["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=127","accessDate":"2026-05-04T09:59:57-05:00"},["miscellaneousContainer",["pagination",["pageNumber","127"],["perPage","10"],["totalResults","3396"]]],["item",{"itemId":"2493","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2415"},["src","https://bvhumanidades.usac.edu.gt/files/original/e64fbc193527576cbc79deb6cd231145.pdf"],["authentication","9a3cade07708ec51bf9fcbcffe1efe19"]]],["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":"12466"},["text","Sucesiones Numéricas "]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12467"},["text","http://ocw.um.es/ciencias/analisis-matematico-i/Material%20de%20clase/AMIcap3.pdf"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12468"},["text","Las sucesiones constituyen una de las herramientas más útiles para el Análisis Matemático. En la primera sección de este capítulo se define el concepto de límite de una sucesión de números reales o complejos estudiando las propiedades esenciales. Se demuestra que las sucesiones monótonas acotadas tienen límite, lo que se aplica en particular, a la definición del número e. A continuación se demuestra el principio de Cantor de los intervalos encajados, relacionado con la propiedad de que la recta real es completa (no hay agujeros) y se obtiene el teorema de Bolzano-Weierstrass sobre la existencia de subsucesiones convergentes en cada sucesión acotada. La propiedad de completitud de la recta puede entonces ser reformulada en términos de que las sucesiones de Cauchy de números reales son convergentes. Este resultado y el de Bolzano-Weierstrass constituyen el núcleo esencial del capítulo. "]]]],["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":"12469"},["text","2007-2008"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12470"},["text","OCW Universidad de Murcia "]]]]]]],["tagContainer",["tag",{"tagId":"4751"},["name","Convergencia"]],["tag",{"tagId":"4752"},["name","funciones elementales."]],["tag",{"tagId":"4742"},["name","sucesiones"]]]],["item",{"itemId":"2492","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2414"},["src","https://bvhumanidades.usac.edu.gt/files/original/d19d98762f54235f0c88e07d85eb37ba.pdf"],["authentication","0bfb481a1c7b953eac0bbf22950e7c8a"]]],["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":"12461"},["text","Números Reales y Complejos "]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12462"},["text","http://ocw.um.es/ciencias/analisis-matematico-i/Material%20de%20clase/AMIcap2.pdf"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12463"},["text","Este capítulo está dedicado a introducir axiomáticamente el conjunto R de los números reales y a obtener propiedades de R relevantes para el curso, utilizando el método deductivo de las matemáticas. Los números reales constituyen la columna que sirve de sostén al resto de la construcciones que se realizarán en el curso. Más aún, están en la base de todo el Análisis Matemático, lo cual da idea de la importancia que este capítulo tiene. "]]]],["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":"12464"},["text","2007-2008"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12465"},["text","OCW Universidad de Murcia "]]]]]]],["tagContainer",["tag",{"tagId":"4747"},["name","Números"]],["tag",{"tagId":"4750"},["name","propiedades de los números."]],["tag",{"tagId":"4748"},["name","reales"]],["tag",{"tagId":"4749"},["name","subconjunto"]]]],["item",{"itemId":"2491","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2413"},["src","https://bvhumanidades.usac.edu.gt/files/original/e47a567a3510c5fa7031c5a2b3fa053d.pdf"],["authentication","38fee2e37b1b156d1e20c9b284f53ec9"]]],["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":"12456"},["text","Cálculo Integral "]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12457"},["text","http://ocw.unican.es/ciencias-sociales-y-juridicas/matematicas-generales/temas/Integracion4.pdf"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12458"},["text","El Cálculo Integral, que se introducirá en este tema, se basa en el concepto de la integral, cuyo origen surge de la necesidad de calcular el área de una región comprendida entre la curva y = f(x), el eje OX y las rectas x = a, x = b, como la que se muestra en la Figura 1. "]]]],["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":"12459"},["text","2011"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12460"},["text","OCW Universidad de Cantabria"]]]]]]],["tagContainer",["tag",{"tagId":"4745"},["name","Integral de Riemann"]],["tag",{"tagId":"4746"},["name","integrales