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         Govindasvami:     more detail
  1. Baudhayanadharmasutram: Govindasvami racita Vivarana vrtti sahita by Baudhayana, 1999
  2. Srimat Govindasvami Kalasada mattu Sariphasaheba mahasatpurusara Sisunala tattva padagalu by Kalasada Govindasvami, 1932

1. Royal Carpet: Beginner's Lessons - Varnams
A page of lyrics to a variety of South Indian carnatic music songs by renowned composers such as Thyagaraja, Dikshitar, Shyama Sastry and others. aluka jesite (tv)NatakuranjiAtagovindasvami
http://www.geocities.com/promiserani2/varnams.html
karnATik MAIN PAGE Join the mailing list Send feedback Easy Links: Articles Beginner Lessons Calendar of Events Carnatic for Dummies Composers Film Songs Glossary Instruments Jokes Reverse Janya List Links (Annotated) Lyrics Message Forum Quizzes Ragas Tour (Info Index) Visitors' Comments What's New Back to karnATik Royal Carpet Beginners' Lessons - VarNams VarNams are sophisticated musical forms that include swaras and lyrics. For students, they are useful for learning the swaras of various raagas, singing in multiple speeds rapidly, as well as learning the appropriate gamakas. They introduce the proper combinations of swaras for each raaga and require great discipline for singing. The structure of the varnam includes pallavi, anupallavi, muktaayi swaram, caraNam and multiple ciTTa swarams that return to the caraNam (see the glossary ). Varnams are usually the first pieces sung in concerts. Here is an exhaustive (but not absolutely complete) list of varNams - over 850 of them! A few have lyrics and are linked.Full list provided by Lakshman Ragde.

2. The Date Of Mahabharata Based On The Indian Astronomical Works
c.12the cent.CE. govindasvami. Mahabhaskariya. Parameswara
http://www.hindunet.org/saraswati/colloquium/astronomy01.htm
Mahabharata as the sheet-anchor of bharatiya itihasa International Colloquium The Date of Mahabharata Based on the Indian Astronomical Works K.V. Ramakrishna Rao, B.Sc., M.A., A.M.I.E., C.Eng.(I)., B.L., Introduction The date of Mahabharat is analyzed for determination only based on the Indian astronomical works. The following facts are taken into consideration for such critical study: The Indian astronomers of Siddhantic works and followers have recorded the date of Bharata implying Mahabharat war in particular and starting of Kaliyuga or Era, that is used to reckon the dates of themselves at many places and in conjunction with Saka era in some places later. Aryabhata makes a specific mention about Bharata in his Aryabhatiyam. Most of the scholars including westerners have taken the connotation of it as referring to Mahabharat and in particular Mahabharat war, because, that is considered as the staring point of Kaliyuga / era in Indian astronomy and history too. Therefore, taking the astronomical works - Siddhantas, Tantras and Karanas like - Aryabhatiyam, Mahabhaskariyam, Vatesvara - Siddhanta

3. Govindasvami
govindasvami. Born about 800 in India Died about 860 in India. govindasvamiwrote the Bhasya in about 830 which was a commentary on the Mahabhaskariya.
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Govindasvami.html
Govindasvami
Born: about 800 in India
Died: about 860 in India
Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
Govindasvami (or Govindasvamin) was an Indian mathematical astronomer whose most famous treatise was a commentary on the Mahabhaskariya of Bhaskara I Bhaskara I wrote the Mahabhaskariya in about 600 A. D. It is an eight chapter work on Indian mathematical astronomy and includes topics which were fairly standard for such works at this time. It discussed topics such as the longitudes of the planets, conjunctions of the planets with each other and with bright stars, eclipses of the sun and the moon, risings and settings, and the lunar crescent. Govindasvami wrote the Bhasya in about 830 which was a commentary on the Mahabhaskariya. In Govindasvami's commentary there appear many examples of using a place-value Sanskrit system of numerals. One of the most interesting aspects of the commentary, however, is Govindasvami's construction of a sine table. Indian mathematicians and astronomers constructed sine table with great precision. They were used to calculate the positions of the planets as accurately as possible so had to be computed with high degrees of accuracy. Govindasvami considered the sexagesimal fractional parts of the twenty-four tabular sine differences from the Aryabhatiya.

