Parameshvara (परमेश्वर) (1360-1425) was a major Indian mathematician of Madhava of Sangamagrama's Kerala school. He presented a series form of the sine function that is equivalent to its Taylor series expansion. Parameshvara - Birth. Paramesvara was born into a namboothiri brahmin family who were astrologers and astronomers. The family home was Vatasseri (also called Vatasreni) in the village of Alattur, Kerala. Paramesvara's coordinates with respect to Ujjain puts it at latitu ...

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Parameshvara - Birth Parameshvara - Work

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Madhava of Sangamagrama, Madhava of Sangamagrama - Contributions, Madhava of Sangamagrama - Kerala School of Astronomy and Mathematics

Read more here: » Madhava of Sangamagrama: Encyclopedia II - Madhava of Sangamagrama - Kerala School of Astronomy and Mathematics

Parameshvara's teachers included Rudra, Madhava and Narayana Pundit. Parameshvara wrote many commentaries on many mathematical and astronomical works, such as those by Bhaskara I and Aryabhatta. He made eclipse observations over a 55 year period, and constantly attempted to compare these with the theoretically computed positions of the planets. He revised planetary parameters based on his observations. Paramesvara most significant contributions is his mean value type formula for inverse interpolation of sine. He is the first ma ...

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Parameshvara, Parameshvara - Birth, Parameshvara - Work

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Achyuta Pisharati (1550–1621) was a renowned Sanskrit grammarian, astrologer and mathematician of his time. He was a student of Jyestadeva and a member of Madhava of Sangamagrama's Kerala school. He is remembered mostly for his part in the composition of his student Melpathur Narayana Bhattathiri's devotional poem, Narayaneeyam. Achyuta Pisharati - Works. He discovered the technique of 'the reduction of the ecliptic'. He authored Sphuta-nirnaya (sphuta roughly meaning < ...

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Achyuta Pisharati - Works Achyuta Pisharati - Narayaneeyam

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He discovered the technique of 'the reduction of the ecliptic'. He authored Sphuta-nirnaya (sphuta roughly meaning component parts<!not too sure!>, nirnaya meaning determining), Raasi-gola-sphuta-neeti (raasi meaning zodiac, gola meaning sphere and neeti roughly meaning rule), Karanottama (1593) and a 4 chapter treastise Uparagakriyakrama ...

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Achyuta Pisharati, Achyuta Pisharati - Works, Achyuta Pisharati - Narayaneeyam

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Pisharati is known to have scolded and provoked an errant Narayana to take up the Brahmin's duties of prayer and religious practices. He accepted Narayana as his Grammar student. Later when Pisharoti was struck with paralysis (or rheumatism by another account), Narayana, unable to bear the pain of his dear guru, by way of Gurudakshina took the disease upon himself. As a result Pisharoti is said to have been cured, but no medicine could cure Narayana. As a last resort, Narayana went to the Lord of Guruvayur and requested Thunjat Ramanujan Ezh ...

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Achyuta Pisharati, Achyuta Pisharati - Works, Achyuta Pisharati - Narayaneeyam

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He discovered the infinite series for arctan and sin and many methods for calculating the circumference of the circle. One of Madhava's series is known from the text Yuktibhasa which describes - The first term is the product of the given sine and radius of the desired arc divided by the cosine of the arc. The succeeding terms are obtained by a process of iteration when the first term is repeatedly multiplied by the square of the sine and divided by the square of the cosine. All the terms are then divided by the odd num ...

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Madhava of Sangamagrama, Madhava of Sangamagrama - Contributions, Madhava of Sangamagrama - Kerala School of Astronomy and Mathematics

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The Kerala School was a school of mathematics and astronomy founded by Madhava in Kerala (in South India) which included as its prominent members Parameshvara, Neelakanta Somayaji, Jyeshtadeva, Achyuta Pisharati, Melpathur Narayana Bhattathiri and Achyuta Panikkar. It flourished between the 14th and 16th centuries and has its intellectual roots with Aryabhatta who lived in the 5th century. The lineage continues down to modern times but the original research seems to have ended with Narayana Bhattathiri (1559-1632). These astronomers, in atte ...

