Abstract
The differential calculus was invented by Isaac Newton in the years 1664–5 to give a precise mathematical formulation to the laws of motion. Let us recall Newton’s three laws of motion: they are
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(1)
Every body will continue in its state of rest or uniform motion in a straight line unless acted on by an impressed force;
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(2)
Rate of change of momentum is proportional to the impressed force and takes place in the line of action of the impressed force;
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(3)
Action and reaction are equal and opposite.
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© 1958 P. J. Hilton
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Hilton, P.J. (1958). Rate of Change and Differentiation. In: Differential Calculus. Library of Mathematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-6087-2_2
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DOI: https://doi.org/10.1007/978-94-011-6087-2_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7100-4341-2
Online ISBN: 978-94-011-6087-2
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