# vector analysis in a sentence

### Examples

- Joseph George Coffin of MIT and Clark University published his "
*Vector Analysis*" in 1909; it too leaned heavily into applications. - Just as
*vector analysis*has dot products and cross products, so affinor analysis has different kinds of products for tensors of various levels. *Vector analysis*was motivated by James Clerk Maxwell's studies of electromagnetism, and specifically the need to express and manipulate conveniently certain differential equations.- A few years later there was a debate between Heaviside and Peter Guthrie Tait about the relative merits of
*vector analysis*and quaternions. - Taylor taught continued to teach classes in advanced analytic geometry and
*vector analysis*, in addition to integral equations, differential geometry, and tensor analysis. - The first half of Gibbs's " Elements of Vector Analysis ", published in 1881, presents what is essentially the modern system of
*vector analysis*. - Since the commutator ij & minus; ji = 2k, the Lie bracket in this algebra is twice the cross product of ordinary
*vector analysis*. - The first half of Gibbs's " Elements of
*Vector Analysis*", published in 1881, presents what is essentially the modern system of vector analysis. - From the mid-1880s, quaternions began to be displaced by
*vector analysis*, which had been developed by Josiah Willard Gibbs, Oliver Heaviside, and Hermann von Helmholtz. - This associative algebra was the source of the science of
*vector analysis*in three dimensions as recounted in " A History of Vector Analysis ".