inmediatas."]],["tag",{"tagId":"262"},["name","propiedades"]]]],["item",{"itemId":"2490","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2412"},["src","https://bvhumanidades.usac.edu.gt/files/original/14ca96d9c252cc3cf8e8eca81e0f4a1e.pdf"],["authentication","749029edc6954839585f7c4a978cdd4c"]]],["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":"12451"},["text","Sucesiones y Series de Números Reales "]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12452"},["text","http://ocw.unican.es/ciencias-sociales-y-juridicas/matematicas-generales/temas/Sucesionesy%20Series4.pdf"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12453"},["text","La definición formal de límite real de una sucesión es la que sigue. "]]]],["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":"12454"},["text","2011"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12455"},["text","OCW Universidad de Cantabria"]]]]]]],["tagContainer",["tag",{"tagId":"4743"},["name","cálculo de límites"]],["tag",{"tagId":"4744"},["name","series de números reales."]],["tag",{"tagId":"4742"},["name","sucesiones"]]]],["item",{"itemId":"2489","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2411"},["src","https://bvhumanidades.usac.edu.gt/files/original/96fc32d91714c73d04b247663ea7cca8.pdf"],["authentication","6a8fcdd75aec8a5504086941bf4db815"]]],["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":"12446"},["text","Estudio de la Gráfica de una Función. "]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12447"},["text","http://ocw.unican.es/ciencias-sociales-y-juridicas/matematicas-generales/temas/Curvas4.pdf"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12448"},["text","Es imprescindible conocer la gráfica de una función para poder analizar el fenómeno que representa: dónde crece o decrece, cuáles son sus valores máximos o mínimos, su curvatura.   La Optimización, una de las aplicaciones más importantes del Cálculo y de gran importancia en los análisis económicos, tiene como base el estudio de los extremos de una función: ¿cuándo se alcanza los máximos ingresos o los costes mínimos?   La derivada de la función será la herramienta que permitirá conocer y dibujar la gráfica de una función así como detectar sus valores máximos o mínimos. "]]]],["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":"12449"},["text","2011"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12450"},["text","OCW Universidad de Cantabria"]]]]]]],["tagContainer",["tag",{"tagId":"4739"},["name","Asíntotas"]],["tag",{"tagId":"4741"},["name","crecimiento y decrecimiento."]],["tag",{"tagId":"4740"},["name","dibujo de la curva"]]]],["item",{"itemId":"2488","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2410"},["src","https://bvhumanidades.usac.edu.gt/files/original/96b27b380fb1b01ef12b76a5db1cd146.pdf"],["authentication","1a52171c15c66f791321e6579e8306ef"]]],["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":"12441"},["text","Cálcculo Diferencia de Funciones Reales de una Variable "]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12442"},["text","http://ocw.unican.es/ciencias-sociales-y-juridicas/matematicas-generales/temas/Derivacion4.pdf"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12443"},["text","Con este tema comienza el estudio del Cálculo Diferencial. Su idea central es el concepto de derivada, basado a su vez en el límite.   La derivada es una de las nociones fundamentales del Cálculo. Gracias a ella es posible calcular tasas de variación y pendientes de las tangentes a curvas. Otra importante aplicación y de gran importancia, es el dibujo de la gráfica de una función y el cálculo de sus valores extremos. "]]]],["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":"12444"},["text","2011"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12445"},["text","OCW Universidad de Cantabria"]]]]]]],["tagContainer",["tag",{"tagId":"4736"},["name","Concepto de derivada"]],["tag",{"tagId":"4738"},["name","derivación de las funciones elementales."]],["tag",{"tagId":"4737"},["name","función derivada"]]]],["item",{"itemId":"2487","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2409"},["src","https://bvhumanidades.usac.edu.gt/files/original/8a8f485683a4fb8ba2ed6543c29d2865.pdf"],["authentication","0a9444253cf1b55954494c70639f60f7"]]],["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":"12436"},["text","Funciones Variables de una Variable Real"]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12437"},["text","http://ocw.unican.es/ciencias-sociales-y-juridicas/matematicas-generales/temas/Funciones4.pdf"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12438"},["text","Con este tema se inicia el estudio de las funciones reales de una variable, que se manejarán constantemente a lo largo del curso. En concreto, se recordarán las definiciones y operaciones básicas y las funciones elementales.   