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Libro: Análisis matemático (Zakon)

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    Este texto guía cuidadosamente al estudiante a través de los temas básicos de Análisis Real. Los temas incluyen espacios métricos, conjuntos abiertos y cerrados, secuencias convergentes, límites y continuidad de funciones, conjuntos compactos, secuencias y series de funciones, series de potencia, diferenciación e integración, teorema de Taylor, variación total, arcos rectificables y condiciones suficientes de integrabilidad. Más de 500 ejercicios (muchos con consejos extensos) ayudan a los estudiantes a través del material. Para los estudiantes que necesitan una revisión de conceptos matemáticos básicos antes de comenzar las pruebas de estilo “épsilon-delta”, el texto comienza con material sobre teoría de conjuntos (conjuntos, cuantificadores, relaciones y mapeos, conjuntos contables), los números reales (axiomas, números naturales, inducción, consecuencias del axioma de integridad), y Espacios euclidianos y vectoriales; este material se condensa a partir de los Conceptos Básicos de Matemáticas del autor, cuya versión completa puede ser utilizada como material de fondo complementario para el presente texto.

    This page titled Libro: Análisis matemático (Zakon) was last modified on Sun, 30 Oct 2022 15:09:35 GMT and is shared under a CC BY 3.0 license and was authored, remixed, and/or curated by Elias Zakon (The Trilla Group (support by Saylor Foundation)) via source content that was edited to the style and standards of the LibreTexts platform.