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500
Aryabhata used infinitesimals to study the motion of the moon
Wikipedia description The use of infinitesimals to study rates of change can be found in Indian mathematics, perhaps as early as 500 AD, by the astronomer and mathematician, Arybhata. -
Period: 500 to
History of Differentiation
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Jan 1, 1021
Book of Optics
"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." -
Jan 1, 1100
Bhāskara II conceives differential calculus
"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." -
Jan 1, 1300
Mean value theorem of differential calculus
"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." -
Jan 1, 1501
Foundation for a complete system of fluxions (derivatives)
"Nilakantha Somayaji writes the 'Tantra Samgraha', which lays the foundation for a complete system of fluxions (derivatives), and expands on concepts from his previous text, the 'Aryabhatiya Bhasya'." -
First Attempt to Differentiate
The problem of finding the tangent to a curve has been studied by many mathematicians since Archimedes explored the question in Antiquity. The first attempt at determining the tangent to a curve that resembled the modern method of the Calculus came from Gilles Persone de Roberval during the 1630's and 1640's. -
Isaac Newton discovered the general binomial theorem
The origins of the differential and integral calculus - 2 Newton especially studied Descartes’s La Geometrie and Wallis’s Arithmetica infinitorum, which strongly influenced his work on analytic geometry and algebra, and on calculus. He also studied the work of Fermat and James Gregory. At the beginning of 1665, Newton discovered the general binomial theorem. -
The study of differential equations began
"According to some historians of mathematics, the study of differential equations began in 1675, when Gottfried Wilhelm von Leibniz (1646-1716) wrote the equation:∫ x dx = (1/2)x2. [16]." -
Acta Eruditorum
"n 1682, Leibniz became a collaborator on the new Leipzig periodical, Acta Eruditorum, in which he published his epoch-making six page paper on the differential calculus in 1684 [11], followed two years later (1686) by a paper containing the rudiments of the integral calculus. [19]." -
Separation of variables for ordinary differential equations
"Gottfried Leibniz discovers the technique of separation of variables for ordinary differential equations."
