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Bhaskara Ii: more detail

Bhaskara II
People From Bijapur: Bhaskara Ii, Basava, Aluru Venkata Rao, Basappa Danappa Jatti, Venkanna H. Naik, Ramesh Jigajinagi, Sunil Kumar Desai
Expounding the Mathematical Seed. Vol. 2: The Supplements: A Translation of Bhaskara I on the Mathematical Chapter of the Aryabhatiya (Science Networks. Historical Studies) by Agathe Keller, 2006-04-28
1114 Births: Bhaskara Ii, Fujiwara No Shunzei, Henry, Earl of Northumbria, Mor O'toole, Queen of Leinster, Al-Suhayli
Indian Astronomers: Subrahmanyan Chandrasekhar, Aryabhata, Bhaskara Ii, Nilakantha Somayaji, Venkatraman Radhakrishnan, Jyesthadeva, Vasistha
1185 Deaths: Andronikos I Komnenos, Afonso I of Portugal, Pope Lucius Iii, Baldwin Iv of Jerusalem, Bhaskara Ii, Ibn Tufail, Emperor Antoku
12th-Century Mathematicians: Omar Khayyám, Adelard of Bath, Abraham Bar Hiyya, Al-Khazini, Bhaskara Ii, Sharaf Al-Din Al-usi
Indian Mathematics: Swami Bharati Krishna Tirtha's Vedic Mathematics, Bhaskara Ii, Tantrasamgraha, Shulba Sutras, Aryabhata's Sine Table
12th-Century Scientists: 12th-Century Mathematicians, Omar Khayyám, Adelard of Bath, Abraham Bar Hiyya, Al-Khazini, Bhaskara Ii
Bhaskara I and His Works: Part II: Maha-Bhaskariya by Kripa Shankar Shukla (Ed. & Trs. ), 1960-01-01

lists with details

Bhaskara_II
Bhaskara is also known as bhaskara ii or as Bhaskaracharya, this latter namemeaning Bhaskara the Teacher . Since he is known in India as Bhaskaracharya we
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Bhaskara_II.html

Extractions: Version for printing Bhaskara is also known as Bhaskara II or as Bhaskaracharya, this latter name meaning "Bhaskara the Teacher". Since he is known in India as Bhaskaracharya we will refer to him throughout this article by that name. Bhaskaracharya's father was a Brahman named Mahesvara. Mahesvara himself was famed as an astrologer. This happened frequently in Indian society with generations of a family being excellent mathematicians and often acting as teachers to other family members. Bhaskaracharya became head of the astronomical observatory at Ujjain, the leading mathematical centre in India at that time. Outstanding mathematicians such as Varahamihira and Brahmagupta had worked there and built up a strong school of mathematical astronomy. In many ways Bhaskaracharya represents the peak of mathematical knowledge in the 12th century. He reached an understanding of the number systems and solving equations which was not to be achieved in Europe for several centuries. Six works by Bhaskaracharya are known but a seventh work, which is claimed to be by him, is thought by many historians to be a late forgery. The six works are:
Bhaskaracharya
II(11141185) Bhaskaracharya otherwise known as Bhaskara is probably the most well known mathematician of ancient Indian today. Bhaskara was
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
References For Bhaskara_II
RC Gupta, bhaskara ii s derivation for the surface of a sphere, Math. Education7 (1973), A49A52. RC Gupta, The last combinatorial problem in Bhaskara s
http://www-groups.dcs.st-and.ac.uk/~history/References/Bhaskara_II.html

Extractions: R Calinger (ed.), Classics of Mathematics (New Jersey, 1995). G Ifrah, A universal history of numbers : From prehistory to the invention of the computer (London, 1998). G G Joseph, The crest of the peacock (London, 1991). K S Patwardhan, S A Naimpally and S L Singh, Lilavati of Bhaskaracarya (Delhi 2001). Articles: S P Arya, On the Brahmagupta- Bhaskara equation, Math. Ed. B Chaudhary and P Jha, Studies of Bhaskara's works in Mithila, Ganita Bharati B Datta, The two Bhaskaras, Indian Historical Quarterly R C Gupta, Bhaskara II's derivation for the surface of a sphere, Math. Education R C Gupta, The last combinatorial problem in Bhaskara's Lilavati, Ganita Bharati M G Inamdar, A formula of Bhaskara for the chord of a circle leading to a formula for evaluating sin a°, Math. Student A A Krishnaswami Ayyangar, Remarks on Bhaskara's approximation to the sine of an angle, Math. Student
Bhaskara_II
Version for printing Bhaskara is also known as bhaskara ii or as Bhaskaracharya, this latter name meaning "Bhaskara the Teacher".
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Bhaskara II -- Encyclopædia Britannica
bhaskara ii the leading mathematician of the 12th century, who wrote the firstwork with full and systematic use of the decimal number system.
http://www.britannica.com/eb/article-9079046

