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Topic: Aryabhata II


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In the News (Wed 15 Feb 12)

  
  Aryabhata - Wikipedia, the free encyclopedia
Aryabhata (आर्यभट) Āryabhaṭa) is the first of the great astronomers of the classical age of India.
Aryabhata gave the world the digit "0" (zero) for which he became immortal.
This book is divided into four chapters: (i) the astronomical constants and the sine table (ii) mathematics required for computations (iii) division of time and rules for computing the longitudes of planets using eccentrics and epicycles (iv) the armillary sphere, rules relating to problems of trigonometry and the computation of eclipses.
en.wikipedia.org /wiki/Aryabhata   (307 words)

  
 Aryabhata_II   (Site not responding. Last check: 2007-10-15)
This is deduced from the usual arguments such as which authors Aryabhata II refers to and which refer to him.
Aryabhata II also gave a method to calculate the cube root of a number, but his method was not new, being based on that given many years earlier by Aryabhata I, see for example [5].
Aryabhata II constructed a sine table correct up to five decimal places when measured in decimal parts of the radius, see [4].
www-history.mcs.st-and.ac.uk /history/Mathematicians/Aryabhata_II.html   (436 words)

  
 Aryabhata's Contribution to Indian Mathematics   (Site not responding. Last check: 2007-10-15)
Aryabhata’s origin is not certain, but it is speculated that he lived in Kusumapura, a city that had, at the time, a thriving mathematical community.
Aryabhata’s number system also traveled into the Muslim community at its peak in the seventh century, which is a testament to the possible flexibility of the representation of numbers.
Aryabhata’s mathematical problems and ideas were approached in a genuinely unique way, and served as an inspiration for future mathematicians and astronomers to criticize, comment on, and supplement.
pages.cpsc.ucalgary.ca /~kessler/aryabhata.html   (2060 words)

  
 VedicNumbers.com   (Site not responding. Last check: 2007-10-15)
Aryabhata is also known as Aryabhata I,wrote Aryabhatiya when he was twenty-three years old,which he finished in 499.
Aryabhata uses the kuttaka (means "to pulverise") method, consisted of breaking the problem down into new problems where the coefficients became smaller and smaller with each step.
Bhaskara is also known as Bhaskara II or as Bhaskaracharya, may be considered the high point of Indian mathematical knowledge in the 12th century.
www.vedicnumbers.com /history.htm   (453 words)

  
 Aryabhata - free-definition   (Site not responding. Last check: 2007-10-15)
Aryabhata (Āryabhaṭa) is the first of the great astronomers of the classical age of India.
What is surprising is that elsewhere, Aryabhata does not use this value, but instead uses the square root of 10 ≈ 3.1622.
Aryabhata does not explain how he found this accurate value.
www.free-definition.com /Aryabhatta.html   (338 words)

  
 The Aryabhatiya: Foundations of Indian Mathematics | Gongol.com
In light of this, some scholars suggest that Aryabhata intended for his Aryabhatiya to be a commentary on previous mathematicians and astronomers or possibly a skeletal outline of his small contributions to the canon of knowledge (Srinivasiengar 42).
Aryabhata goes on to provide methods for finding square roots and cube roots (tasks that would be far more difficult prior to the development of a place value system).
Aryabhata was not the first Indian mathematician to display that he could find square roots - Jain mathematicians had shown great proficiency at this before him - but the Aryabhatiya is the oldest extant work which provides a method for finding square roots.
www.gongol.com /research/math/aryabhatiya   (1800 words)

  
 ARYABHATA   (Site not responding. Last check: 2007-10-15)
Aryabhata (??????) Aryabha?a) is the first of the great astronomers of the classical age of India.
He was born in 476 AD in Ashmaka but later lived in Kusumapura, which his commentator Bhaskara I (629 AD) identifies with Patilputra (modern Patna).
His book, the Aryabhatiya, presented astronomical and mathematical theories in which the Earth was taken to be spinning on its axis and the periods of the planets were given with respect to the sun (in other words, it was heliocentric).
www.news-olympics.com /Aryabhata   (306 words)

