http://hdl.handle.net/2117/3790 Wed, 19 Jun 2013 19:19:48 GMT 2013-06-19T19:19:48Z webmaster.bupc@upc.edu Universitat Politècnica de Catalunya. Servei de Biblioteques i Documentació no http://hdl.handle.net/2117/17933 Title: The role of symbolic language in the transformation of mathematics Authors: Massa Esteve, Maria Rosa Abstract: One important factor to be considered in the process of algebrization of mathematics is the emergence of symbolic language in the seventeenth century. Focussing on three works, In Artem analyticen Isagoge (1591) by François Viète (1540-1603); Cursus Mathematicus (1634-1637-1642) by Pierre Hérigone (1580-1643) and Geometriae Speciosae Elementa (1659) by Pietro Mengoli (1626/7-1686), in this article we analyse two relevant aspects of symbolic language: the significance of the notation in the symbolic language and the role of Hérigone’s new symbolic method. This analysis allows us to better understand the role played by this circulation of ideas in the formative process of symbolic language in mathematics. Fri, 22 Feb 2013 11:55:41 GMT http://hdl.handle.net/2117/17933 2013-02-22T11:55:41Z Massa Esteve, Maria Rosa no One important factor to be considered in the process of algebrization of mathematics is the emergence of symbolic language in the seventeenth century. Focussing on three works, In Artem analyticen Isagoge (1591) by François Viète (1540-1603); Cursus Mathematicus (1634-1637-1642) by Pierre Hérigone (1580-1643) and Geometriae Speciosae Elementa (1659) by Pietro Mengoli (1626/7-1686), in this article we analyse two relevant aspects of symbolic language: the significance of the notation in the symbolic language and the role of Hérigone’s new symbolic method. This analysis allows us to better understand the role played by this circulation of ideas in the formative process of symbolic language in mathematics. http://hdl.handle.net/2117/17827 Title: The Foundation of the Sciences Section of the Institute for Catalan Studies (1911) and its early years Authors: Roca Rosell, Antoni Maria Claret; Camarasa, J.M. Mon, 18 Feb 2013 12:50:36 GMT http://hdl.handle.net/2117/17827 2013-02-18T12:50:36Z Roca Rosell, Antoni Maria Claret; Camarasa, J.M. no http://hdl.handle.net/2117/17777 Title: La introducció de la triangulació com a mètode per a “mesurar” el planeta Terra Authors: Puig Pla, Carles; Guevara Casanova, Iolanda Abstract: La determinació de la forma i dimensions de la Terra va trobar en la triangulació un mètode pertinent que va establir les bases de la geodèsia. En aquest article s’incideix en les aportacions dels antics grecs, les d’alguns astrònoms islàmics i les dels europeus, com ara Jeroni Munyós, a partir del Renaixement. S’analitza el mètode de Snellius, les mesures de Picard, la polèmica sobre la forma de la Terra del segle xviii i les expedicions geodèsiques que incidiren en la transferència de coneixement a Espanya i Catalunya. Jules Verne divulgà la triangulació a través de la literatura. Fri, 15 Feb 2013 08:33:37 GMT http://hdl.handle.net/2117/17777 2013-02-15T08:33:37Z Puig Pla, Carles; Guevara Casanova, Iolanda no La determinació de la forma i dimensions de la Terra va trobar en la triangulació un mètode pertinent que va establir les bases de la geodèsia. En aquest article s’incideix en les aportacions dels antics grecs, les d’alguns astrònoms islàmics i les dels europeus, com ara Jeroni Munyós, a partir del Renaixement. S’analitza el mètode de Snellius, les mesures de Picard, la polèmica sobre la forma de la Terra del segle xviii i les expedicions geodèsiques que incidiren en la transferència de coneixement a Espanya i Catalunya. Jules Verne divulgà la triangulació a través de la literatura. http://hdl.handle.net/2117/17629 Title: Narcís Monturiol i la seva Idea General del Universo (1874) Authors: Roca Rosell, Antoni Maria Claret Abstract: En els darrers anys de la seva vida, Narcís Monturiol actuà com a dirigent republicà, no solament participant en la formació de noves organitzacions, sinó també en la tasca de difondre una ideologia progressista. En la conferència que analitzem en aquest article, Monturiol oferí la perspectiva de què es disposava a la seva època sobre la constitució de l’Univers. Com ell mateix va dir, es tractava de fer veure que la ciència era una de les principals eines de transformació social. Mon, 11 Feb 2013 12:56:56 GMT http://hdl.handle.net/2117/17629 2013-02-11T12:56:56Z Roca Rosell, Antoni Maria Claret no En els darrers anys de la seva vida, Narcís Monturiol actuà com a dirigent republicà, no solament participant en la formació de noves organitzacions, sinó