dc.contributor.author | Chavarro L.S | |
dc.contributor.author | Acevedo C.T. | |
dc.date.accessioned | 2023-10-24T19:26:37Z | |
dc.date.available | 2023-10-24T19:26:37Z | |
dc.date.created | 2021 | |
dc.identifier.issn | 16652436 | |
dc.identifier.uri | http://hdl.handle.net/11407/8156 | |
dc.description.abstract | Wit hi n t hei r concret e social and cult ural ci rcumst ances, Cavalieri’s indivisibles make up an underst andable theor y seeking its symbols to explain the infinite-continuous at the dawn of European Modernity. Many of the key notions of this theory survive in today’s mathematics. © 2021, Comite Latinoamericano de Matematica Educativa. All rights reserved. | eng |
dc.language.iso | spa | |
dc.publisher | Comite Latinoamericano de Matematica Educativa | |
dc.relation.isversionof | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85135741174&doi=10.12802%2frelime.21.2422&partnerID=40&md5=c019e933ea0384e51d71199155c3e077 | |
dc.source | Rev. Latinoam. Invest. Mat. Educ. | |
dc.source | Revista Latinoamericana de Investigacion en Matematica Educativa | eng |
dc.subject | 17th century | eng |
dc.subject | Cavalieri | eng |
dc.subject | Cavalieri’s indivisibles | eng |
dc.subject | Infinitesimal calculus | eng |
dc.subject | Infinity | eng |
dc.title | ANAMNESIS OF THE THEORY OF THE INDIVISIBLES OF CAVALIERI [ANAMNESIS DE LA TEORÍA DE LOS INDIVISIBLES DE CAVALIERI] | eng |
dc.type | Article | |
dc.rights.accessrights | info:eu-repo/semantics/restrictedAccess | |
dc.publisher.program | Ciencias Básicas | spa |
dc.type.spa | Artículo | |
dc.identifier.doi | 10.12802/relime.21.2422 | |
dc.relation.citationvolume | 24 | |
dc.relation.citationissue | 2 | |
dc.relation.citationstartpage | 151 | |
dc.relation.citationendpage | 176 | |
dc.publisher.faculty | Facultad de Ciencias Básicas | spa |
dc.affiliation | Chavarro, L.S., Universidad del Tolima, Colombia | |
dc.affiliation | Acevedo, C.T., Universidad de Medellín, Colombia | |
dc.relation.references | Andersen, K., Cavalieri’s Method of Indivisibles (1985) Archive for the History of Exact Sciences, 31, pp. 291-367 | |
dc.relation.references | Assis, A. K. T., Magnaghi, C. P., (2012) The Ilustrated Method of Archimedes: Utilizing the Law of the Lever to Calculate Areas, Volumes, and Centers of Gravity, , Montreal: Apeiron | |
dc.relation.references | Berkeley, G., (1734) The Analyst | |
dc.relation.references | or a Discourse Addressed to an Infidel Mathematician […], , Londres: Printed for J. Tonson in the Strand | |
dc.relation.references | Boyer, C., (1959) The History of the Calculus and its Conceptual Development, , New York: Dover | |
dc.relation.references | Boyer, C., (1968) A History of Mathematics, , New York: John Wiley & Sons | |
dc.relation.references | Brunschvicg, L., (1912) Les étapes de la philosophie mathématique, , París: Librairie Félix Alcan | |
dc.relation.references | Cavalieri, B., (1647) Exercitationes geometricae sex, , Bolonia: Typis Iacobi Montij | |
dc.relation.references | Cavalieri, B., (1653) Geometria indivisibilibus continuorum nova quadam ratione promota, , Bolonia: Ex Typographia de Lucijs | |
dc.relation.references | Clagett, M., (1968) Nicole Oresme and the Medieval Geometry of Qualities and Motions, , (Ed). Madison: The University of Wisconsin Press | |
dc.relation.references | Do Carmo, M. P., (1976) Differential Geometry of Curves and Surfaces, , Englewood Cliffs, NJ: Prentice-Hall Inc | |
dc.relation.references | Dupuis, N. F., (1914) Elementary Synthetic Geometry of the Point, Line and Circle in the Plane, , London: MacMillan & Co., Ltd | |
dc.relation.references | Edwards, C. H., (1979) The Historical Development of the Calculus, , New York: Springer | |
dc.relation.references | Hairer, E., Wanner, G., (1996) Analysis by Its History, , New York: Springer | |
dc.relation.references | Hall, A. R., (2002) Philosophers at War. The Quarrel between Newton and Leibniz, , Cambridge: Cambridge University Press | |
dc.relation.references | Heath, T. L., (1912) The Method of Archimedes, , Cambridge: Cambridge University Press | |
dc.relation.references | Heiberg, J. L., Menge, H., Euclidis Opera Omnia. Vol. II. Libros V-IX continens, , (Eds) (MDCCCLXXXIV). Lipsiae: in aedibus B. G. Teubneri | |
