["itemContainer",{"xmlns:xsi":"http://www.w3.org/2001/XMLSchema-instance","xsi:schemaLocation":"http://omeka.org/schemas/omeka-xml/v5 http://omeka.org/schemas/omeka-xml/v5/omeka-xml-5-0.xsd","uri":"https://bvhumanidades.usac.edu.gt/items/browse?output=omeka-json&page=125","accessDate":"2026-05-04T07:19:28-05:00"},["miscellaneousContainer",["pagination",["pageNumber","125"],["perPage","10"],["totalResults","3396"]]],["item",{"itemId":"2513","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2435"},["src","https://bvhumanidades.usac.edu.gt/files/original/227055fad08aad47f5d978658a047161.pdf"],["authentication","94e5adf214fb104f3abf4a0b660dab73"]]],["collection",{"collectionId":"5"},["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"7455"},["text","PEDAGOGÍA"]]]]]]]],["itemType",{"itemTypeId":"1"},["name","Text"],["description","A resource consisting primarily of words for reading. Examples include books, letters, dissertations, poems, newspapers, articles, archives of mailing lists. Note that facsimiles or images of texts are still of the genre Text."]],["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"12566"},["text","Teoría Descriptiva de Conjuntos "]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12567"},["text","https://libroslibresgratis.wordpress.com/category/libros/ciencias-generales/matematicas-ciencias-generales/page/3/"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12568"},["text","La teor´ ıa descriptiva de conjuntos consiste esencialmente en el estudio de conjuntos (subconjuntos de espacios topol´ogicos, para ser m´ as precisos) que resultan de aplicar un proceso de construcci´on a partir de conjuntos sencillos o que satisfacen una deﬁnici´on m´ as o menos expl´ıcita, de modo que, en un sentido no muy preciso, pueden considerarse conjuntos “deﬁnibles”, por oposici´on a conjuntos “arbitrarios” de los que no tenemos a priori informaci´on alguna sobre su estructura. "]]]],["element",{"elementId":"38"},["name","Coverage"],["description","The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant"],["elementTextContainer",["elementText",{"elementTextId":"12569"},["text","null"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12570"},["text","Libros Libres & Gratuitos "]]]]]]],["tagContainer",["tag",{"tagId":"4797"},["name","Espacios Polacos"]],["tag",{"tagId":"4798"},["name","Jerarquía de Borel."]]]],["item",{"itemId":"2512","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2434"},["src","https://bvhumanidades.usac.edu.gt/files/original/3ad8d7ea6af668f17d04329b5a585a40.pdf"],["authentication","ae68def597b96894aa4619c435845d2c"]]],["collection",{"collectionId":"5"},["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"7455"},["text","PEDAGOGÍA"]]]]]]]],["itemType",{"itemTypeId":"1"},["name","Text"],["description","A resource consisting primarily of words for reading. Examples include books, letters, dissertations, poems, newspapers, articles, archives of mailing lists. Note that facsimiles or images of texts are still of the genre Text."]],["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"12561"},["text","Teoría de Números"]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12562"},["text","https://libroslibresgratis.wordpress.com/category/libros/ciencias-generales/matematicas-ciencias-generales/page/3/"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12563"},["text","null"]]]],["element",{"elementId":"38"},["name","Coverage"],["description","The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant"],["elementTextContainer",["elementText",{"elementTextId":"12564"},["text","null"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12565"},["text","Libros Libres & Gratuitos "]]]]]]],["tagContainer",["tag",{"tagId":"4795"},["name","Cuerpos numéricos"]],["tag",{"tagId":"4796"},["name","factorización"]],["tag",{"tagId":"2935"},["name","método."]]]],["item",{"itemId":"2511","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2433"},["src","https://bvhumanidades.usac.edu.gt/files/original/eefd9a24c75513a00419e460a15dc12e.pdf"],["authentication","757779ef86859bdf1b3ccf3a27d584ee"]]],["collection",{"collectionId":"5"},["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"7455"},["text","PEDAGOGÍA"]]]]]]]],["itemType",{"itemTypeId":"1"},["name","Text"],["description","A resource consisting primarily of words for reading. Examples include books, letters, dissertations, poems, newspapers, articles, archives of mailing lists. Note that facsimiles or images of texts are still of the genre Text."]],["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"12556"},["text","Teoría de Conjuntos"]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12557"},["text","https://libroslibresgratis.wordpress.com/category/libros/ciencias-generales/matematicas-ciencias-generales/page/3/"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12558"},["text","El plural del título de este libro pretende advertir de que no es un libro de “teoría de conjuntos” en el sentido usual de la palabra, sino sobre “teorías de conjuntos”, es decir, un libro en el que se discuten varias teorías de conjuntos distintas de las más habituales: ZFC o