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* 12th century – Bhaskara Acharya conceives [[differential calculus]], and also develops [[Rolle's theorem]], [[Pell's equation]], a proof for the [[Pythagorean theorem]], proves that division by zero is infinity, computes [[pi|π]] to 5 decimal places, and calculates the time taken for the Earth to orbit the Sun to 9 decimal places. |
* 12th century – Bhaskara Acharya conceives [[differential calculus]], and also develops [[Rolle's theorem]], [[Pell's equation]], a proof for the [[Pythagorean theorem]], proves that division by zero is infinity, computes [[pi|π]] to 5 decimal places, and calculates the time taken for the Earth to orbit the Sun to 9 decimal places. |
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* 1130 – [[Al-Samawal al-Maghribi]] gave a definition of algebra: "[it is concerned] with operating on unknowns using all the arithmetical tools, in the same way as the arithmetician operates on the known."<ref name=MacTutor/> |
* 1130 – [[Al-Samawal al-Maghribi]] gave a definition of algebra: "[it is concerned] with operating on unknowns using all the arithmetical tools, in the same way as the arithmetician operates on the known."<ref name=MacTutor/> |
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* 1135 – [[ |
* 1135 – [[Sharaf al-Din al-Tusi]] followed al-Khayyam's application of algebra to geometry, and wrote a treatise on cubic equations that "represents an essential contribution to another algebra which aimed to study curves by means of equations, thus inaugurating the beginning of algebraic geometry".<ref name=MacTutor>[http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Arabic_mathematics.html Arabic mathematics], ''[[MacTutor History of Mathematics archive]]'', [[University of St Andrews]], Scotland</ref> |
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* 1202 – [[Leonardo of Pisa|Leonardo Fibonacci]] demonstrates the utility of [[Hindu–Arabic numerals]] in his [[Liber Abaci]] (''Book of the Abacus''). |
* 1202 – [[Leonardo of Pisa|Leonardo Fibonacci]] demonstrates the utility of [[Hindu–Arabic numerals]] in his [[Liber Abaci]] (''Book of the Abacus''). |
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* 1247 – [[Qin Jiushao]] publishes ''Shùshū Jiǔzhāng'' (''[[Mathematical Treatise in Nine Sections]]''). |
* 1247 – [[Qin Jiushao]] publishes ''Shùshū Jiǔzhāng'' (''[[Mathematical Treatise in Nine Sections]]''). |
This is a timelineofpure and applied mathematics history. It is divided here into three stages, corresponding to stages in the development of mathematical notation: a "rhetorical" stage in which calculations are described purely by words, a "syncopated" stage in which quantities and common algebraic operations are beginning to be represented by symbolic abbreviations, and finally a "symbolic" stage, in which comprehensive notational systems for formulas are the norm.
Major mathematics areas
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Foundations |
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Algebra |
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Analysis |
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Discrete |
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Geometry |
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Number theory |
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Topology |
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Applied |
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Computational |
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Related topics |
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