Корично изображение Електронна книга

Calculus /

This overview of the central ideas of calculus provides many examples of how calculus is used to translate many real world phenomena into mathematical functions.

Основен автор: Iversen, Gudmund R.
Формат: Електронна книга
Език: English
Публикувано: Thousand Oaks, Calif. : Sage Publications, ℗♭1996.
Серия: Quantitative applications in the social sciences ; no. 07-110.
Предмети:
Онлайн достъп: http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=24697
Подобни документи: Print version:: Calculus.
Съдържание:
  • 1. Mathematical functions
  • Graphs of functions
  • Continuity
  • Calculus
  • Differentiation and integration
  • Duality
  • 2. Differentiation
  • Definition of the derivative
  • Simple examples
  • The derivative of a sum of two functions
  • Other functions
  • Derivatives of a product and a quotient of two functions
  • The chain rule
  • Different notations
  • Higher derivatives
  • List of derivatives
  • 3. Integration
  • The definite integral
  • Area and slope
  • Adding small rectangles
  • The fundamental theorem of calculus
  • The integral as a function of a limit
  • Specific integrals
  • Integration methods
  • List of integrals
  • 4. Applications
  • Maximum and minimum
  • Integration
  • Distance, speed, and acceleration
  • Applications in statistics
  • Applications in the social sciences.