Joseph George Coffin of MIT and Clark University published his " Vector Analysis " in 1909; it too leaned heavily into applications.

22.

Just as vector analysis has dot products and cross products, so affinor analysis has different kinds of products for tensors of various levels.

23.

Vector analysis was motivated by James Clerk Maxwell's studies of electromagnetism, and specifically the need to express and manipulate conveniently certain differential equations.

24.

A few years later there was a debate between Heaviside and Peter Guthrie Tait about the relative merits of vector analysis and quaternions.

25.

Taylor taught continued to teach classes in advanced analytic geometry and vector analysis, in addition to integral equations, differential geometry, and tensor analysis.

26.

The first half of Gibbs's " Elements of Vector Analysis ", published in 1881, presents what is essentially the modern system of vector analysis.

27.

Since the commutator ij & minus; ji = 2k, the Lie bracket in this algebra is twice the cross product of ordinary vector analysis.

28.

The first half of Gibbs's " Elements of Vector Analysis ", published in 1881, presents what is essentially the modern system of vector analysis.

29.

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.

30.

This associative algebra was the source of the science of vector analysis in three dimensions as recounted in " A History of Vector Analysis ".

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