dc.relation.references | Heiberg, J. L., Eine neue Archimedeshandschrift (1907) Hermes: Zeitschrift f ür klassische Philologie, 42 (2), pp. 235-303 | |
dc.relation.references | Heiberg, J. L., (1909) Geomet ric Solutions Derived f rom Mechanics. A Treat ise of Archimedes, , (Trad) Chicago: The Open Court Publishing Company | |
dc.relation.references | Jones, F., (2001) Lebesgue Integration on Euclidean Space, , Sudbury, Massachusetts: Jones and Bartlett Publishers | |
dc.relation.references | Koyré, A., (1978) Estudios de historia del pensamiento científ ico, , (E. Pérez y E. Bustos, Trans). México: Siglo veintiuno editores. (Obra original publicada en 1973) | |
dc.relation.references | Kunz, E., (1976) Ebene Geomet ri e. Axi omat i sche Begr ündung der eukli di schen und nichteuklidischen Geometrie, , Hamburg: ro ro ro vieweg | |
dc.relation.references | Lakatos, I., (1978) Mathematics, Science and Epistemology-Philosophical Papers, 2. , Cambridge: Cambridge University Press | |
dc.relation.references | Leibniz, G. W., Studies in Physics and the Nature of Body, 1671 (1956) Philosophical Papers and Letters, pp. 139-145. , En L. E. Loemker. (Ed), Dordrecht: Kluwer Academic Publishers. (Obra original publicada en 1671) | |
dc.relation.references | Lombardo-Radice, L., (1966) Geometria degli indivisibili di Bonaventura Cavalieri, , (Ed). Turín: Unione Tipografico-Editrice Torinese | |
dc.relation.references | Marsden, J. E., Tromba, A. J., (1988) Vector Calculus, , Third Edition. New York: W. H. Freeman and Company | |
dc.relation.references | Mengoli, P., (1659) Geometriae speciosae elementa, , Bolonia: Typis Io. Baptistae Ferronij | |
dc.relation.references | Newton, I., (1687) Philosophia naturalis principia mathematica, , Londres: Jussu Societatis Regiae ac Typis Josephi Streater | |
dc.relation.references | Pascal, B., (1658) Lettres de A. Dettonville, , […] París | |
dc.relation.references | Porée, M., La «méthode Serres» (2000) Sillages critiques 1, , http://journals.openedition.org/sillagescritiques/3155, Online since 11.01.2013, connection on 04.04.2019 | |
dc.relation.references | Radford, L., Semiot ic Ref lect ions on Medieval and Cont emporar y Graphic Representations of Motion (2008) Ponencia presentada en la History and Pedagogy of Mathematics Conference, , (jul io). México D. F | |
dc.relation.references | Raffo, F., (2016) Continuo e infinito. Inf luencias y génesis del tratamiento leibniziano del laberinto del continuo, , (Tesis doctoral). Universidad Nacional de La Plata, La Plata, Argentina | |
dc.relation.references | Roberval, G. P., Traité des indivisibles (1693) En Messieurs de l’Académie Royale des Sciences. Divers ouvrages de mathématiques et de physique, pp. 190-245. , París: L’Imprimerie Royale | |
dc.relation.references | Robinson, A., (1966) Non-standard Analysis, , Amsterdam: North-Holland Publishing Company | |
dc.relation.references | Smith, D. E., (1929) A Source Book in Mathematics, , New York: McGraw-Hill Book Company, Inc | |
dc.relation.references | Solère, J. L., Scotus Geometres. The longetivity of Duns Scot us’s geometric arguments against indivisibilism, , https://www2.bc.edu/jeanluc-solere/docs/PAPERS/Solere_Scotus%20Geometres%202.pdf, f). Recuperado 21.03.2019 | |
dc.relation.references | Tamayo, A. C., (2018) Escenas de la representación matemática de los indivisibles en el siglo XVII, , (Tesis doctora publicada). Universidad Nacional de Colombia, Medellín, Colombia | |
dc.relation.references | Tor r icel l i, E., On the Acute Hyperbolic Solid (1969) A Source Book i n Mathematics, 1200-1800, pp. 227-232. , En D. J. St r ui k. Princeton: Princeton University Press. (Obra original publicada ca. 1643) | |
dc.relation.references | Wentworth, G., Smith, D. E., (1910) Wentworth’s Plane Geometry, , (Revs) Boston: Ginn and Company | |
dc.type.version | info:eu-repo/semantics/publishedVersion | |
dc.identifier.reponame | reponame:Repositorio Institucional Universidad de Medellín | |
dc.identifier.repourl | repourl:https://repository.udem.edu.co/ | |
dc.identifier.instname | instname:Universidad de Medellín | |