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Indian mathematics, Indian mathematics - Indian contributions to mathematics, Indian mathematics - Harappan Mathematics 3300 BC - 1700 BC, Indian mathematics - Vedic Mathematics 1500 BC - 500 BC, Indian mathematics - Vedas 1500 BC - 500 BC, Indian mathematics - Samhitas 1500 BC - 500 BC, Indian mathematics - Lagadha 1350 BC - 800 BC, Indian mathematics - Yajnavalkya 1000 BC - 600 BC, Indian mathematics - Sulba Sutras 800 BC - 500 BC, Indian mathematics - Ancient Period 500 BC - 400 CE, Indian mathematics - Panini 500 BC - 400 BC, Indian mathematics - Pingala 400 BC - 200 BC, Indian mathematics - Vaychali Ganit 300 BC - 200 BC, Indian mathematics - Katyayana 200 BC, Indian mathematics - Jaina Mathematics 400 BC - 400 CE, Indian mathematics - Surya Siddhanta 300 CE - 400 CE, Indian mathematics - Classical Period 400 CE - 1200 CE, Indian mathematics - Aryabhata I 476-550, Indian mathematics - Bhaskara I 600-680, Indian mathematics - Brahmagupta 598-668, Indian mathematics - Shridhara Acharya 650-850, Indian mathematics - Mahavira Acharya 850, Indian mathematics - Aryabhata II 920-1000, Indian mathematics - Shripati Mishra 1019-1066, Indian mathematics - Nemichandra Siddhanta Chakravati 1100, Indian mathematics - Bhaskara Acharya Bhaskara II 1114-1185, Indian mathematics - Keralese Mathematics 1300 CE -1600 CE, Indian mathematics - Narayana Pandit 1340-1400, Indian mathematics - Madhava of Sangamagramma 1340-1425, Indian mathematics - Parameshvara 1370-1460, Indian mathematics - Nilakantha Somayaji 1444-1544, Indian mathematics - Jyesthadeva 1500-1575, Indian mathematics - Charges of Eurocentrism

Read more here: » Indian mathematics: Encyclopedia II - Indian mathematics - Keralese Mathematics 1300 CE -1600 CE

Kerala School - Narayana Pandit c. 1340-1400. Narayana Pandit, the earliest of the notable Keralese mathematicians, is known to have definitely written two works, an arithmetical treatise called Ganita Kaumudi and an algebraic treatise called Bijganita Vatamsa. He was strongly influenced by the work of Bhaskara II, which proves work from the classic period was known to Keralese mathematicians and was thus influential in the continued progress of the subject. Due to this influence Narayana is also th ...

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Kerala School, Kerala School - Keralese Mathematicians, Kerala School - Narayana Pandit c. 1340-1400, Kerala School - Madhava of Sangamagramma 1340-1425, Kerala School - Parameshvara c. 1370-1460, Kerala School - Nilakantha Somayaji 1444-1544, Kerala School - Jyesthadeva c. 1500-1575, Kerala School - Sankara Varman Early 1800s, Kerala School - Possible transmission of Keralese mathematics to Europe

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Sathanang Sutra, Bhagvati Sutra and Anoyogdwar Sutra are famous books of this time. Apart from these the book titled Tatvarthaadigyam Sutra Bhashya by Jaina philosopher Omaswati (135 BC) and the book titled Tiloyapannati of Aacharya (Guru) Yativrisham (176 BC) are famous writings of this time. Indian mathematicians during this period used notations for squares, cube and other exponents of numbers. They gave shape to Beezganit Samikaran (Algebraic Equations). ...

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Indian mathematics, Indian mathematics - Indian contributions to mathematics, Indian mathematics - Harappan Mathematics 3300 BC - 1700 BC, Indian mathematics - Vedic Mathematics 1500 BC - 500 BC, Indian mathematics - Vedas 1500 BC - 500 BC, Indian mathematics - Samhitas 1500 BC - 500 BC, Indian mathematics - Lagadha 1350 BC - 800 BC, Indian mathematics - Yajnavalkya 1000 BC - 600 BC, Indian mathematics - Sulba Sutras 800 BC - 500 BC, Indian mathematics - Ancient Period 500 BC - 400 CE, Indian mathematics - Panini 500 BC - 400 BC, Indian mathematics - Pingala 400 BC - 200 BC, Indian mathematics - Vaychali Ganit 300 BC - 200 BC, Indian mathematics - Katyayana 200 BC, Indian mathematics - Jaina Mathematics 400 BC - 400 CE, Indian mathematics - Surya Siddhanta 300 CE - 400 CE, Indian mathematics - Classical Period 400 CE - 1200 CE, Indian mathematics - Aryabhata I 476-550, Indian mathematics - Bhaskara I 600-680, Indian mathematics - Brahmagupta 598-668, Indian mathematics - Shridhara Acharya 650-850, Indian mathematics - Mahavira Acharya 850, Indian mathematics - Aryabhata II 920-1000, Indian mathematics - Shripati Mishra 1019-1066, Indian mathematics - Nemichandra Siddhanta Chakravati 1100, Indian mathematics - Bhaskara Acharya Bhaskara II 1114-1185, Indian mathematics - Keralese Mathematics 1300 CE -1600 CE, Indian mathematics - Narayana Pandit 1340-1400, Indian mathematics - Madhava of Sangamagramma 1340-1425, Indian mathematics - Parameshvara 1370-1460, Indian mathematics - Nilakantha Somayaji 1444-1544, Indian mathematics - Jyesthadeva 1500-1575, Indian mathematics - Charges of Eurocentrism

