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         Bhaskara Ii:     more detail
  1. Bhaskara II
  2. People From Bijapur: Bhaskara Ii, Basava, Aluru Venkata Rao, Basappa Danappa Jatti, Venkanna H. Naik, Ramesh Jigajinagi, Sunil Kumar Desai
  3. 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
  4. 1114 Births: Bhaskara Ii, Fujiwara No Shunzei, Henry, Earl of Northumbria, Mor O'toole, Queen of Leinster, Al-Suhayli
  5. Indian Astronomers: Subrahmanyan Chandrasekhar, Aryabhata, Bhaskara Ii, Nilakantha Somayaji, Venkatraman Radhakrishnan, Jyesthadeva, Vasistha
  6. 1185 Deaths: Andronikos I Komnenos, Afonso I of Portugal, Pope Lucius Iii, Baldwin Iv of Jerusalem, Bhaskara Ii, Ibn Tufail, Emperor Antoku
  7. 12th-Century Mathematicians: Omar Khayyám, Adelard of Bath, Abraham Bar Hiyya, Al-Khazini, Bhaskara Ii, Sharaf Al-Din Al-usi
  8. Indian Mathematics: Swami Bharati Krishna Tirtha's Vedic Mathematics, Bhaskara Ii, Tantrasamgraha, Shulba Sutras, Aryabhata's Sine Table
  9. 12th-Century Scientists: 12th-Century Mathematicians, Omar Khayyám, Adelard of Bath, Abraham Bar Hiyya, Al-Khazini, Bhaskara Ii
  10. Bhaskara I and His Works: Part II: Maha-Bhaskariya by Kripa Shankar Shukla (Ed. & Trs. ), 1960-01-01

1. 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
Bhaskara
Born: 1114 in Vijayapura, India
Died: 1185 in Ujjain, India
Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
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:

2. 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

3. 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
References for Bhaskara
Version for printing
  • Biography in Dictionary of Scientific Biography (New York 1970-1990).
  • Biography in Encyclopaedia Britannica. available on the Web Books:
  • 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
  • 4. 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

    5. 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
    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
     Encyclopædia Britannica Article Page 1 of 1 born 1114, Biddur, India
    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. c. 665) as head of an astronomical observatory at Ujjain, the leading mathematical centre of ancient India.
    Bhaskara II...

    6. 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

    7. Bhaskara II --  Britannica Student Encyclopedia
    bhaskara ii (1114–85?), 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
    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
     Student Encyclopedia Article Page 1 of 1
    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
    APA style:
    Bhaskara II. ( Britannica Student Encyclopedia . Retrieved http://www.britannica.com/ebi/article-9317453

    8. Bhaskara-II Satellite
    BhaskaraII Satellite
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

    9. 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
    Bhaskara II
    Born: 1114, Biddur, India
    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

    10. 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

    11. 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

    12. 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

    13. 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
    Mahamahopadhyaya Samanta Chandra Sekhara Harichandan Mohapatra 100 Years of Siddhanta-Darpana -Subodh Mahanti
    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:
    (1) Observations
    (2) Calculation
    (3) Method of measurement and instrumentation
    (4) Theory and models
    Siddhanta-Darpana wrote: The instruments used for his practical observation of the night sky were made by himself indigenously. His instruments which were mostly made up of wood and bamboo pieces can be broadly classified into three categories :

    14. 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

    15. 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
    ARIES ( Aryabhatta Research Institute of Observational Sciences )
    ( Under DST, Govt. of India )
    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

    16. 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

    17. 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

    18. 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

    19. Bhaskara - Wikipedia
    bhaskara ii., imenovan Acarja (sanskrtsko ucitelj, uceni), indijski matematik inastronom, * 1114, Biddur, Indija, † 1185, verjetno Udžain.
    http://sl.wikipedia.org/wiki/Bhaskara
    Wikimedija potrebuje vašo pomoč pri zbiranju 200.000 dolarjev . Za podrobnosti glejte stran o zbiranju prispevkov Zbrali smo že preko 130.000$. Hvala za vašo velikodušnost!
    Bhaskara
    Iz Wikipedije, proste enciklopedije.
    Bhaskara II. , imenovan Ačarja sanskrtsko učitelj, učeni), indijski matematik in astronom Biddur Indija , verjetno Udžain Bhaskara je deloval v Udžainu in bil med drugim vodja tamkajšnjega znamenitega observatorija , kjer sta delovala pred njim Varahamihira in Brahmagupta . Med številnimi izjemnimi indijskimi matematiki je bil najbrž najpomembnejši in najvplivnejši. Pri njem lahko najdemo prvo splošno rešitev nedoločenih enačb prve stopnje: Pri tem delamo napako, da imenujemo linearne nedoločene enačbe diofantske enačbe . Medtem ko je Diofant še dopuščal rešitev z ulomki , so bili indijski matematiki zadovoljni samo s celoštevilskimi rešitvami. Dalj kot Diofant so šli tudi v tem, ker so priznavali negativna števila za korene enačb, čeprav je bilo to bržkone v navadi že prej v babilonski astronomiji . Bhaskara je na primer dobil za rešitev enačbe: korena x in tudi x , ter za rešitev enačbe:
    x x
    korena x in x , je pa dvomil o negativnem korenu x . Izboljšal je metodo iskanja celoštevilčnih rešitev enačbe: Vedel je, da ima druga grška kanonska oblika

    20. 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
    Did You Know?
    By D.P. Agrawal
    Question: Did you know Bhaskaracharya? What was he famous for and when did he live?
    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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