NBG."]]]],["element",{"elementId":"38"},["name","Coverage"],["description","The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant"],["elementTextContainer",["elementText",{"elementTextId":"12559"},["text","null"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12560"},["text","Libros Libres & Gratuitos "]]]]]]],["tagContainer",["tag",{"tagId":"4792"},["name","cardinales"]],["tag",{"tagId":"4794"},["name","conjuntos."]],["tag",{"tagId":"4793"},["name","ordinales"]]]],["item",{"itemId":"2510","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2432"},["src","https://bvhumanidades.usac.edu.gt/files/original/461e2ce1a00d4e0dc2a4b2e8f2d7b4a9.pdf"],["authentication","586642577dbab007708b7d1d052cd152"]]],["collection",{"collectionId":"5"},["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"7455"},["text","PEDAGOGÍA"]]]]]]]],["itemType",{"itemTypeId":"1"},["name","Text"],["description","A resource consisting primarily of words for reading. Examples include books, letters, dissertations, poems, newspapers, articles, archives of mailing lists. Note that facsimiles or images of texts are still of the genre Text."]],["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"12551"},["text","Superficies Aritméticas"]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12552"},["text","https://libroslibresgratis.wordpress.com/category/libros/ciencias-generales/matematicas-ciencias-generales/page/3/"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12553"},["text","El propósito de este libro es profundizar en el estudio de las curvas elípticas a través de lo que podríamos considerar una generalización de la noción de reducción. Recordemos que una curva elíptica E/K sobre un cuerpo K es una curva proyectiva regular de genero 1 definida sobre K en la que hemos seleccionado un punto racional O ∈ E(K)."]]]],["element",{"elementId":"38"},["name","Coverage"],["description","The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant"],["elementTextContainer",["elementText",{"elementTextId":"12554"},["text","null"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12555"},["text","Libros Libres & Gratuitos "]]]]]]],["tagContainer",["tag",{"tagId":"4791"},["name","superficies aritméticas."]],["tag",{"tagId":"4790"},["name","Teorema Chino"]]]],["item",{"itemId":"2509","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2431"},["src","https://bvhumanidades.usac.edu.gt/files/original/f8bb6408f09ed2f108e51b727fe46388.pdf"],["authentication","54eb44031794f95c0ae026b92d43670e"]]],["collection",{"collectionId":"5"},["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"7455"},["text","PEDAGOGÍA"]]]]]]]],["itemType",{"itemTypeId":"1"},["name","Text"],["description","A resource consisting primarily of words for reading. Examples include books, letters, dissertations, poems, newspapers, articles, archives of mailing lists. Note that facsimiles or images of texts are still of the genre Text."]],["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"12546"},["text","Representaciones de Grupos Finitos "]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12547"},["text","https://libroslibresgratis.wordpress.com/category/libros/ciencias-generales/matematicas-ciencias-generales/page/3/"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12548"},["text","Este libro es el resultado de extender lo que originalmente era un capitulo de preliminares para definir el conductor de una curva elíptica en la parte de aplicaciones de mi libro de Superficies aritméticas. El lector interesado específicamente en este objetivo puede leer las secciones 1.1 y 1.2 y el capitulo II (saltándose, si lo desea, las secciones 2.3 y 2.7) y desde ahí pasar directamente al apéndice A, del que podrá seguir las secciones A.1 y A.2, con lo cual alcanzará los requisitos necesarios para entender el estudio del conductor de una curva elíptica. Ahora bien, si quiere entender realmente la teoría que hay de fondo en el uso de los caracteres de Artin y Swan construidos en A.2 deberá leer también las secciones A.3 y A.4, para lo cual necesitará estudiarse casi la totalidad del presente libro."]]]],["element",{"elementId":"38"},["name","Coverage"],["description","The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant"],["elementTextContainer",["elementText",{"elementTextId":"12549"},["text","null"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12550"},["text","Libros Libres & Gratuitos "]]]]]]],["tagContainer",["tag",{"tagId":"4787"},["name","Finitos"]],["tag",{"tagId":"4789"},["name","grupos lineales."]],["tag",{"tagId":"4788"},["name","infinitos"]]]],["item",{"itemId":"2508","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2430"},["src","https://bvhumanidades.usac.edu.gt/files/original/a16e7b2094d8364be0fe8c832203fce6.pdf"],["authentication","faeae75129433edd114b28ad1d01de8b"]]],["collection",{"collectionId":"5"},["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"7455"},["text","PEDAGOGÍA"]]]]]]]],["itemType",{"itemTypeId":"1"},["name","Text"],["description","A resource consisting primarily of words for reading. Examples include books, letters, dissertations, poems, newspapers, articles, archives of mailing lists. Note that facsimiles or images of texts are still of the genre Text."]],["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"12541"},["text","Relación