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Fundamentos del Análisis Matemático: Comprendiendo los números reales, las secuencias y las demostraciones en cálculo
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Publisher: Independently Published
Pages: 164
Weight: 0.50
Height: 0.35 Width: 6.00 Depth: 9.00
Language: Spanish
El análisis matemático tiene fama de ser la asignatura en la que el cálculo deja de parecer intuitivo y empieza a exigir demostraciones. Este libro está dirigido a aquellos lectores que quieran cruzar ese puente sin perderse por el camino.
Partiendo del propio sistema de números reales, *Fundamentos del análisis matemático* construye cada concepto desde cero: lógica y técnicas de demostración, el axioma de completitud, sucesiones y series, lÃmites y continuidad, derivación e integración, todo ello desarrollado con total rigor y explicado en un lenguaje sencillo y paciente, en lugar de la concisión propia de los libros de texto.
Cada teorema viene acompañado de una demostración completa. Cada demostración se desglosa en pasos que un estudiante autodidacta puede seguir realmente. Los ejercicios al final de cada capÃtulo abarcan desde comprobaciones rutinarias hasta auténticos ejercicios de redacción de demostraciones.
Tanto si eres un estudiante que complementa un curso universitario como si te estás reincorporando a las matemáticas por tu cuenta, este libro se ha escrito para que el análisis riguroso cobre por fin sentido.
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