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There are a number of publications, including a recent paper of great interest written by D. Almeida, J. John and A. Zadorozhnyy, which suggest Keralese mathematics may have been transmitted to Europe. Kerala was in continuous contact with China, Arabia, and from around 1500, Europe as well, thus transmission would have been possible. There is no evidence by way of relevant manuscripts but the evidence of methodological similari ...

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Kerala School, Kerala School - Keralese Mathematicians, Kerala School - Narayana Pandit c. 1340-1400, Kerala School - Madhava of Sangamagramma 1340-1425, Kerala School - Parameshvara c. 1370-1460, Kerala School - Nilakantha Somayaji 1444-1544, Kerala School - Jyesthadeva c. 1500-1575, Kerala School - Sankara Varman Early 1800s, Kerala School - Possible transmission of Keralese mathematics to Europe

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The first appearance of evidence of the use of mathematics in the Indian subcontinent was in the Indus Valley Civilization, which dates back to around 3300 BC. Excavations at Harrapa, Mohenjo-daro and the surrounding area of the Indus River, have uncovered much evidence of the use of basic mathematics. The mathematics used by this early Harrapan civilisation was very much for practical means, and was primarily concerned with weights, measuring scales and a surprisingly advanced brick technology, which utilised ratios. The ratio for brick ...

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Indian mathematics, Indian mathematics - Indian contributions to mathematics, Indian mathematics - Harappan Mathematics 3300 BC - 1700 BC, Indian mathematics - Vedic Mathematics 1500 BC - 500 BC, Indian mathematics - Vedas 1500 BC - 500 BC, Indian mathematics - Samhitas 1500 BC - 500 BC, Indian mathematics - Lagadha 1350 BC - 800 BC, Indian mathematics - Yajnavalkya 1000 BC - 600 BC, Indian mathematics - Sulba Sutras 800 BC - 500 BC, Indian mathematics - Ancient Period 500 BC - 400 CE, Indian mathematics - Panini 500 BC - 400 BC, Indian mathematics - Pingala 400 BC - 200 BC, Indian mathematics - Vaychali Ganit 300 BC - 200 BC, Indian mathematics - Katyayana 200 BC, Indian mathematics - Jaina Mathematics 400 BC - 400 CE, Indian mathematics - Surya Siddhanta 300 CE - 400 CE, Indian mathematics - Classical Period 400 CE - 1200 CE, Indian mathematics - Aryabhata I 476-550, Indian mathematics - Bhaskara I 600-680, Indian mathematics - Brahmagupta 598-668, Indian mathematics - Shridhara Acharya 650-850, Indian mathematics - Mahavira Acharya 850, Indian mathematics - Aryabhata II 920-1000, Indian mathematics - Shripati Mishra 1019-1066, Indian mathematics - Nemichandra Siddhanta Chakravati 1100, Indian mathematics - Bhaskara Acharya Bhaskara II 1114-1185, Indian mathematics - Keralese Mathematics 1300 CE -1600 CE, Indian mathematics - Narayana Pandit 1340-1400, Indian mathematics - Madhava of Sangamagramma 1340-1425, Indian mathematics - Parameshvara 1370-1460, Indian mathematics - Nilakantha Somayaji 1444-1544, Indian mathematics - Jyesthadeva 1500-1575, Indian mathematics - Charges of Eurocentrism

Read more here: » Indian mathematics: Encyclopedia II - Indian mathematics - Harappan Mathematics 3300 BC - 1700 BC

This period is often known as the golden age of Indian Mathematics. Although earlier Indian mathematics was also very significant, this period saw great mathematicians such as Aryabhatta, Brahmagupta, Mahavira Acharya and Bhaskara Acharya give a broad and clear shape to almost all the branches of mathematics. Their important contributions to mathematics would spread throughout Asia and the Middle East, and eventually Europe and other parts of the world ...