4. Govindasvami
Biography of govindasvami (800860) govindasvami. Born about 800 in India Main index. govindasvami ( or govindasvamin) was an Indian mathematical astronomer whose most famous treatise was a
http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Govindasvami.html
Govindasvami
Born: about 800 in India
Died: about 860 in India
Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
Govindasvami (or Govindasvamin) was an Indian mathematical astronomer whose most famous treatise was a commentary on the Mahabhaskariya of Bhaskara I Bhaskara I wrote the Mahabhaskariya in about 600 A. D. It is an eight chapter work on Indian mathematical astronomy and includes topics which were fairly standard for such works at this time. It discussed topics such as the longitudes of the planets, conjunctions of the planets with each other and with bright stars, eclipses of the sun and the moon, risings and settings, and the lunar crescent. Govindasvami wrote the Bhasya in about 830 which was a commentary on the Mahabhaskariya. In Govindasvami's commentary there appear many examples of using a place-value Sanskrit system of numerals. One of the most interesting aspects of the commentary, however, is Govindasvami's construction of a sine table. Indian mathematicians and astronomers constructed sine table with great precision. They were used to calculate the positions of the planets as accurately as possible so had to be computed with high degrees of accuracy. Govindasvami considered the sexagesimal fractional parts of the twenty-four tabular sine differences from the Aryabhatiya.

5. References For Govindasvami
References for govindasvami. Articles The URL of this page is http//wwwhistory.mcs.st-andrews.ac.uk/References/govindasvami.html.
http://www-gap.dcs.st-and.ac.uk/~history/References/Govindasvami.html
References for Govindasvami
Articles:
  • R C Gupta, Fractional parts of Aryabhata's sines and certain rules found in Govindasvami's Bhasya on the Mahabhaskarya, Indian J. History Sci.
  • S K Jha and V N Jha, Computation of sine-table based on the Mahasiddhanta of Aryabhata II, J. Bihar Math. Soc. Main index Birthplace Maps Biographies Index
    History Topics
    ... Anniversaries for the year
    JOC/EFR November 2000 School of Mathematics and Statistics
    University of St Andrews, Scotland
    The URL of this page is:
    http://www-history.mcs.st-andrews.ac.uk/References/Govindasvami.html
  • 6. References For Govindasvami
    References for the biography of govindasvami Fractional parts of Aryabhata's sines and certain rules found in govindasvami's Bhasya on the Mahabhaskarya, Indian J
    http://www-history.mcs.st-and.ac.uk/References/Govindasvami.html
    References for Govindasvami
    Articles:
  • R C Gupta, Fractional parts of Aryabhata's sines and certain rules found in Govindasvami's Bhasya on the Mahabhaskarya, Indian J. History Sci.
  • S K Jha and V N Jha, Computation of sine-table based on the Mahasiddhanta of Aryabhata II, J. Bihar Math. Soc. Main index Birthplace Maps Biographies Index
    History Topics
    ... Anniversaries for the year
    JOC/EFR November 2000 School of Mathematics and Statistics
    University of St Andrews, Scotland
    The URL of this page is:
    http://www-history.mcs.st-andrews.ac.uk/References/Govindasvami.html
  • 7. Govindasvami
    wwwhistory.mcs.st-and.ac.uk/history/Mathematicians/govindasvami.html turnbull.mcs.st-and.ac.uk/history/Mathematicians/govindasvami.html turnbull.mcs.st-and.ac.uk/history/References/govindasvami.html More results from turnbull.mcs.st-and.ac.uk Indian mathematics The ninth century saw mathematical progress with scholars such asgovindasvami, Mahavira, Prthudakasvami, Sankara, and Sridhara.
    http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Govindasvami.html
    Govindasvami
    Born: about 800 in India
    Died: about 860 in India
    Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
    Govindasvami (or Govindasvamin) was an Indian mathematical astronomer whose most famous treatise was a commentary on the Mahabhaskariya of Bhaskara I Bhaskara I wrote the Mahabhaskariya in about 600 A. D. It is an eight chapter work on Indian mathematical astronomy and includes topics which were fairly standard for such works at this time. It discussed topics such as the longitudes of the planets, conjunctions of the planets with each other and with bright stars, eclipses of the sun and the moon, risings and settings, and the lunar crescent. Govindasvami wrote the Bhasya in about 830 which was a commentary on the Mahabhaskariya. In Govindasvami's commentary there appear many examples of using a place-value Sanskrit system of numerals. One of the most interesting aspects of the commentary, however, is Govindasvami's construction of a sine table. Indian mathematicians and astronomers constructed sine table with great precision. They were used to calculate the positions of the planets as accurately as possible so had to be computed with high degrees of accuracy. Govindasvami considered the sexagesimal fractional parts of the twenty-four tabular sine differences from the Aryabhatiya.

