{"id":69027,"date":"2004-05-07T00:00:00","date_gmt":"2004-05-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/de-la-variabilidad-a-la-funcionalidad-genesis-filosofico-conceptual-del-analisis-matematico-en-torno-al-siglo-xvii\/"},"modified":"2004-05-07T00:00:00","modified_gmt":"2004-05-07T00:00:00","slug":"de-la-variabilidad-a-la-funcionalidad-genesis-filosofico-conceptual-del-analisis-matematico-en-torno-al-siglo-xvii","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/pais-vasco-euskal-herriko-unibertsitatea\/de-la-variabilidad-a-la-funcionalidad-genesis-filosofico-conceptual-del-analisis-matematico-en-torno-al-siglo-xvii\/","title":{"rendered":"De la variabilidad a la funcionalidad. g\u00e9nesis filos\u00f3fico-conceptual del an\u00e1lisis matem\u00e1tico en torno al siglo xvii"},"content":{"rendered":"<h2>Tesis doctoral de <strong> \u00e1ngel Mar\u00edn Mart\u00ednez <\/strong><\/h2>\n<p>En esta memoria se estudia la progresiva introducci\u00f3n en matem\u00e1ticas de los conceptos referenciales de variable y funci\u00f3n. Para ello se aborda desde una perspectiva hist\u00f3rica la evoluci\u00f3n de la idea de an\u00e1lisis desde sus or\u00edgenes hasta su definitiva calificaci\u00f3n como an\u00e1lisis matem\u00e1tico en el siglo xviii. Se empiezan por analizar los aspectos epistemol\u00f3gicos y ontol\u00f3gicos que rodean en sus inicios el empleo de la inc\u00f3gnita y de los m\u00e9todos algebraicos. M\u00e1s tarde se considera el papel de la filosof\u00eda natural newtoniana, y particularmente de la idea de flujo uniforme, en la definici\u00f3n destiempo como cantidad variable. La incidencia de la matem\u00e1tica infinitesimal es considerada en relaci\u00f3n con la descripci\u00f3n de la continuidad caracter\u00edsticas de los fen\u00f3menos naturales. En este punto se observa ya que a la detecci\u00f3n de regularidades le sigue la formulaci\u00f3n de leyes formales de covariaci\u00f3n de magnitudes, cuya expresi\u00f3n algebraica es destacada finalmente en las primeras definiciones de funci\u00f3n.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>De la variabilidad a la funcionalidad. g\u00e9nesis filos\u00f3fico-conceptual del an\u00e1lisis matem\u00e1tico en torno al siglo xvii<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 De la variabilidad a la funcionalidad. g\u00e9nesis filos\u00f3fico-conceptual del an\u00e1lisis matem\u00e1tico en torno al siglo xvii <\/li>\n<li><strong>Autor:<\/strong>\u00a0 \u00e1ngel Mar\u00edn Mart\u00ednez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Pa\u00eds vasco\/euskal herriko unibertsitatea<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 05\/07\/2004<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li> Larrazabal Ant\u00eda Jes\u00fas Mar\u00eda<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: enric Casab\u00e1n moya <\/li>\n<li>josep Pla carrera (vocal)<\/li>\n<li>Javier Duandikoetxea zuazo (vocal)<\/li>\n<li>Jes\u00fas Alcolea benegas (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de \u00e1ngel Mar\u00edn Mart\u00ednez En esta memoria se estudia la progresiva introducci\u00f3n en matem\u00e1ticas de los conceptos referenciales [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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