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- Indian_mathematics abstract "Indian mathematics emerged in the Indian subcontinent from 1200 BC until the end of the 18th century. In the classical period of Indian mathematics (400 AD to 1600 AD), important contributions were made by scholars like Aryabhata, Brahmagupta, Mahāvīra (mathematician), Bhaskara II, Madhava of Sangamagrama and Nilakantha Somayaji. The decimal number system in use today was first recorded in Indian mathematics. Indian mathematicians made early contributions to the study of the concept of zero as a number, negative numbers, arithmetic, and algebra. In addition, trigonometrywas further advanced in India, and, in particular, the modern definitions of sine and cosine were developed there. These mathematical concepts were transmitted to the Middle East, China, and Europe and led to further developments that now form the foundations of many areas of mathematics.Ancient and medieval Indian mathematical works, all composed in Sanskrit, usually consisted of a section of sutras in which a set of rules or problems were stated with great economy in verse in order to aid memorization by a student. This was followed by a second section consisting of a prose commentary (sometimes multiple commentaries by different scholars) that explained the problem in more detail and provided justification for the solution. In the prose section, the form (and therefore its memorization) was not considered so important as the ideas involved. All mathematical works were orally transmitted until approximately 500 BCE; thereafter, they were transmitted both orally and in manuscript form. The oldest extant mathematical document produced on the Indian subcontinent is the birch bark Bakhshali Manuscript, discovered in 1881 in the village of Bakhshali, near Peshawar (modern day Pakistan) and is likely from the 7th century CE.A later landmark in Indian mathematics was the development of the series expansions for trigonometric functions (sine, cosine, and arc tangent) by mathematicians of the Kerala school in the 15th century CE. Their remarkable work, completed two centuries before the invention of calculus in Europe, provided what is now considered the first example of a power series (apart from geometric series). However, they did not formulate a systematic theory of differentiation and integration, nor is there any direct evidence of their results being transmitted outside Kerala.".
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- Indian_mathematics wikiPageExternalLink SulbaSutras.pdf.
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- Indian_mathematics subject Category:Indian_mathematics.
- Indian_mathematics subject Category:Science_and_technology_in_India.
- Indian_mathematics comment "Indian mathematics emerged in the Indian subcontinent from 1200 BC until the end of the 18th century. In the classical period of Indian mathematics (400 AD to 1600 AD), important contributions were made by scholars like Aryabhata, Brahmagupta, Mahāvīra (mathematician), Bhaskara II, Madhava of Sangamagrama and Nilakantha Somayaji. The decimal number system in use today was first recorded in Indian mathematics.".
- Indian_mathematics label "Indian mathematics".
- Indian_mathematics label "Indiase wiskunde".
- Indian_mathematics label "Indische Mathematik".
- Indian_mathematics label "Matemática en la India".
- Indian_mathematics label "Mathématiques indiennes".
- Indian_mathematics label "История математики в Индии".
- Indian_mathematics label "رياضيات هندية".
- Indian_mathematics label "インドの数学".
- Indian_mathematics sameAs Indische_Mathematik.
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- Indian_mathematics sameAs Matemática_en_la_India.
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- Indian_mathematics sameAs インドの数学.
- Indian_mathematics sameAs Indiase_wiskunde.
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- Indian_mathematics sameAs Q1279571.
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