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Indian mathematics, Indian mathematics - Indian contributions to mathematics, Indian mathematics - Harappan Mathematics 3300 BC - 1700 BC, Indian mathematics - Vedic Mathematics 1500 BC - 500 BC, Indian mathematics - Vedas 1500 BC - 500 BC, Indian mathematics - Samhitas 1500 BC - 500 BC, Indian mathematics - Lagadha 1350 BC - 800 BC, Indian mathematics - Yajnavalkya 1000 BC - 600 BC, Indian mathematics - Sulba Sutras 800 BC - 500 BC, Indian mathematics - Ancient Period 500 BC - 400 CE, Indian mathematics - Panini 500 BC - 400 BC, Indian mathematics - Pingala 400 BC - 200 BC, Indian mathematics - Vaychali Ganit 300 BC - 200 BC, Indian mathematics - Katyayana 200 BC, Indian mathematics - Jaina Mathematics 400 BC - 400 CE, Indian mathematics - Surya Siddhanta 300 CE - 400 CE, Indian mathematics - Classical Period 400 CE - 1200 CE, Indian mathematics - Aryabhata I 476-550, Indian mathematics - Bhaskara I 600-680, Indian mathematics - Brahmagupta 598-668, Indian mathematics - Shridhara Acharya 650-850, Indian mathematics - Mahavira Acharya 850, Indian mathematics - Aryabhata II 920-1000, Indian mathematics - Shripati Mishra 1019-1066, Indian mathematics - Nemichandra Siddhanta Chakravati 1100, Indian mathematics - Bhaskara Acharya Bhaskara II 1114-1185, Indian mathematics - Keralese Mathematics 1300 CE -1600 CE, Indian mathematics - Narayana Pandit 1340-1400, Indian mathematics - Madhava of Sangamagramma 1340-1425, Indian mathematics - Parameshvara 1370-1460, Indian mathematics - Nilakantha Somayaji 1444-1544, Indian mathematics - Jyesthadeva 1500-1575, Indian mathematics - Charges of Eurocentrism

Read more here: » Indian mathematics: Encyclopedia II - Indian mathematics - Classical Period 400 CE - 1200 CE

As a result of the mathematics required for the construction of religious altars, many rules and developments of geometry are found in Vedic works, along with many astronomical developments for religious purposes. These include the use of geometric shapes, including triangles, rectangles, squares, trapezia and circles, equivalence through numbers and area, squaring the circle and visa-versa, the Pythagorean theorem and Pythagorean triples, and computations of π. Vedic works also contain all four arithmetical operators (addition, subt ...

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Indian mathematics, Indian mathematics - Indian contributions to mathematics, Indian mathematics - Harappan Mathematics 3300 BC - 1700 BC, Indian mathematics - Vedic Mathematics 1500 BC - 500 BC, Indian mathematics - Vedas 1500 BC - 500 BC, Indian mathematics - Samhitas 1500 BC - 500 BC, Indian mathematics - Lagadha 1350 BC - 800 BC, Indian mathematics - Yajnavalkya 1000 BC - 600 BC, Indian mathematics - Sulba Sutras 800 BC - 500 BC, Indian mathematics - Ancient Period 500 BC - 400 CE, Indian mathematics - Panini 500 BC - 400 BC, Indian mathematics - Pingala 400 BC - 200 BC, Indian mathematics - Vaychali Ganit 300 BC - 200 BC, Indian mathematics - Katyayana 200 BC, Indian mathematics - Jaina Mathematics 400 BC - 400 CE, Indian mathematics - Surya Siddhanta 300 CE - 400 CE, Indian mathematics - Classical Period 400 CE - 1200 CE, Indian mathematics - Aryabhata I 476-550, Indian mathematics - Bhaskara I 600-680, Indian mathematics - Brahmagupta 598-668, Indian mathematics - Shridhara Acharya 650-850, Indian mathematics - Mahavira Acharya 850, Indian mathematics - Aryabhata II 920-1000, Indian mathematics - Shripati Mishra 1019-1066, Indian mathematics - Nemichandra Siddhanta Chakravati 1100, Indian mathematics - Bhaskara Acharya Bhaskara II 1114-1185, Indian mathematics - Keralese Mathematics 1300 CE -1600 CE, Indian mathematics - Narayana Pandit 1340-1400, Indian mathematics - Madhava of Sangamagramma 1340-1425, Indian mathematics - Parameshvara 1370-1460, Indian mathematics - Nilakantha Somayaji 1444-1544, Indian mathematics - Jyesthadeva 1500-1575, Indian mathematics - Charges of Eurocentrism

Read more here: » Indian mathematics: Encyclopedia II - Indian mathematics - Vedic Mathematics 1500 BC - 500 BC