posticipandone l’analisi storiografica alla conclusione dell’opera di catalogazione e di schedatura. Gli Archivi Segre possono essere articolati nelle seguenti dieci Serie. UTo-ACS Università di Torino, Archivi di Corrado Segre I. Documenti di Carriera - Corrispondenza istituzionale - Attestati e lettere di Accademie e Società scientifiche - Premi di studio, diplomi e onorificenze II. Documenti di Famiglia - Indirizzario di Segre - Lettere di Segre a O.