Extractions: Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Bhaskara II Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Bhaskara II
Bhaskara The Greatest Mathematician Of The Orient World
Bhaskara is also known as bhaskara ii or as Bhaskaracharya, this latter name meaning "Bhaskara
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Bhaskara II -- Britannica Student Encyclopedia
bhaskara ii (111485?), Indian mathematician. bhaskara ii was born in 1114 inBiddur, India. He wrote the first work with a full and systematic use of the
http://www.britannica.com/ebi/article-9317453

Extractions: Home Browse Newsletters Store ... Subscribe Already a member? Log in This Article's Table of Contents Bhaskara II Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Bhaskara II var mm = [["Jan.","January"],["Feb.","February"],["Mar.","March"],["Apr.","April"],["May","May"],["June","June"],["July","July"],["Aug.","August"],["Sept.","September"],["Oct.","October"],["Nov.","November"],["Dec.","December"]]; To cite this page: MLA style: "Bhaskara II." Britannica Student Encyclopedia http://www.britannica.com/ebi/article-9317453
Bhaskara-II Satellite
BhaskaraII Satellite
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Encyclopaedia Britannica Entry
bhaskara ii was the lineal successor of the noted Indian mathematician bhaskara ii anticipated the modern convention of signs (minus by minus makes plus
http://www.aam314.vzz.net/EB/Bhaskara_II.html

Extractions: Died: c. 1185, , probably Ujjain Also called Bhaskaracarya, or Bhaskara The Learned The leading mathematician of the 12th century, who wrote the first work with full and systematic use of the decimal number system. Bhaskara II was the lineal successor of the noted Indian mathematician Brahmagupta (598-c. 665) as head of an astronomical observatory at Ujjain, the leading mathematical centre of ancient India. In his mathematical works, particularly Lilavati ("The Beautiful") and Bijaganita ("Seed Counting"), he not only used the decimal system but also compiled problems from Brahmagupta and others. He filled many of the gaps in Brahmagupta's work, especially in obtaining a general solution to the Pell equation ( x py ) and in giving many particular solutions. Bhaskara II anticipated the modern convention of signs (minus by minus makes plus, minus by plus makes minus) and evidently was the first to gain some understanding of the meaning of division by zero, for he specifically stated that the value of is an infinite quantity, though his understanding seems to have been limited, for he also stated wrongly that
Encyclopaedia Britannica Entry
bhaskara ii Born 1114, Biddur, India Died c. 1185, , probably Ujjain Also called Bhaskaracarya, or Bhaskara The Learned
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Indian Satellites
3. BhaskaraII 20.11.1981 Second experimental remote sensing satellite similar to Bhaskara-1.
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Old Satellites
BhaskaraI II Experimental remote sensing satellites launched on June 7, 1979 and November 20, 1981 'respectively' by Intercosmos rockets.
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Dream 2047-Article
work published in India after SiddhantaShiromani (written in AD 1150) bybhaskara ii. Pathani Samanta followed in the footstep of Bhaskara -II.
http://www.vigyanprasar.com/dream/august99/AUGUSTArticle2.htm

Extractions: Leading astronomers of this period were Aryabhata I (born A.D. 476), Varahamihira (6th century A.D.), Bhaskara I (born c. A.D. 600), Brahmagupta (born c. A.D. 598), and Bhaskara II (born A.D. 1114). Besides the compilation work of Varahamihira, the immortal works of this period were Aryabhatia (by Aryabhata I), Brahmasphuta-siddhanta (by Brahmagupta) and Siddhanta-Shiromani (by Bhaskara II). with the help of commentaries. By the age of 15 he mastered the rules for calculating the ephemerides (tables showing the positions of heavenly bodies at regular intervals in time) of the planets. While calculating the positions of the planets he found that neither the stars appeared on the horizon at the right moment nor could the planets be seen in the right places. He began to observe and calculate the movement of heavenly bodies night after night. At the age of 23 he began to note down systematically the results of his observations. The journal Knowledge which reviewed the book in 1899 wrote: Pathani Samanta made contributions to the following four important aspects of astronomy:
Brahmagupta
bhaskara ii was greatly influenced by Brahmagupta's work and gave Brahmagupta the title Ganita Chakra Chudamani, the gem of the circle of
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
About State Observatory Nainital
of Aryabhatta I ( born 476 AD) Varahmihir ( died 587 AD), Brahmagupta (born598 AD) and bhaskara ii ( born 1114 AD) are still looked upon with respect .
http://upso.ernet.in/intro.html

