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Calculo Diferencial Para Administracion y Economia by Saenz, Jorge a.

Calculo Diferencial Para Administracion y Economia

by Jorge a. Saenz
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Book cover type: Paperback
  • ISBN13: 9789806588066
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Editorial Hipotenusa
  • Publisher Imprint: Editorial Hipotenusa
  • Publication Date:
  • Pages: 504
  • Original Price: GBP 19.06
  • Language: Spanish
  • Edition: N/A
  • Item Weight: 794 grams
  • BISAC Subject(s): Calculus

Obra diseñada para introducir didácticamente en la matemática superior, al estudiante de carreras relacionadas con ciencias administrativas y economía.

Los primeros capítulos cubren temas de precálculo que son elementales para poder abordar cómodamente, en capítulos posteriores, las aplicaciones económicas que involucran derivadas de funciones exponenciales y logarítmicas.

Se ha buscado equilibrar la teoría y la práctica. La teoría es acompañada de numerosos ejemplos y problemas resueltos, además, se presentan muchos ejercicios propuestos al lector.

A lo largo de todo texto presentamos biografías y partes histórica relacionadas con los temas tratados.

CONTENIDO:

Capítulo 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.


Capítulo 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.


Capítulo 2. Inecuaciones y valor absoluto

-Propiedades Básicas de las Desigualdades.

-Inecuaciones Lineales.

-Inecuaciones Cuadráticas.

-Inecuaciones Racionales.

-Valor Absoluto.


Capítulo 3. Graficas de ecuaciones y la recta

-El plano Cartesiano.

-Gráficas de Ecuaciones.

-La Recta y la Ecuación de Primer Grado.


Capítulo 4. Funciones reales

-Funciones Reales y sus Gráficas.

-Operaciones con Funciones.

-Las Funciones como Modelos Matemáticos.

-Algunas Aplicaciones de las Funciones a la Economía.

Capítulo 5. Funciones exponenciales y logarítmicas

-Tipos de Interés y el Número e.

-Las Funciones Exponenciales.

-Las Funciones Logarítmicas.

-Aplicaciones de las Funciones Exponenciales y Logarítmicas.

Capítulo 6. Limites y continuidad

-Límite de una Función.

-Límites Unilaterales.

-Continuidad.

-Límites Infinitos. Límites en el Infinito y Asíntotas.

Capítulo 7. Diferenciación

-La Derivada.

-Técnicas de Derivación.

-Análisis Marginal.

-La Regla de la Cadena.

-Derivación Implícita.

-Derivadas de Orden Superior.

-Derivadas de las Funciones Exponenciales y Logarítmicas.

Capítulo 8. Aplicaciones de la derivada

-Monotonía y Teorema del Valor Medio.

-Máximos y Mínimos Relativos

-Concavidad y Criterio de la Segunda Derivada.

-Trazado cuidadoso del gráfico de una función.

-Máximos y Mínimos Absolutos.

-Problemas de Optimización.

-Elasticidad de la Demanda.

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