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Physical Sciences and Mathematics Commons

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Arts and Humanities

Journal of Humanistic Mathematics

2021

Archimedes

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Full-Text Articles in Physical Sciences and Mathematics

Archimedes Of Syracuse And Sir Isaac Newton: On The Quadrature Of A Parabola, Wyatte C. Hooper Jul 2021

Archimedes Of Syracuse And Sir Isaac Newton: On The Quadrature Of A Parabola, Wyatte C. Hooper

Journal of Humanistic Mathematics

Good mathematics stands the test of time. As culture changes, we often ask different questions, bringing new perspectives, but modern mathematics stands on ancient discoveries. Isaac Newton’s discovery of calculus (along with Leibniz) may seem old but is predated by Archimedes’ findings. Current mathematics students should be familiar with parabolas and simple curves; in our introductory calculus courses, we teach them to compute the areas under such curves. Our modern approach derives its roots from Newton’s work; however, we have filled in many of the gaps in the pursuit of mathematical rigor. What many students may not know is that …