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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© 2012 Springer Science+Business Media, LLC
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Galbis, A., Maestre, M. (2012). Line Integrals. In: Vector Analysis Versus Vector Calculus. Universitext. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-2200-6_2
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DOI: https://doi.org/10.1007/978-1-4614-2200-6_2
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