Calculo Integral: Con Funciones Trascendentes Tempranas

Name: Calculo Integral: Con Funciones Trascendentes Tempranas
Brand: Atlantic Books
SKU: 9789806588073
Price: 2960.0 INR
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by Jorge Saenz

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ISBN13: 9789806588073
Binding: Paperback
Subject: N/A
Publisher: Editorial Hipotenusa
Publisher Imprint: Editorial Hipotenusa
Publication Date: May 16, 2016
Pages: 738
Original Price: GBP 25.16
Language: Spanish
Edition: N/A
Item Weight: 1153 grams
BISAC Subject(s): Calculus

About The Book

Obra diseñada para ser el texto de un segundo o un tercer curso de Cálculo, para estudiantes de ciencias o ingeniería.

Este texto, junto al libro Cálculo Diferencial, cubren todo, o casi todo, el contenido del cálculo de una variable.

Se ha buscado equilibrar la teoría, la práctica y las aplicaciones. Cada tema es acompañado de numerosos ejemplos. Cada sección es reforzada con una selección de problemas resueltos. Aquí, los problemas típicos y de relevancia, son desarrollados con todo detalle. La gran mayoría de teoremas son presentados con su respectiva demostración. Además, a lo largo de toda la obra, son resaltados ciertos aspectos históricos.

CONTENIDO:

Capítulo 1. La integral indefinida

-La antiderivada.

-Integración por sustitución.

-Integración por partes

Capítulo 2. Otras tecnicas de integración

-Integrales de productos trigonométricas.

-Sustitución trigonométrica.

-Integrales Hiperbólicas.

-Integración por fracciones parciales: Casos I y II.

-Integración por fracciones parciales: Casos III y IV.

-Integrales racionales de seno y coseno. Sustitución de Weirerstrass.

-Algunas integrales irracionales.

-Ecuaciones diferenciales elementales.

Capítulo 3. La integral definida

-La notación sigma.

-Área.

-La integral definida.

-Área entre curvas.

-Valor medio para integrales.

-Integración numérica.

Capítulo 4. Aplicaciones de la integral definida

-Volumen. Método de las rebanadas.

-Volumen de un sólido de revolución. Métodos del disco y de las arandelas

-Volumen. Método de los tubos cilíndricos.

-Longitud de una curva plana.

-Área de una superficie de revolución.

-Momentos y centros de masa.

-Trabajo.

-Presión y fuerza hidrostática.

Capítulo 5. Integrales impropias y algunas funciones especiales

-Introducción.

-Integrales impropias de primera especie: Límites de integración infinitos

-Integrales impropias de segunda especie: Integrandos infinitos

-Criterios de convergencia para integrales impropias.

-La función gamma.

-La función beta.

-Transformada de Laplace.

Capítulo 6. Ecuaciones paramétricas

-Ecuaciones paramétricas.

-Pendiente y concavidad de curvas paramétricas.

-Longitudes, áreas, volúmenes y curvas paramétricas

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