també en la tasca de difondre una ideologia progressista. En la conferència que analitzem en aquest article, Monturiol oferí la perspectiva de què es disposava a la seva època sobre la constitució de l’Univers. Com ell mateix va dir, es tractava de fer veure que la ciència era una de les principals eines de transformació social. http://hdl.handle.net/2117/16385 Title: El testament acadèmic de Josep Oriol Bernadet (1811-1860) Authors: Barca Salom, Francesc Xavier Abstract: L’u de març de 1860, Josep Oriol Bernadet va llegir de torn una memòria a la Reial Acadèmia de Ciències i Arts de Barcelona titulada Sobre los sistemas generales de enseñanza en la qual es plantejava de donar resposta a unes preguntes que giraven al voltant de tres temes principals, que afectaven l’ensenyament secundari i professional en aquell moment: quines qualitats havia de tenir un professor? Quines eren les facultats que calia potenciar en l’alumne? I quines eren les necessitats requerides per dur a terme un bon sistema d’ensenyament? La vigència dels continguts i el fet que aquest text es conservi en forma manuscrita i no hagi estat publicat encara, malgrat que des de la seva presentació hagin transcorregut 150 anys, ens ha animat a presentar-lo en aquest article. A més, el fet que l’autor morís el 30 de juliol d’aquell mateix any confereix a aquest manuscrit el valor de ser gairebé el document de les darreres voluntats de l’autor com a docent. Per això hem pensat que ben bé podria ser considerat com el seu testament acadèmic. Tue, 31 Jul 2012 11:33:50 GMT http://hdl.handle.net/2117/16385 2012-07-31T11:33:50Z Barca Salom, Francesc Xavier no L’u de març de 1860, Josep Oriol Bernadet va llegir de torn una memòria a la Reial Acadèmia de Ciències i Arts de Barcelona titulada Sobre los sistemas generales de enseñanza en la qual es plantejava de donar resposta a unes preguntes que giraven al voltant de tres temes principals, que afectaven l’ensenyament secundari i professional en aquell moment: quines qualitats havia de tenir un professor? Quines eren les facultats que calia potenciar en l’alumne? I quines eren les necessitats requerides per dur a terme un bon sistema d’ensenyament? La vigència dels continguts i el fet que aquest text es conservi en forma manuscrita i no hagi estat publicat encara, malgrat que des de la seva presentació hagin transcorregut 150 anys, ens ha animat a presentar-lo en aquest article. A més, el fet que l’autor morís el 30 de juliol d’aquell mateix any confereix a aquest manuscrit el valor de ser gairebé el document de les darreres voluntats de l’autor com a docent. Per això hem pensat que ben bé podria ser considerat com el seu testament acadèmic. http://hdl.handle.net/2117/13553 Title: Modelos basados en el individuo y la plataforma NetLogo Authors: Ginovart Gisbert, Marta; Portell Canal, Xavier; Ferrer-Closas, Pol; Blanco Abellán, Mónica Abstract: El objetivo general de este trabajo se enmarca en el deseo de dar a conocer la metodología de la modelización basada en el individuo y sus posibilidades para ser utilizada, entre otras metodologías, en la adquisición de la competencia de modelización en docencia. Para ello se presenta: i) una descripción de los elementos que permiten identificar, describir, comunicar e implementar los modelos basados en el individuo (IBMs), y como obtener resultados de simulación; y ii) un ejemplo-muestra de un IBM de NetLogo que ilustra con detalle la manera de proceder con este tipo de modelo Mon, 17 Oct 2011 17:56:32 GMT http://hdl.handle.net/2117/13553 2011-10-17T17:56:32Z Ginovart Gisbert, Marta; Portell Canal, Xavier; Ferrer-Closas, Pol; Blanco Abellán, Mónica no El objetivo general de este trabajo se enmarca en el deseo de dar a conocer la metodología de la modelización basada en el individuo y sus posibilidades para ser utilizada, entre otras metodologías, en la adquisición de la competencia de modelización en docencia. Para ello se presenta: i) una descripción de los elementos que permiten identificar, describir, comunicar e implementar los modelos basados en el individuo (IBMs), y como obtener resultados de simulación; y ii) un ejemplo-muestra de un IBM de NetLogo que ilustra con detalle la manera de proceder con este tipo de modelo http://hdl.handle.net/2117/13496 Title: Empresarios y técnicos en la electrificación del territorio. Authors: Barca Salom, Francesc Xavier Thu, 13 Oct 2011 09:53:59 GMT http://hdl.handle.net/2117/13496 2011-10-13T09:53:59Z Barca Salom, Francesc Xavier no http://hdl.handle.net/2117/11326 Title: Simposio sobre la industria del gas y su evolución