  
 Bhaskara II --  Encyclopædia Britannica
Bhaskara II was born in 1114 in Biddur, India.
Aryabhata calculated pi to a very accurate value of 3.1416, and Brahmagupta and Bhaskara II advanced the study of indeterminate equations.
Mohammad II (Mehmed the Conqueror) (1432–81), Ottoman sultan, born in Adrianople (now Edirne); during rule (1444–46 and 1451–81), captured Constantinople and thus completed the Ottoman destruction of the Byzantine Empire; fourth son of Murad II; restored and repopulated Constantinople after capture in 1453; reorganized Ottoman administration, codified laws, encouraged scholarship...
www.britannica.com /eb/article-9079046   (712 words)

  
 An Overview - IndianMaths   (Site not responding. Last check: 2007-10-15)
Although the period after the decline of the Vedic religion up to the time of Aryabhata I around 500 AD used to be considered as a dark period in Indian mathematics, recently it has been recognised as a time when many mathematical ideas were considered.
Of the methods taught by Aryabhata and demonstrated by his scholiast Bhaskara I, some are based on comparison of similar right-angled plane triangles, and others are derived from inference.
This school would have the study of the works of Aryabhata as their main concern and certainly Bhaskara was commentator on the mathematics of Aryabhata.
www.pramod.ch /maths/index.php/An_Overview   (3614 words)

  
 did you know?
Mathematics became the hand-maiden of astronomy and, from the time of Aryabhata I, it began to be incorporated in astronomical treatises.
The great astronomer-mathematicians of the Siddhanta period, in a chronological order were: Aryabhata I, Varahamihira, Brahmagupta, Aryabhata II, Sripati, Bhaskara II (known popularly as Bhaskaracarya), Madhava, Paramesvara and Nilakantha.
The period between Aryabhata I and Bhaskara II was the golden age of Indian Jyotisa.
www.indianscience.org /dyk/t_dy_Q13.shtml   (1918 words)

  
 Indian mathematics
Aryabhata headed a research centre for mathematics and astronomy at Kusumapura in the northeast of the Indian subcontinent.
The main mathematicians of the tenth century in India were Aryabhata II and Vijayanandi, both adding to the understanding of sine tables and trigonometry to support their astronomical calculations.
Following Bhaskara II there was over 200 years before any other major contributions to mathematics were made on the Indian subcontinent.
www.gap-system.org /~history/HistTopics/Indian_mathematics.html   (3566 words)

  
 WELCOME: WWW.JAINSAMAJ.ORG   (Site not responding. Last check: 2007-10-15)
Aryabhata was the Kulpati of the university of Nalanda.
Raja-Raja Nerendra of Rajamahendry got it translated into Telgu by one Pavuturi Mallana in the 11th century A.D. Mahaveera occupied a pivotal position between his predecessors (Aryabhata I, Bhaskaracarya I and Brahmagupta) and successors (Sridhara, Aryabhata II and Bhaskaracarya II).
It deals with operations with numbers except those of addition and subtraction which are taken for granted; squaring and cubing; extraction of square-roots and cube-roots; summation of arithmetic and geometric series; fractions; mensuration and algebra including quadratic and indeterminate equations.
jainsamaj.org /literature/role_development.htm   (1302 words)

  
 Alpha College of Engg. :: About Us   (Site not responding. Last check: 2007-10-15)
He is staying at "Vijaya Vittala", #109, 4th Main, II Cross, HAL III Stage, Bangalore-560 075.
She is the Principal of Aryabhata Vidyanikethan School.
She is staying at "Vijaya Vittala", #109, 4th Main, II Cross, HAL III Stage, Bangalore-560 075.
www.alphace.org /aboutus.html   (320 words)

  
 Articles By ShashiTharoor   (Site not responding. Last check: 2007-10-15)
The Kerala-born genius Aryabhata was the first human being to explain, in 499 A.D., that the daily rotation of the earth on its axis is what accounted for the daily rising and setting of the sun.
He even estimated the value of the year at 365 days, six hours, 12 minutes and 30 seconds; in this he was only a few minutes off (the correct figure is just under 365 days and six hours).
If Aryabhata was a giant of world science, his successors as the great Indian astronomers, Varamahira and Brahmagupta, have left behind vitally important texts that space does not allow me to summarise here.
www.shashitharoor.com /articles/hindu/things.shtml   (908 words)