    8. Full Alphabetical Index
    List of mathematical biographies indexed alphabetically Gosset, William (644*) Goursat, Edouard (156*) govindasvami ( 237) Gräffe, Karl (140
    http://www-groups.dcs.st-and.ac.uk/~history/Indexes/Full_Alph.html
    Full Alphabetical Index
    Click below to go to one of the separate alphabetical indexes A B C D ... XYZ The number of words in the biography is given in brackets. A * indicates that there is a portrait.
    A
    Abbe , Ernst (602*)
    Abel
    , Niels Henrik (2899*)
    Abraham
    bar Hiyya (641)
    Abraham, Max

    Abu Kamil
    Shuja (1012)
    Abu Jafar

    Abu'l-Wafa
    al-Buzjani (1115)
    Ackermann
    , Wilhelm (205*)
    Adams, John Couch

    Adams, J Frank

    Adelard
    of Bath (1008) Adler , August (114) Adrain , Robert (1317*) Adrianus , Romanus (419) Aepinus , Franz (822) Agnesi , Maria (2018*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (660) Ahmes Aida Yasuaki (696) Aiken , Howard (665*) Airy , George (2362*) Aitken , Alec (1220*) Ajima , Naonobu (144) Akhiezer , Naum Il'ich (248*) al-Baghdadi , Abu (947) al-Banna , al-Marrakushi (861) al-Battani , Abu Allah (1333*) al-Biruni , Abu Arrayhan (3002*) al-Farisi , Kamal (1102) al-Haitam , Abu Ali (2490*) al-Hasib Abu Kamil (1012) al-Haytham , Abu Ali (2490*) al-Jawhari , al-Abbas (627) al-Jayyani , Abu (892) al-Karaji , Abu (1789) al-Karkhi al-Kashi , Ghiyath (1725*) al-Khazin , Abu (1148) al-Khalili , Shams (677) al-Khayyami , Omar (2140*) al-Khwarizmi , Abu (2847*) al-Khujandi , Abu (713) al-Kindi , Abu (1151) al-Kuhi , Abu (1146) al-Maghribi , Muhyi (602) al-Mahani , Abu (507) al-Marrakushi , ibn al-Banna (861) al-Nasawi , Abu (681) al-Nayrizi , Abu'l (621) al-Qalasadi , Abu'l (1247) al-Quhi , Abu (1146) al-Samarqandi , Shams (202) al-Samawal , Ibn (1569) al-Sijzi , Abu (708) al-Tusi , Nasir (1912*) al-Tusi , Sharaf (1138) al-Umawi , Abu (1014) al-Uqlidisi , Abu'l (1028) Albanese , Giacomo (282) Albategnius (al-Battani) (1333*)