El concepto de límite es el siguiente paso, y pilar del Cálculo. La consecuencia inmediata es la definición de continuidad de una función. "]]]],["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":"12439"},["text","2011"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12440"},["text","OCW Universidad de Cantabria"]]]]]]],["tagContainer",["tag",{"tagId":"4735"},["name","continuidad de una función."]],["tag",{"tagId":"4733"},["name","Funciones reales"]],["tag",{"tagId":"4734"},["name","límite de una función"]]]],["item",{"itemId":"2486","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2408"},["src","https://bvhumanidades.usac.edu.gt/files/original/c3f0200b05a2500794c105d073b16e45.pdf"],["authentication","136a54be4c878e84bd6bd1b7c5bad752"]]],["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":"12431"},["text","Aplicaciones Lineales y Diagonalización "]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12432"},["text","http://ocw.unican.es/ciencias-sociales-y-juridicas/matematicas-generales/temas/AplicLineales4.pdf"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12433"},["text","En contextos como Sistemas Dinámicos o procesos de cadenas de Markov es preciso conocer la forma general de una potencia o la exponencial de una matriz cuadrada A, lo que no resulta fácil de obtener a no ser que la matriz sea diagonal o diagonal por bloques. Pero si A se puede expresar como producto de tres matrices en la forma A=PDP-1 con D diagonal "]]]],["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":"12434"},["text","2011"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12435"},["text","OCW Universidad de Cantabria"]]]]]]],["tagContainer",["tag",{"tagId":"4732"},["name","aplicaciones lineales."]],["tag",{"tagId":"4730"},["name","Diagonalización"]],["tag",{"tagId":"4731"},["name","expresión matricial"]]]],["item",{"itemId":"2485","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2407"},["src","https://bvhumanidades.usac.edu.gt/files/original/b438bae6694504ec06c2e3fd2efef055.pdf"],["authentication","51ceff775b7839011553e4cb44660914"]]],["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":"12426"},["text","Espacios Vectoriales "]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12427"},["text","http://ocw.unican.es/ciencias-sociales-y-juridicas/matematicas-generales/temas/EspaciosVectoriales4.pdf"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12428"},["text","Este primer tema sentará las bases que permitirán desarrollar futuros conceptos. Se analizará la estructura de espacio vectorial, el entorno de trabajo que permitirá obtener los resultados que se tratarán en los temas posteriores. Dicha estructura está presente en el espacio de factores, el de productos finales, el conjunto de posibilidades de producción o el conjunto de oportunidades asociado a un problema de optimización.   Posteriormente se estudiarán los conceptos de subespacio vectorial, sistema de genera- dores, dependencia e independencia lineal, base y dimensión. Estos conceptos constitu- yen la esencia de ``lo lineal\". "]]]],["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":"12429"},["text","2011"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12430"},["text","OCW Universidad de Cantabria"]]]]]]],["tagContainer",["tag",{"tagId":"4729"},["name","base."]],["tag",{"tagId":"4727"},["name","Espacio vectorial"]],["tag",{"tagId":"4728"},["name","sistema generador"]]]],["item",{"itemId":"2484","public":"1","featured":"1"},["fileContainer",["file",{"fileId":"2406"},["src","https://bvhumanidades.usac.edu.gt/files/original/dd55cae502f24d9e2890e207e3f72158.pdf"],["authentication","add513e9341362d20bd4c8976a3a58ec"]]],["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":"12421"},["text","Los Números"]]]],["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"12422"},["text","http://ocw.unican.es/ciencias-sociales-y-juridicas/matematicas-generales/temas/LosNumeros4.pdf"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"12423"},["text","Tanto el Cálculo como el Álgebra que estudiaremos en esta asignatura, descansan en los números reales, siendo R el conjunto fundamental en el estudio de la misma. Resulta, por tanto, obligado introducir este sistema de números"]]]],["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":"12424"},["text","2011"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"12425"},["text","OCW Universidad de Cantabria"]]]]]]],["tagContainer",["tag",{"tagId":"3565"},["name","Interválos"]],["tag",{"tagId":"4715"},["name","Números reales"]],["tag",{"tagId":"4726"},["name","valor absoluto."]]]]]