The Differentiation of Vectors

B. Hague

Chapter 3 in An Introduction to Vector Analysis For Physicists and Engineers, 1970, pp 36-40 from Springer

Abstract: Abstract Suppose that V is a vector function of a scalar variable t; then when t changes from t to t + δt, V becomes V + δV. The ratio δV/δt is the average rate of change of V with t, and as δt becomes vanishingly small the ratio may possess a limiting value dV/dt which is the rate of increase of V, i.e. $$ \frac{{dV}}{{dt}} = \mathop {\lim }\limits_{\delta t \to 0} \frac{{\delta V}}{{\delta {t^ \bullet }}} $$

Date: 1970
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DOI: 10.1007/978-94-009-5841-8_3

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