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A timeline of calculus and mathematical analysis. == 1000 to 1500 == * 1020 — Abul Wáfa — Discussed the quadrature of the parabola and the volume of the paraboloid. * 1021 — Ibn al-Haytham completes his ''Book of Optics'', which formulated and solved “Alhazen's problem” geometrically, and developed and proved the earliest general formula for infinitesimal and integral calculus using mathematical induction. * 12th century — Bhāskara II conceives differential calculus, and also develops Rolle's theorem, Pell's equation, a proof for the Pythagorean Theorem, computes π to 5 decimal places, and calculates the time taken for the earth to orbit the sun to 9 decimal places * 14th century — Madhava is considered the father of mathematical analysis, who also worked on the power series for pi and for sine and cosine functions, and along with other Kerala school mathematicians, founded the important concepts of Calculus * 14th century — Parameshvara, a Kerala school mathematician, presents a series form of the sine function that is equivalent to its Taylor series expansion, states the mean value theorem of differential calculus, and is also the first mathematician to give the radius of circle with inscribed cyclic quadrilateral * 1400 — Madhava discovers the series expansion for the inverse-tangent function, the infinite series for arctan and sin, and many methods for calculating the circumference of the circle, and uses them to compute π correct to 11 decimal places 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Timeline of calculus and mathematical analysis」の詳細全文を読む スポンサード リンク
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