  
 References for Aryabhata_II   (Site not responding. Last check: 2007-10-15)
V N Jha, Aryabhata II's method for finding cube root of a number, Ganita Bharati 19 (1-4) (1997), 60-68.
V N Jha, Indeterminate analysis in the context of the Mahasiddhanta of Aryabhata II, Indian J. Hist.
D Pingree, On the date of the Mahasiddhanta of the second Aryabhata, Ganita Bharati 14 (1-4) (1992), 55-56.
www-groups.dcs.st-and.ac.uk /~history/Printref/Aryabhata_II.html   (91 words)

  
 Aryabhata/ Isaurian War 491 A.D.
Aryabhata/ Isaurian War 491 A.D. ACI Math Department Home Page
It would only be in 498 A.D. after the death of Pope Anastasius II and the consecration of both Symmachus and Laurentius, when we would see the end of the Isaurian war.
Abolition of the unpopular tax, the chrysargyron also took place, and commutation of the land tax from "in kind" to a levy in gold.
www.albertson.edu /math/History/skuek/Classical/isaurian.htm   (121 words)

  
 FertileBand: Aryabhata I
Also called �Aryabhata the Elder� astronomer and the earliest Indian mathematician whose work and history are available to modern scholars.
Known as Aryabhata I or Aryabhata the Elder to distinguish him from a 10th-century Indian mathematician of the same name, he flourished in Kusumapura - near Patalipurta (Patna), then the capital of the Gupta dynasty - where
Biblical Literature, The Johannine Letters: I, II, and III John
fertileband.blogspot.com /2004/12/aryabhata-i.html   (79 words)

  
 Indian National Science Academy History of Science
K.V. Sarma, Aryabhatiya of Aryabhata (critical edition with English translation and notes), 1974-76.
K.S. Shukla, Aryabhata of Aryabhata (with commentary of Bhaskara I and Somesvara, critical edition), 1974-76.
Mahadev Dutta, “Mathematical Models in Bijaganita of Bhaskaracarya II,” 1991-93.
www.insaindia.org /History/compro66.htm   (3638 words)

  
 wikien.info: Main_Page   (Site not responding. Last check: 2007-10-15)
General characteristics Latitude 6.2° N Longitude 35.1° E Diameter 22 km Depth None Colongitude 356° at sunrise Name source Aryabhata Aryabhata is the remnant of a lunar impact crater located in the eastern Mare Tranquillitatis.
The crater has been almost completely submerged by..
For "Arian", a follower of the ancient Christian sect, See Arianism.
alanaditescili.net /browse.php?title=A/AR/ARY   (758 words)

  
 The Àryabhatíya of Àryabhata by J. Q. Jacobs
To date I have found no indication of older accurate astronomical constants or published indications of modern writers noticing the accuracy of the data discovered in the Indian sources.
Do you know of any source previously noticing and publishing the accuracy of Aryabhata's ratio?
Do you know of any older record reflecting such an accurate astronomic ratio?
www.jqjacobs.net /astro/aryabhata.html   (1179 words)

  
 Geometry in Ancient and Medieval India by T.A. Saraswati Amma at Vedic Books
This book is a geometrical survey of the Samskrit and Prakrt scientific and quasi-scientific literature of India beginning with the Vedic literature and ending with the early part of the 17th century.
It deals in detail with the Sulbasutras in the Vedic literature, with the mathematical parts of Jaina Canonical works and of the Hindu Siddhantas and with the contributions to geometry made by the astronomer mathematicians Aryabhata I & II, Sripati, Bhaskara I & II, Sangamagrama Madhava, Paramesvara, Nilakantha, his disciples and a ahost of others.
The works of the mathematicians Mahavira, Sridhara and Narayana Pandita and the Bakshali Manuscript have also been studied.
www.vedicbooks.net /geometry-ancient-medieval-india-p-637.html?cPath=32   (290 words)

  
 [No title]   (Site not responding. Last check: 2007-10-15)
Musili, Dean, School of Sciences, Aryabhata University Co-Chairman Prof.
Musili, Dean, School of Sciences, Aryabhata University Prof.
Sitaramaiah, Dept. of Mathematics Acharya Aryabhata University Prof.
www.vignanits.ac.in /extras/brochure.doc   (1607 words)

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