Abstract
Newton and Leibniz independently developed calculus in the late seventeenth century. It plays a key role in describing how rapidly things change and may be employed to calculate the areas of regions under curves, the volumes of figures, and in finding tangents to curves. It is an important branch of mathematics concerned with limits, continuity, derivatives and integrals of functions.
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Notes
- 1.
The question of who first invented calculus led to a bitter controversy between Newton and Leibniz, with the latter accused of plagiarising Newton’s work. Newton an English mathematician and physicist was the giant of the late seventeenth century, and Leibnitz was a German mathematician and philosopher. Today, both Newton and Leibniz are credited with the independent development of calculus.
- 2.
The supremum is the least upper bound and the infinum is the greatest lower bound.
- 3.
For any function f that is continuous at x 0 then for any sequence {x n } converging on x 0 then \(\underset{n\to \infty }{\mathop{\lim }}\,\) f(x n ) = f(x 0).
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© 2013 Springer-Verlag London
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O’Regan, G. (2013). Calculus. In: Mathematics in Computing. Springer, London. https://doi.org/10.1007/978-1-4471-4534-9_15
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DOI: https://doi.org/10.1007/978-1-4471-4534-9_15
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