Mostrar el registro sencillo del ítem

dc.contributor.authorChavarro L.S
dc.contributor.authorAcevedo C.T.
dc.date.accessioned2023-10-24T19:26:37Z
dc.date.available2023-10-24T19:26:37Z
dc.date.created2021
dc.identifier.issn16652436
dc.identifier.urihttp://hdl.handle.net/11407/8156
dc.description.abstractWit 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.isospa
dc.publisherComite Latinoamericano de Matematica Educativa
dc.relation.isversionofhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85135741174&doi=10.12802%2frelime.21.2422&partnerID=40&md5=c019e933ea0384e51d71199155c3e077
dc.sourceRev. Latinoam. Invest. Mat. Educ.
dc.sourceRevista Latinoamericana de Investigacion en Matematica Educativaeng
dc.subject17th centuryeng
dc.subjectCavalierieng
dc.subjectCavalieri’s indivisibleseng
dc.subjectInfinitesimal calculuseng
dc.subjectInfinityeng
dc.titleANAMNESIS OF THE THEORY OF THE INDIVISIBLES OF CAVALIERI [ANAMNESIS DE LA TEORÍA DE LOS INDIVISIBLES DE CAVALIERI]eng
dc.typeArticle
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.publisher.programCiencias Básicasspa
dc.type.spaArtículo
dc.identifier.doi10.12802/relime.21.2422
dc.relation.citationvolume24
dc.relation.citationissue2
dc.relation.citationstartpage151
dc.relation.citationendpage176
dc.publisher.facultyFacultad de Ciencias Básicasspa
dc.affiliationChavarro, L.S., Universidad del Tolima, Colombia
dc.affiliationAcevedo, C.T., Universidad de Medellín, Colombia
dc.relation.referencesAndersen, K., Cavalieri’s Method of Indivisibles (1985) Archive for the History of Exact Sciences, 31, pp. 291-367
dc.relation.referencesAssis, 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.referencesBerkeley, G., (1734) The Analyst
dc.relation.referencesor a Discourse Addressed to an Infidel Mathematician […], , Londres: Printed for J. Tonson in the Strand
dc.relation.referencesBoyer, C., (1959) The History of the Calculus and its Conceptual Development, , New York: Dover
dc.relation.referencesBoyer, C., (1968) A History of Mathematics, , New York: John Wiley & Sons
dc.relation.referencesBrunschvicg, L., (1912) Les étapes de la philosophie mathématique, , París: Librairie Félix Alcan
dc.relation.referencesCavalieri, B., (1647) Exercitationes geometricae sex, , Bolonia: Typis Iacobi Montij
dc.relation.referencesCavalieri, B., (1653) Geometria indivisibilibus continuorum nova quadam ratione promota, , Bolonia: Ex Typographia de Lucijs
dc.relation.referencesClagett, M., (1968) Nicole Oresme and the Medieval Geometry of Qualities and Motions, , (Ed). Madison: The University of Wisconsin Press
dc.relation.referencesDo Carmo, M. P., (1976) Differential Geometry of Curves and Surfaces, , Englewood Cliffs, NJ: Prentice-Hall Inc
dc.relation.referencesDupuis, N. F., (1914) Elementary Synthetic Geometry of the Point, Line and Circle in the Plane, , London: MacMillan & Co., Ltd
dc.relation.referencesEdwards, C. H., (1979) The Historical Development of the Calculus, , New York: Springer
dc.relation.referencesHairer, E., Wanner, G., (1996) Analysis by Its History, , New York: Springer
dc.relation.referencesHall, A. R., (2002) Philosophers at War. The Quarrel between Newton and Leibniz, , Cambridge: Cambridge University Press
dc.relation.referencesHeath, T. L., (1912) The Method of Archimedes, , Cambridge: Cambridge University Press
dc.relation.referencesHeiberg, J. L., Menge, H., Euclidis Opera Omnia. Vol. II. Libros V-IX continens, , (Eds) (MDCCCLXXXIV). Lipsiae: in aedibus B. G. Teubneri
dc.relation.referencesHeiberg, J. L., Eine neue Archimedeshandschrift (1907) Hermes: Zeitschrift f ür klassische Philologie, 42 (2), pp. 235-303
dc.relation.referencesHeiberg, J. L., (1909) Geomet ric Solutions Derived f rom Mechanics. A Treat ise of Archimedes, , (Trad) Chicago: The Open Court Publishing Company
dc.relation.referencesJones, F., (2001) Lebesgue Integration on Euclidean Space, , Sudbury, Massachusetts: Jones and Bartlett Publishers
dc.relation.referencesKoyré, 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.referencesKunz, 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.referencesLakatos, I., (1978) Mathematics, Science and Epistemology-Philosophical Papers, 2. , Cambridge: Cambridge University Press
dc.relation.referencesLeibniz, 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.referencesLombardo-Radice, L., (1966) Geometria degli indivisibili di Bonaventura Cavalieri, , (Ed). Turín: Unione Tipografico-Editrice Torinese
dc.relation.referencesMarsden, J. E., Tromba, A. J., (1988) Vector Calculus, , Third Edition. New York: W. H. Freeman and Company
dc.relation.referencesMengoli, P., (1659) Geometriae speciosae elementa, , Bolonia: Typis Io. Baptistae Ferronij
dc.relation.referencesNewton, I., (1687) Philosophia naturalis principia mathematica, , Londres: Jussu Societatis Regiae ac Typis Josephi Streater
dc.relation.referencesPascal, B., (1658) Lettres de A. Dettonville, , […] París
dc.relation.referencesPorée, 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.referencesRadford, 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.referencesRaffo, 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.referencesRoberval, 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.referencesRobinson, A., (1966) Non-standard Analysis, , Amsterdam: North-Holland Publishing Company
dc.relation.referencesSmith, D. E., (1929) A Source Book in Mathematics, , New York: McGraw-Hill Book Company, Inc
dc.relation.referencesSolère, 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.referencesTamayo, 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.referencesTor 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.referencesWentworth, G., Smith, D. E., (1910) Wentworth’s Plane Geometry, , (Revs) Boston: Ginn and Company
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.reponamereponame:Repositorio Institucional Universidad de Medellín
dc.identifier.repourlrepourl:https://repository.udem.edu.co/
dc.identifier.instnameinstname:Universidad de Medellín


Ficheros en el ítem

FicherosTamañoFormatoVer

No hay ficheros asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem