brief history of aryabatta
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Name
While there is a tendency to misspell his name as "Aryabhatta" by analogy with other names having the "bhatta" suffix, his name is properly spelled Aryabhata: every astronomical text spells his name thus,[7] including Brahmagupta's references to him "in more than a hundred places by name".[1] Furthermore, in most instances "Aryabhatta" would not fit the metre either.[7]
Time and place of birth
Aryabhata mentions in the Aryabhatiya that it was composed 3,600 years into the Kali Yuga, when he was 23 years old. This corresponds to 499 CE, and implies that he was born in 476.[5] Aryabhata called himself a native of Kusumapura or Pataliputra (present day Patna, Bihar).[1]
Other hypothesis
Bhāskara I describes Aryabhata as āśmakīya, "one belonging to the Aśmaka country." During the Buddha's time, a branch of the Aśmaka people settled in the region between the Narmada and Godavari rivers in central India.[7][8]
It has been claimed that the aśmaka (Sanskrit for "stone") where Aryabhata originated may be the present day Kodungallur which was the historical capital city of Thiruvanchikkulam of ancient Kerala.[9] This is based on the belief that Koṭuṅṅallūr was earlier known as Koṭum-Kal-l-ūr ("city of hard stones"); however, old records show that the city was actually Koṭum-kol-ūr ("city of strict governance"). Similarly, the fact that several commentaries on the Aryabhatiya have come from Kerala has been used to suggest that it was Aryabhata's main place of life and activity; however, many commentaries have come from outside Kerala, and the Aryasiddhanta was completely unknown in Kerala.[7] K. Chandra Hari has argued for the Kerala hypothesis on the basis of astronomical evidence.[10]
Aryabhata mentions "Lanka" on several occasions in the Aryabhatiya, but his "Lanka" is an abstraction, standing for a point on the equator at the same longitude as his Ujjayini.[11]
Education
It is fairly certain that, at some point, he went to Kusumapura for advanced studies and lived there for some time.[12] Both Hindu and Buddhist tradition, as well as Bhāskara I (CE 629), identify Kusumapura as Pāṭaliputra, modern Patna.[7] A verse mentions that Aryabhata was the head of an institution (kulapa) at Kusumapura, and, because the university of Nalanda was in Pataliputra at the time and had an astronomical observatory, it is speculated that Aryabhata might have been the head of the Nalanda university as well.[7] Aryabhata is also reputed to have set up an observatory at the Sun temple in Taregana, Bihar.[13]
Works
Aryabhata is the author of several treatises on mathematics and astronomy, some of which are lost.
His major work, Aryabhatiya, a compendium of mathematics and astronomy, was extensively referred to in the Indian mathematical literature and has survived to modern times. The mathematical part of the Aryabhatiya covers arithmetic, algebra, plane trigonometry, and spherical trigonometry. It also contains continued fractions, quadratic equations, sums-of-power series, and a table of sines.
The Arya-siddhanta, a lost work on astronomical computations, is known through the writings of Aryabhata's contemporary, Varahamihira, and later mathematicians and commentators, including Brahmagupta and Bhaskara I. This work appears to be based on the older Surya Siddhanta and uses the midnight-day reckoning, as opposed to sunrise in Aryabhatiya. It also contained a description of several astronomical instruments: the gnomon (shanku-yantra), a shadow instrument (chhAyA-yantra), possibly angle-measuring devices, semicircular and circular (dhanur-yantra / chakra-yantra), a cylindrical stick yasti-yantra, an umbrella-shaped device called the chhatra-yantra, and water clocks of at least two types, bow-shaped and cylindrical.[8]
A third text, which may have survived in the Arabic translation, is Al ntf or Al-nanf. It claims that it is a translation by Aryabhata, but the Sanskrit name of this work is not known. Probably dating from the 9th century, it is mentioned by the Persian scholar and chronicler of India, Abū Rayhān al-Bīrūnī.[8]
While there is a tendency to misspell his name as "Aryabhatta" by analogy with other names having the "bhatta" suffix, his name is properly spelled Aryabhata: every astronomical text spells his name thus,[7] including Brahmagupta's references to him "in more than a hundred places by name".[1] Furthermore, in most instances "Aryabhatta" would not fit the metre either.[7]
Time and place of birth
Aryabhata mentions in the Aryabhatiya that it was composed 3,600 years into the Kali Yuga, when he was 23 years old. This corresponds to 499 CE, and implies that he was born in 476.[5] Aryabhata called himself a native of Kusumapura or Pataliputra (present day Patna, Bihar).[1]
Other hypothesis
Bhāskara I describes Aryabhata as āśmakīya, "one belonging to the Aśmaka country." During the Buddha's time, a branch of the Aśmaka people settled in the region between the Narmada and Godavari rivers in central India.[7][8]
It has been claimed that the aśmaka (Sanskrit for "stone") where Aryabhata originated may be the present day Kodungallur which was the historical capital city of Thiruvanchikkulam of ancient Kerala.[9] This is based on the belief that Koṭuṅṅallūr was earlier known as Koṭum-Kal-l-ūr ("city of hard stones"); however, old records show that the city was actually Koṭum-kol-ūr ("city of strict governance"). Similarly, the fact that several commentaries on the Aryabhatiya have come from Kerala has been used to suggest that it was Aryabhata's main place of life and activity; however, many commentaries have come from outside Kerala, and the Aryasiddhanta was completely unknown in Kerala.[7] K. Chandra Hari has argued for the Kerala hypothesis on the basis of astronomical evidence.[10]
Aryabhata mentions "Lanka" on several occasions in the Aryabhatiya, but his "Lanka" is an abstraction, standing for a point on the equator at the same longitude as his Ujjayini.[11]
Education
It is fairly certain that, at some point, he went to Kusumapura for advanced studies and lived there for some time.[12] Both Hindu and Buddhist tradition, as well as Bhāskara I (CE 629), identify Kusumapura as Pāṭaliputra, modern Patna.[7] A verse mentions that Aryabhata was the head of an institution (kulapa) at Kusumapura, and, because the university of Nalanda was in Pataliputra at the time and had an astronomical observatory, it is speculated that Aryabhata might have been the head of the Nalanda university as well.[7] Aryabhata is also reputed to have set up an observatory at the Sun temple in Taregana, Bihar.[13]
Works
Aryabhata is the author of several treatises on mathematics and astronomy, some of which are lost.
His major work, Aryabhatiya, a compendium of mathematics and astronomy, was extensively referred to in the Indian mathematical literature and has survived to modern times. The mathematical part of the Aryabhatiya covers arithmetic, algebra, plane trigonometry, and spherical trigonometry. It also contains continued fractions, quadratic equations, sums-of-power series, and a table of sines.
The Arya-siddhanta, a lost work on astronomical computations, is known through the writings of Aryabhata's contemporary, Varahamihira, and later mathematicians and commentators, including Brahmagupta and Bhaskara I. This work appears to be based on the older Surya Siddhanta and uses the midnight-day reckoning, as opposed to sunrise in Aryabhatiya. It also contained a description of several astronomical instruments: the gnomon (shanku-yantra), a shadow instrument (chhAyA-yantra), possibly angle-measuring devices, semicircular and circular (dhanur-yantra / chakra-yantra), a cylindrical stick yasti-yantra, an umbrella-shaped device called the chhatra-yantra, and water clocks of at least two types, bow-shaped and cylindrical.[8]
A third text, which may have survived in the Arabic translation, is Al ntf or Al-nanf. It claims that it is a translation by Aryabhata, but the Sanskrit name of this work is not known. Probably dating from the 9th century, it is mentioned by the Persian scholar and chronicler of India, Abū Rayhān al-Bīrūnī.[8]
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Aryabhatta was an extraordinary teacher and scholar who had immense knowledge about mathematics and astronomy. He suggested the heliocentric theory which proved that the sun is located in the centre of the solar system and all the planets revolve around it. In fact he made this discovery way before Copernicus made this discovery in the West.
Aryabhatta was born in Kerala and lived from 476 AD to 550 AD, he completed his education from the ancient university of Nalanda and later he moved to Bihar and continued his studies in the great centre of learning located in close proximity to Kusumapura in Bihar and lived in Taregana District in Bihar in the late 5th and early 6th century.
His contribution to the astronomy
The astronomical calculations and deductions suggested by Aryabhatta are extraordinary by the fact that he didn’t have any modern equipment or instrument to do it. He had a very sharp brain and his dedication and hard work led him to solve the various mysteries of the solar system. He also deduced that the earth is round in shape and rotates along its own axis, which forms the existence of day and night. Many superstitious beliefs were challenged by him and he presented scientific reasons to prove them wrong.
He also said that the moon has no light and shines because it reflects light from the sun. He also proved wrong the false belief that eclipse is caused because of the shadows formed by the shadows cast by the earth and the moon. Aryabhatta used epicycles in a similar manner to the Greek Philosopher Ptolemy to illustrate the inconsistent movement of some planets. This great astronomer wrote the famous treatise Aryabhatiya, which was based on astronomy in 499 AD. This treatise was acknowledged as a masterpiece. In honour of this excellent work Aryabhatta was made head of the Nalanda University by the Gupta ruler Buddhagupta.
Aryabhatiya – a treatise that solved various mysteries related to astronomy
Aryabhatiya is a treatise that includes various facts related to Hindu mathematics and astronomy that appeared during those times. The treatise comprises of four chapters that are concerned with sine tables and astronomical constants. It also comprises of rules to calculate the longitudes of the planets by utilizing epicycles and eccentrics and also the rules related to trigonometry and calculation of eclipses. There is a ganita section in the Aryabhatiya, which include various innovative methods for calculating the lengths of the chords of circles by using the half chord method unlike the Greeks who used the full chord method.
Contribution in the approximation of pi
Aryabhatta is among the mathematicians who brought new deductions and theories in mathematics and astronomy. His contribution to the mathematics is unmatched and cannot be ignored, as he was the one who deduced the approximate value of pi, which he found it to be 3.14. He also derived the correct formulas for calculating the areas of triangles and circles. He also played a very important role in the formation of the table of Sines.
His role in the place value system
He also played a very major role in determining the place value system and discovering the zero. He also worked on the summation series of square roots and cube roots. He is also regarded as the first to use zero in the place value system. He also calculated the sidereal rotation, which is the rotation of the earth in relation to the fixed stars. His theories and deductions formed the base of the trigonometry and algebra.
For his extraordinary works and contributions to mathematics and astronomy, India’s first satellite was named as Aryabhatta. Aryabhatta Research Institute of Observational Sciences near Nainital and the Aryabhatta Knowledge University in Patna, in India are also named after him
mark as brainliest
Aryabhatta was born in Kerala and lived from 476 AD to 550 AD, he completed his education from the ancient university of Nalanda and later he moved to Bihar and continued his studies in the great centre of learning located in close proximity to Kusumapura in Bihar and lived in Taregana District in Bihar in the late 5th and early 6th century.
His contribution to the astronomy
The astronomical calculations and deductions suggested by Aryabhatta are extraordinary by the fact that he didn’t have any modern equipment or instrument to do it. He had a very sharp brain and his dedication and hard work led him to solve the various mysteries of the solar system. He also deduced that the earth is round in shape and rotates along its own axis, which forms the existence of day and night. Many superstitious beliefs were challenged by him and he presented scientific reasons to prove them wrong.
He also said that the moon has no light and shines because it reflects light from the sun. He also proved wrong the false belief that eclipse is caused because of the shadows formed by the shadows cast by the earth and the moon. Aryabhatta used epicycles in a similar manner to the Greek Philosopher Ptolemy to illustrate the inconsistent movement of some planets. This great astronomer wrote the famous treatise Aryabhatiya, which was based on astronomy in 499 AD. This treatise was acknowledged as a masterpiece. In honour of this excellent work Aryabhatta was made head of the Nalanda University by the Gupta ruler Buddhagupta.
Aryabhatiya – a treatise that solved various mysteries related to astronomy
Aryabhatiya is a treatise that includes various facts related to Hindu mathematics and astronomy that appeared during those times. The treatise comprises of four chapters that are concerned with sine tables and astronomical constants. It also comprises of rules to calculate the longitudes of the planets by utilizing epicycles and eccentrics and also the rules related to trigonometry and calculation of eclipses. There is a ganita section in the Aryabhatiya, which include various innovative methods for calculating the lengths of the chords of circles by using the half chord method unlike the Greeks who used the full chord method.
Contribution in the approximation of pi
Aryabhatta is among the mathematicians who brought new deductions and theories in mathematics and astronomy. His contribution to the mathematics is unmatched and cannot be ignored, as he was the one who deduced the approximate value of pi, which he found it to be 3.14. He also derived the correct formulas for calculating the areas of triangles and circles. He also played a very important role in the formation of the table of Sines.
His role in the place value system
He also played a very major role in determining the place value system and discovering the zero. He also worked on the summation series of square roots and cube roots. He is also regarded as the first to use zero in the place value system. He also calculated the sidereal rotation, which is the rotation of the earth in relation to the fixed stars. His theories and deductions formed the base of the trigonometry and algebra.
For his extraordinary works and contributions to mathematics and astronomy, India’s first satellite was named as Aryabhatta. Aryabhatta Research Institute of Observational Sciences near Nainital and the Aryabhatta Knowledge University in Patna, in India are also named after him
mark as brainliest
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