Extractions: India has had a hoary tradition in astronomy. During the Vedic times, and again through the fifth to twelfth century of the christian era, astronomy attained great heights in the country. The works of Aryabhatta I ( born 476 A.D.) Varahmihir ( died 587 A.D.), Brahmagupta (born 598 A.D.) and Bhaskara II ( born 1114 A.D.) are still looked upon with respect . A big effort towards the resurrection of that tradition was made in the early eighteenth century by Raja Sawai Jai Singh t o which the Jantar-Mantars established by him at Jaipur, Delhi and other places bear a testimony. The modern era of Indian astronomy started with the establishment of an astronomical observatory at Madras in 1792. Presently, India has several well known observatories. Among these Aryabhatta Research Institute of Observational Sciences ( ARIES ), M.K.V. Bappu Observatory and Japal- Rangapur Observatory are the optical observatries.GMRT Khodad and Udhagamandalam are the radio observatories while Gurushikhar is an infrared observatory. During the last four decades realising the urgent need in research in Astronomy, most of the premier reasearch institutes such as RRI Bangalore, ISRO Bangalore, IIA Bangalore, BARC Mumbai, TIFR Mumbai, NPL Delhi,PRL Ahmedabad and IUCCA Pune have included observational and theoretical reasearch in Astronomy, in their research programmes. The Aryabhatta Research Institute of Observational Sciences (ARIES) formally came into existence under the zodical sign of ARIES on march 22, 2004 as an autonomous institute under the Department of Science and Technology, Govt. of India, which is the reincarnation of the 50 years old State Observatory, Nainital that was first started from Varanasi in 1954 and was later shifted from the dust and haze of the plains to the excellent transparent skies of Nainital in 1955 and its present location at Manora Peak
Indian Mathematics Index
800 BC Baudhayana 600 Bhaskara I 1060 Brahmadeva 750 BC Manava 720 Lalla 1114 bhaskara ii 600 BC Apastamba 800 Govindasvami 1340 Mahendra
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Science, Civilization And Society
bhaskara ii, or Bhaskara the Learned, was the director of India s leading centreof mathematics at the astronomical observatory in Ujjain.
http://www.es.flinders.edu.au/~mattom/science society/lectures/illustrations/lec
Mathematicians Born In India
Apastamba Aryabhata I Aryabhata II Baudhayana Bhaskara I bhaskara ii Bose Brahmadeva Brahmagupta De Morgan Govindasvami HarishChandra
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Bhaskara - Wikipedia
bhaskara ii., imenovan Acarja (sanskrtsko ucitelj, uceni), indijski matematik inastronom, * 1114, Biddur, Indija, 1185, verjetno Udain.
http://sl.wikipedia.org/wiki/Bhaskara

Extractions: Wikimedija potrebuje vaÅ¡o pomoÄ pri zbiranju 200.000 dolarjev . Za podrobnosti glejte stran o zbiranju prispevkov Zbrali smo Å¾e preko 130.000$. Hvala za vaÅ¡o velikoduÅ¡nost! Bhaskara II. , imenovan AÄarja sanskrtsko uÄitelj, uÄeni), indijski matematik in astronom Biddur Indija , verjetno UdÅ¾ain Bhaskara je deloval v UdÅ¾ainu in bil med drugim vodja tamkajÅ¡njega znamenitega observatorija , kjer sta delovala pred njim Varahamihira in Brahmagupta . Med Å¡tevilnimi izjemnimi indijskimi matematiki je bil najbrÅ¾ najpomembnejÅ¡i in najvplivnejÅ¡i. Pri njem lahko najdemo prvo sploÅ¡no reÅ¡itev nedoloÄenih enaÄb prve stopnje: Pri tem delamo napako, da imenujemo linearne nedoloÄene enaÄbe diofantske enaÄbe . Medtem ko je Diofant Å¡e dopuÅ¡Äal reÅ¡itev z ulomki , so bili indijski matematiki zadovoljni samo s celoÅ¡tevilskimi reÅ¡itvami. Dalj kot Diofant so Å¡li tudi v tem, ker so priznavali negativna Å¡tevila za korene enaÄb, Äeprav je bilo to brÅ¾kone v navadi Å¾e prej v babilonski astronomiji . Bhaskara je na primer dobil za reÅ¡itev enaÄbe: korena x in tudi x , ter za reÅ¡itev enaÄbe: korena x in x , je pa dvomil o negativnem korenu x . IzboljÅ¡al je metodo iskanja celoÅ¡tevilÄnih reÅ¡itev enaÄbe: Vedel je, da ima druga grÅ¡ka kanonska oblika
Did You Know?
The period between Aryabhata I and bhaskara ii was the golden age of Indian Jyotisa.It saw the production of many astronomical works, but they were all
http://www.infinityfoundation.com/mandala/t_dy/t_dy_Q13.htm

Extractions: By D.P. Agrawal Bhaskaracarya was a mathematician-astronomer of exceptional abilities. He was born in 1114 AD. Mathematics became the hand-maiden of astronomy and, from the time of Aryabhata I, it began to be incorporated in astronomical treatises. Thus all components of mathematics came to be developed: geometry, trigonometry, arithmetic and algebra. The great astronomers had to be great mathematicians too. 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. These great scientists, except the last three, grew in different parts of this vast sub-continent. Perhaps such isolated growth may explain the apparent abruptness in astronomical and mathematical development in India. Even before Bhaskara made his mark on Indian Jyotisa, there were three distinct schools, the Saura, the Arya and Brahma. Bhaskara was respected and studied even in distant corners of India. Bhaskara was perhaps the last and the greatest astronomer that India ever produced. Brahmagupta was Bhaskara's role model and inspirer. To Brahmagupta he pays homage at the beginning of his

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