How Newton and Leibniz revolutionized mathematics through the invention of calculus
In short: Discover how two giants of science independently transformed mathematics. This video explores the essential insights of Isaac Newton and Gottfried Wilhelm Leibniz, whose development of calculus provided a uniform way to solve a vast array of complex mathematical problems.
The video examines the distinct origins and influences of Isaac Newton and Leibniz. Newton, who became the Lucasian Professor of Mathematics at Cambridge in 1669, developed his mathematical methods between 1665 and 1670. He viewed variables as 'fluents' that flow with time, with their rates of change called 'fluxions.'
By using Cartesian algebra and infinite series, these thinkers created algorithms that could be applied to a wide class of problems. Newton's work on the relationship between tangents and areas eventually led to the analytic processes of differentiation and integration.
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Sources
- Summary by Intellect · source: Newton and Leibniz: Crash Course History of Science #17
- Also: Mathematics - Newton, Leibniz, Calculus | Britannica
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