entre variables: causalidad, correlación y regresión"]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12542"},["text","https://libroslibresgratis.wordpress.com/category/libros/ciencias-generales/matematicas-ciencias-generales/page/3/"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12543"},["text","En este módulo hemos introducido conceptos de relaciones funcionales y estadísticas, así como el de variables dependientes y el de variables independientes. Hemos comentado la construcción de un diagrama de dispersión como paso inicial a la hora de buscar algún tipo de relación entre dos variables. Si el diagrama muestra una estructura lineal, entonces se buscará la recta que mejor se ajusta a las observaciones. Hemos puesto de manifiesto la importancia de interpretar correctamente los coeficientes de la recta. También hemos visto cómo se debe utilizar la recta de regresión para realizar predicciones. Hemos introducido una medida numérica de la bondad de ajuste. Esta medida se obtiene con el coeficiente de determinación, discutiendo los valores que puede tomar. Finalmente, hemos comentado la importancia de analizar los residuos para hacer un diagnóstico del modelo lineal obtenido."]]]],["element",{"elementId":"38"},["name","Coverage"],["description","The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant"],["elementTextContainer",["elementText",{"elementTextId":"12544"},["text","null"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12545"},["text","Libros Libres & Gratuitos "]]]]]]],["tagContainer",["tag",{"tagId":"4786"},["name","modelos de regresión."]],["tag",{"tagId":"4785"},["name","relación entre variables"]],["tag",{"tagId":"4487"},["name","variables"]]]],["item",{"itemId":"2507","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2429"},["src","https://bvhumanidades.usac.edu.gt/files/original/7318e42300e991d17ea3dd7b19bdea68.pdf"],["authentication","169c6455572dcd131ce5f08b7d6d87bb"]]],["collection",{"collectionId":"5"},["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"7455"},["text","PEDAGOGÍA"]]]]]]]],["itemType",{"itemTypeId":"1"},["name","Text"],["description","A resource consisting primarily of words for reading. Examples include books, letters, dissertations, poems, newspapers, articles, archives of mailing lists. Note that facsimiles or images of texts are still of the genre Text."]],["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"12536"},["text","Pruebas de Consistencia"]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12537"},["text","https://libroslibresgratis.wordpress.com/category/libros/ciencias-generales/matematicas-ciencias-generales/page/3/"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12538"},["text","El propósito de este libro es proporcionar al lector las técnicas básicas que permiten demostrar la indecidibilidad de una gran variedad de afirmaciones matemáticas. El primer paso en esta dirección es advertir que todos los teoremas que los matemáticos consideran “demostrados”, pueden demostrarse en el sentido preciso de la palabra “demostración” que proporciona la lógica matemática a partir de los axiomas de la teoría de conjuntos de Zermelo-Fraenkel ZFC (ex-cepto aquellos que usan explícitamente axiomas adicionales, como la hipótesis del continuo, el diamante de Jensen, etc.) De este modo, demostrar que una afirmación es indecidible, es decir, que un matemático jamas llegara a demostrarla o a refutarla por más que se esfuerce, equivale a demostrar que no puede demostrarse ni refutarse formalmente a partir de los axiomas de ZFC. Esto supone una enorme concreción del problema."]]]],["element",{"elementId":"38"},["name","Coverage"],["description","The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant"],["elementTextContainer",["elementText",{"elementTextId":"12539"},["text","null"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12540"},["text","Libros Libres & Gratuitos "]]]]]]],["tagContainer",["tag",{"tagId":"4783"},["name","Jerarquías constructibles"]],["tag",{"tagId":"4784"},["name","Modelos Booleanos."]]]],["item",{"itemId":"2506","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2428"},["src","https://bvhumanidades.usac.edu.gt/files/original/24946b428b0335df1f355f9a1dadcc3a.pdf"],["authentication","70b90dcaab79132ffb2a0350b7ab8841"]]],["collection",{"collectionId":"5"},["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"7455"},["text","PEDAGOGÍA"]]]]]]]],["itemType",{"itemTypeId":"1"},["name","Text"],["description","A resource consisting primarily of words for reading. Examples include books, letters, dissertations, poems, newspapers, articles, archives of mailing lists. Note that facsimiles or images of texts are still of the genre Text."]],["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"12531"},["text","Lógica matemática "]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12532"},["text","https://libroslibresgratis.wordpress.com/category/libros/ciencias-generales/matematicas-ciencias-generales/page/3/"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12533"},["text","Si el lector ha intentado alguna vez resumir en una frase (o incluso en un par de docenas de p´aginas) qu´ e es la matem´atica, o