científico-técnica Authors: Barca Salom, Francesc Xavier Thu, 10 Feb 2011 10:31:30 GMT http://hdl.handle.net/2117/11326 2011-02-10T10:31:30Z Barca Salom, Francesc Xavier no http://hdl.handle.net/2117/11075 Title: Euler's beta integral in Pietro Mengoli's works Authors: Massa Esteve, Maria Rosa; Delshams Valdés, Amadeu Abstract: Beta integrals for several non-integer values of the exponents were calculated by Leonhard Euler in 1730, when he was trying to find the general term for the factorial function by means of an algebraic expression. Nevertheless, 70 years before, Pietro Mengoli (1626–1686) had computed such integrals for natural and half-integer exponents in his Geometriae Speciosae Elementa (1659) and Circolo (1672) and displayed the results in triangular tables. In particular, his new arithmetic–algebraic method allowed him to compute the quadrature of the circle. The aim of this article is to show how Mengoli calculated the values of these integrals as well as how he analysed the relation between these values and the exponents inside the integrals. This analysis provides new insights into Mengoli’s view of his algorithmic computation of quadratures. Tue, 18 Jan 2011 11:31:46 GMT http://hdl.handle.net/2117/11075 2011-01-18T11:31:46Z Massa Esteve, Maria Rosa; Delshams Valdés, Amadeu no Beta integrals for several non-integer values of the exponents were calculated by Leonhard Euler in 1730, when he was trying to find the general term for the factorial function by means of an algebraic expression. Nevertheless, 70 years before, Pietro Mengoli (1626–1686) had computed such integrals for natural and half-integer exponents in his Geometriae Speciosae Elementa (1659) and Circolo (1672) and displayed the results in triangular tables. In particular, his new arithmetic–algebraic method allowed him to compute the quadrature of the circle. The aim of this article is to show how Mengoli calculated the values of these integrals as well as how he analysed the relation between these values and the exponents inside the integrals. This analysis provides new insights into Mengoli’s view of his algorithmic computation of quadratures. http://hdl.handle.net/2117/10355 Title: Trisecció, quadratura i duplicació: tres problemes clàssics de la geometria grega Authors: Barca Salom, Francesc Xavier Fri, 19 Nov 2010 15:27:31 GMT http://hdl.handle.net/2117/10355 2010-11-19T15:27:31Z Barca Salom, Francesc Xavier no http://hdl.handle.net/2117/10214 Title: The Value of History of Science as a Medium for the Integral and Specific Education of the Individual Authors: Roca Rosell, Antoni Maria Claret; Schneider, Hans Tue, 09 Nov 2010 14:39:59 GMT http://hdl.handle.net/2117/10214 2010-11-09T14:39:59Z Roca Rosell, Antoni Maria Claret; Schneider, Hans no http://hdl.handle.net/2117/10151 Title: Antoni Quintana-Mari (1907-1998): A Pioneer of the Use of History of Science in Science Education Authors: Roca Rosell, Antoni Maria Claret; Grapí Vilumara, Pere Fri, 05 Nov 2010 15:12:31 GMT http://hdl.handle.net/2117/10151 2010-11-05T15:12:31Z Roca Rosell, Antoni Maria Claret; Grapí Vilumara, Pere no http://hdl.handle.net/2117/9431 Title: La trigonometria en els inicis de la matemàtica xinesa. Algunes idees per treballar a l'aula Authors: Massa Esteve, Maria Rosa; Puig Pla, Carles; Romero Vallhonesta, Fátima; Guevara Casanova, Iolanda Abstract: The Nine Chapters is the most important old Chinese mathematical text. It contains a chapter devoted to solving problems of triangles (chapter 9). The analysis of the method for solving problems—using the «base and height procedure» or «Gougu » procedure— together with the comprehension of later contributions of commentators led us to use old Chinese conceptions for training the XXI century students. Wed, 06 Oct 2010 10:48:50 GMT http://hdl.handle.net/2117/9431 2010-10-06T10:48:50Z Massa Esteve, Maria Rosa; Puig Pla, Carles; Romero Vallhonesta, Fátima; Guevara Casanova, Iolanda no The Nine Chapters is the most important old Chinese mathematical text. It contains a chapter devoted to solving problems of triangles (chapter 9). The analysis of the method for solving problems—using the «base and height procedure» or «Gougu » procedure— together with the comprehension of later contributions of commentators led us to use old Chinese conceptions for training the XXI century students. http://hdl.handle.net/2117/9321 Title: L'esfera copernicana de l'abat Joan de Safont (1789-1847) Authors: Puig Pla, Carles Abstract: Joan de Safont, benedictine monk and last abbot of Barcelona’s monastery of Sant Pau del Camp, founded a class of speculative