13 Facts About Calculus

1.

Calculus used the results to carry out what would now be called an integration of this function, where the formulae for the sums of integral squares and fourth powers allowed him to calculate the volume of a paraboloid.

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2.

Calculus used the methods of calculus to solve the problem of planetary motion, the shape of the surface of a rotating fluid, the oblateness of the earth, the motion of a weight sliding on a cycloid, and many other problems discussed in his Principia Mathematica.

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3.

Calculus did not publish all these discoveries, and at this time infinitesimal methods were still considered disreputable.

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4.

Calculus is regarded as an independent inventor of and contributor to calculus.

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5.

Calculus's contribution was to provide a clear set of rules for working with infinitesimal quantities, allowing the computation of second and higher derivatives, and providing the product rule and chain rule, in their differential and integral forms.

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6.

Calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance.

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7.

Calculus is used to gain a more precise understanding of the nature of space, time, and motion.

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8.

Calculus provides tools, especially the limit and the infinite series, that resolve the paradoxes.

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9.

Calculus is usually developed by working with very small quantities.

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10.

Calculus is used in every branch of the physical sciences, actuarial science, computer science, statistics, engineering, economics, business, medicine, demography, and in other fields wherever a problem can be mathematically modeled and an optimal solution is desired.

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11.

Calculus can be used in conjunction with other mathematical disciplines.

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12.

Calculus is used to find approximate solutions to equations; in practice it is the standard way to solve differential equations and do root finding in most applications.

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13.

Calculus can be applied to understand how quickly a drug is eliminated from a body or how quickly a cancerous tumour grows.

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