la aritm´etica, o el ´algebra, etc. se habr´ a dado cuenta sin duda de lo in´util que es pretender condensar tanto en pocas palabras, pues nadie que lea cualquier intento de “deﬁnici´on” puede con ella formarse una idea ﬁel y representativa del contenido y el alcance de cualquiera de dichas disciplinas. Lo mismo sucede, como no pod´ ıa ser de otro modo, si uno intenta “deﬁnir” la l´ogica matem´atica. Si el lector no tiene una idea clara de qu´ e es eso de la l´ogica matem´atica y quiere obtenerla de este libro, podr´ a hacerlo, pero no meramente leyendo esta introducci´on, sino leyendo varios cap´ıtulos, y aun si los lee todos, deber´ a tener presente que el alcance de la l´ogica matem´atica va mucho m´ as all´ a de lo que se recoge aqu´ ı. Por si esto suena descorazonador, creemos estar en condiciones de aﬁrmar, por otra parte, que quien “digiera” este libro habr´ a aprendido todo lo que necesita saber (y m´as) para comprender en qu´ e consiste exactamente y con todo detalle la fundamentaci´on de la matem´atica moderna. "]]]],["element",{"elementId":"38"},["name","Coverage"],["description","The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant"],["elementTextContainer",["elementText",{"elementTextId":"12534"},["text","null"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12535"},["text","Libros Libres & Gratuitos "]]]]]]],["tagContainer",["tag",{"tagId":"4523"},["name","cálculo"]],["tag",{"tagId":"4781"},["name","Languajes y modelos"]],["tag",{"tagId":"4782"},["name","teoría básica de conjuntos."]]]],["item",{"itemId":"2505","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2427"},["src","https://bvhumanidades.usac.edu.gt/files/original/e93fced8aa005ef85f51b44ee1796455.pdf"],["authentication","a848e6928003326d113d58d525d4edb9"]]],["collection",{"collectionId":"5"},["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"7455"},["text","PEDAGOGÍA"]]]]]]]],["itemType",{"itemTypeId":"1"},["name","Text"],["description","A resource consisting primarily of words for reading. Examples include books, letters, dissertations, poems, newspapers, articles, archives of mailing lists. Note that facsimiles or images of texts are still of the genre Text."]],["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"12526"},["text","Geometría"]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12527"},["text","https://libroslibresgratis.wordpress.com/category/libros/ciencias-generales/matematicas-ciencias-generales/page/3/"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12528"},["text","El objeto de este libro es presentar una panorámica de la geometría previa a la geometría diferencial. Más precisamente, de la geometría sin topologia. Hay varias razones por las que consideramos util conocer las tecnicas no topológicas en geometría. Por una parte entre ellas se encuentran las técnicas genuinamente algebraicas, que son de gran valor en si mismas y por sus posibilidades de aplicacion. En muchos casos el algebra suple con razonamientos conceptuales exquisitamente limpios lo que en un enfoque más directo se convertiría en una ristra de cálculos, concluyentes pero ciegos."]]]],["element",{"elementId":"38"},["name","Coverage"],["description","The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant"],["elementTextContainer",["elementText",{"elementTextId":"12529"},["text","null"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12530"},["text","Libros Libres & Gratuitos "]]]]]]],["tagContainer",["tag",{"tagId":"4779"},["name","geometría absoluta"]],["tag",{"tagId":"4780"},["name","teoremas."]],["tag",{"tagId":"4539"},["name","Vectores"]]]],["item",{"itemId":"2504","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2426"},["src","https://bvhumanidades.usac.edu.gt/files/original/f339da97b193bec090734ac763dfb51a.pdf"],["authentication","2220a26ebfe0d304578e639fd7ea99cf"]]],["collection",{"collectionId":"5"},["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"7455"},["text","PEDAGOGÍA"]]]]]]]],["itemType",{"itemTypeId":"1"},["name","Text"],["description","A resource consisting primarily of words for reading. Examples include books, letters, dissertations, poems, newspapers, articles, archives of mailing lists. Note that facsimiles or images of texts are still of the genre Text."]],["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"12521"},["text","Geométria Simplectica"]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12522"},["text","https://libroslibresgratis.wordpress.com/category/libros/ciencias-generales/matematicas-ciencias-generales/page/3/"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12523"},["text","Una introducción a la geometría simpléctica orientada a la aplicación a la mecánica clásica. Contiene figuras y ejercicios resueltos."]]]],["element",{"elementId":"38"},["name","Coverage"],["description","The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant"],["elementTextContainer",["elementText",{"elementTextId":"12524"},["text","2003"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12525"},["text","Libros Libres & Gratuitos "]]]]]]],["tagContainer",["tag",{"tagId":"4771"},["name","Geometría"]],["tag",{"tagId":"4777"},["name","polaridad"]],["tag",{"tagId":"4778"},["name","simetrías"]]]]]