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Calculo Diferencial Para Administracion y Economia
Paperback
Series: Colección de Jorge Sáenz, Book 4
ISBN13: 9789806588066
Publisher: Lightning Source Inc
Published: Aug 16 2016
Pages: 504
Weight: 1.75
Height: 1.01 Width: 6.69 Depth: 9.61
Language: Spanish
Obra diseñada para introducir didácticamente en la matemática superior, al estudiante de carreras relacionadas con ciencias administrativas y economÃa.
Los primeros capÃtulos cubren temas de precálculo que son elementales para poder abordar cómodamente, en capÃtulos posteriores, las aplicaciones económicas que involucran derivadas de funciones exponenciales y logarÃtmicas.
Se ha buscado equilibrar la teorÃa y la práctica. La teorÃa es acompañada de numerosos ejemplos y problemas resueltos, además, se presentan muchos ejercicios propuestos al lector.
A lo largo de todo texto presentamos biografÃas y partes histórica relacionadas con los temas tratados.
CONTENIDO:
CapÃtulo 0. Preliminares algebraicos
-Un poquito de Lógica.
-El Sistema de los Números Reales.
-Exponentes Enteros.
-Radicales y Exponentes Racionales.
-Operaciones con Expresiones Algebraicas.
-Productos Notables y Factorización.
-Fracciones Algebraicas.
CapÃtulo 1. Ecuaciones
-Propiedades Básicas de las Igualdades.
-Ecuaciones Lineales.
-Aplicaciones de las Ecuaciones Lineales.
-Sistemas de Ecuaciones Lineales.
-Ecuaciones Cuadráticas.
-Aplicaciones de las Ecuaciones Cuadráticas.
-Ecuaciones Polinómicas.
CapÃtulo 2. Inecuaciones y valor absoluto
-Propiedades Básicas de las Desigualdades.
-Inecuaciones Lineales.
-Inecuaciones Cuadráticas.
-Inecuaciones Racionales.
-Valor Absoluto.
CapÃtulo 3. Graficas de ecuaciones y la recta
-El plano Cartesiano.
-Gráficas de Ecuaciones.
-La Recta y la Ecuación de Primer Grado.
CapÃtulo 4. Funciones reales
-Funciones Reales y sus Gráficas.
-Operaciones con Funciones.
-Las Funciones como Modelos Matemáticos.
-Algunas Aplicaciones de las Funciones a la EconomÃa.
CapÃtulo 5. Funciones exponenciales y logarÃtmicas
-Tipos de Interés y el Número e.
-Las Funciones Exponenciales.
-Las Funciones LogarÃtmicas.
-Aplicaciones de las Funciones Exponenciales y LogarÃtmicas.
CapÃtulo 6. Limites y continuidad
-LÃmite de una Función.
-LÃmites Unilaterales.
-Continuidad.
-LÃmites Infinitos. LÃmites en el Infinito y AsÃntotas.
CapÃtulo 7. Diferenciación
-La Derivada.
-Técnicas de Derivación.
-Análisis Marginal.
-La Regla de la Cadena.
-Derivación ImplÃcita.
-Derivadas de Orden Superior.
-Derivadas de las Funciones Exponenciales y LogarÃtmicas.
CapÃtulo 8. Aplicaciones de la derivada
-MonotonÃa y Teorema del Valor Medio.
-Máximos y MÃnimos Relativos
-Concavidad y Criterio de la Segunda Derivada.
-Trazado cuidadoso del gráfico de una función.
-Máximos y MÃnimos Absolutos.
-Problemas de Optimización.
-Elasticidad de la Demanda.
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