and practical physics in the school of Sant Pau del Camp. He organized a mechanical and physical cabinet with abundant apparatus constructed by craftsmen from Barcelona. His inerest in astronomy led him to construct sun clocks and invent a copernican sphere at the beginning of the decade of 1830. It was a very ingenious device, articulated and equipped with mechanisms so that with a crank it was able to move the planets, satellites and comets of the Solar System in his orbits. Francesc Arau, a capable machinist, was the person in charge of the practical construction of the sphere. Tue, 05 Oct 2010 09:47:30 GMT http://hdl.handle.net/2117/9321 2010-10-05T09:47:30Z Puig Pla, Carles no Joan de Safont, benedictine monk and last abbot of Barcelona’s monastery of Sant Pau del Camp, founded a class of speculative and practical physics in the school of Sant Pau del Camp. He organized a mechanical and physical cabinet with abundant apparatus constructed by craftsmen from Barcelona. His inerest in astronomy led him to construct sun clocks and invent a copernican sphere at the beginning of the decade of 1830. It was a very ingenious device, articulated and equipped with mechanisms so that with a crank it was able to move the planets, satellites and comets of the Solar System in his orbits. Francesc Arau, a capable machinist, was the person in charge of the practical construction of the sphere. http://hdl.handle.net/2117/9287 Title: Narcís Monturiol (1819-1885), pioneer of submarine navigation Authors: Puig Pla, Carles; Roca Rosell, Antoni Maria Claret Abstract: Narcís Monturiol (1819–1885) played an essential role in the history of submarine navigation. He was a person of strong convictions and fought for democracy at a time of changes and political convulsions in the Spanish society. Utopian republican and socialist, he spread the Communist ideas of Étienne Cabet in Catalonia, organizing the Cabetians around the weekly, La Fraternidad (1847–1848). He also became the leader of the Icarian community in Barcelona. Frequently persecuted because of his political beliefs, he was often forced to seek refuge in Cadaqués, and it was there that he conceived his project of a submarine vessel, the Ictineu. Although treated with mistrust by the authorities, he was able to secure sufficient financial and technical support to carry out the project. Together with a team of technicians, he constructed the first Ictineu, which was launched in the waters of Barcelona in 1859, Subsequent improvements led to a second Ictineu, launched in 1864 and fitted in 1867 with a steam engine. However, economic difficulties led to eventual failure. As an autodidact, Monturiol received the support of Barcelona’s scientific elite and continued inventing until his death. His work, Ensayo sobre el arte de navegar por debajo del agua (Essay on the Art of Navigating Under Water), was a pioneering, monumental work about submarine navigation and a remarkable contribution to the historiography of science and technology. Mon, 04 Oct 2010 15:25:28 GMT http://hdl.handle.net/2117/9287 2010-10-04T15:25:28Z Puig Pla, Carles; Roca Rosell, Antoni Maria Claret no Narcís Monturiol (1819–1885) played an essential role in the history of submarine navigation. He was a person of strong convictions and fought for democracy at a time of changes and political convulsions in the Spanish society. Utopian republican and socialist, he spread the Communist ideas of Étienne Cabet in Catalonia, organizing the Cabetians around the weekly, La Fraternidad (1847–1848). He also became the leader of the Icarian community in Barcelona. Frequently persecuted because of his political beliefs, he was often forced to seek refuge in Cadaqués, and it was there that he conceived his project of a submarine vessel, the Ictineu. Although treated with mistrust by the authorities, he was able to secure sufficient financial and technical support to carry out the project. Together with a team of technicians, he constructed the first Ictineu, which was launched in the waters of Barcelona in 1859, Subsequent improvements led to a second Ictineu, launched in 1864 and fitted in 1867 with a steam engine. However, economic difficulties led to eventual failure. As an autodidact, Monturiol received the support of Barcelona’s scientific elite and continued inventing until his death. His work, Ensayo sobre el arte de navegar por debajo del agua (Essay on the Art of Navigating Under Water), was a pioneering, monumental work about submarine navigation and a remarkable contribution to the historiography of science and technology.