Line Integrals

  • Antonio Galbis
  • Manuel Maestre
Chapter
Part of the Universitext book series (UTX)

Abstract

In studying the motion of a particle along an arc it is convenient to consider the arc as the image of a vector-valued mapping \(\gamma: [a,b] \rightarrow \mathbb{R}^3\) defined on an interval of the real line and realize γ(t) as the position of the particle at time t. This viewpoint is also convenient in analyzing the behavior of a vector field along an arc and is the main motivation for the definitions that follow.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Antonio Galbis
    • 1
  • Manuel Maestre
    • 1
  1. 1.Depto. Análisis MatemáticoUniversidad de ValenciaValenciaSpain

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