1. The History and Development of Calculus
... , who used it to find the volume of a sphere. In the 12th century, the Indian mathematician Bhaskara II developed an early derivative representing infinitesimal change, and he described an early form of "Rolle's theorem". Around AD 1000, the Islamic mathematician Ibn al-Haytham (Alhazen) was the first to derive the formula for the sum of the fourth powers, and using ... he developed the integration of rational functions. Leibniz made extensive use of the expansion of functions into infinite power series, established the test for convergence of an alternating series, and gave the solution...
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- Grade Level: Undergraduate