    9. A Chronology Of Interpolation
    800 AD In a commentary on a seventhcentury work by Bhaskara I, govindasvami usesan interpolation formula equivalent to the second-order version of the Newton
    http://imagescience.bigr.nl/meijering/research/chronology/
    A Chronology of Interpolation
    From Ancient Astronomy to Modern Signal and Image Processing
    Erik Meijering
    Proceedings of the IEEE , vol. 90, no. 3, March 2002, pp. 319-342
    It is an extremely useful thing to have knowledge of the true origins of memorable discoveries, especially those that have been found not by accident but by dint of meditation. It is not so much that thereby history may attribute to each man his own discoveries and others should be encouraged to earn like commendation, as that the art of making discoveries should be extended by considering noteworthy examples of it. G. W. Leibniz, Historia et Origo Calculi Differentialis ca. 1714). Translation as in J. M. Child, "Newton and the Art of Discovery", in Isaac Newton 16421727: A Memorial Volume , W. J. Greenstreet (ed.), G. Bell and Sons, London, 1927, pp. 117-129.
    Ancient Times and the Middle Ages
    ca. 300 BC and earlier: Babylonian astronomers use linear and higher-order interpolation to fill gaps in ephemerides of the sun, moon, and the then-known planets, written down in cuneiform tablets as shown here. For explanations and more details, see O. Neugebauer

    10. Indian Mathematics Index
    600 BC. Apastamba. 800. govindasvami. 1340. Mahendra Suri
    http://www-groups.dcs.st-and.ac.uk/~history/Indexes/Indians.html
    History Topics: Index of Ancient Indian mathematics
    Articles on Indian Mathematics
  • An overview of Indian mathematics
  • Indian numerals
  • The Indian Sulbasutras
  • Jaina mathematics ...
  • Chronology of Pi
    Ancient Indian mathematicians in our archive in chronological order
    800 BC Baudhayana
    Bhaskara I

    Brahmadeva

    750 BC Manava
    Lalla

    Bhaskara II

    600 BC Apastamba
    Govindasvami

    Mahendra Suri

    520 BC Panini
    Mahavira
    Narayana 200 BC Katyayana Prthudakasvami Madhava 120 AD Yavanesvara Sankara Paramesvara Aryabhata I ... Search Form JOC/EFR January 2004 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/Indexes/Indians.html
  • 11. Religion In Ancient Bengal: During Guptas
    Temples are beeing built for the likes of govindasvami, svetavarAhasvAmI,kokAmukhasvAmI, pradyumneshvara, anantanArAYaNa, and puruSottama.
    http://members.tripod.com/~tanmoy/bengal/postguptarelig.html
    var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded"
    Religion in ancient Bengal: during and after guptas
    Vedic and Pauranic Hinduism
    During the guptas, we find a lot of brahmins getting land grants and settling down. They are described by their vedic affiliation, e.g. RgvedI, belonging to vAjasaneYI shAkha, yajurvedI, or sAmavedI; and by their gotra, e.g. kANva, bhArgava, kAshyapa, bharadvAja, agastya, vAtsya, or kauNDiNya. By the sixth century, even in east Bengal, just during the reign of bhUtivarmA, great-great-grandfather of bhAskaravarma , in one village paJcakhaNDa of shrIhaTTa, 200 brahmin families are brought in, many of different affiliations like Rg vAhRvacya, sAma chAndyogya, yajur vAjasaneYI, cArakya or taittirIYa. It is during this same period, fourth century AD and later, that we start finding traces of paurANic tradition of viSNu as cakrasvAmI. Temples are beeing built for the likes of govindasvAmI, svetavarAhasvAmI, kokAmukhasvAmI, pradyumneshvara, anantanArAYaNa, and puruSottama. Many kings are describing themselves as paramabhAgavat. That viSNu is already associated with kRSNa and balarAma is clear: the stories of lifting up govarddhana, fights with cANUra and muSTika, uprooting of yamalArjjuna tree, killing of keshI, playing with the gopIs, vAsudeva going to gokula with kRSNa, etc. are already depicted. Though the concept of rAdha from this period is extremely debatable, an

    12. Imagescience.org
    on a seventhcentury work by Bhaskara I, govindasvami uses an interpolation formula equivalent to the second-order
    http://www.imagescience.org/meijering/research/chronology

    13. Nuggets & Snippets
    In a performance in 1929, the legendary kAncIpuram nainA piLLai had the followingaccompanists tirucci govindasvami piLLai (Violin), azhaganambi piLLai (mR
    http://carnatica.net/special/nuggets.htm
    DID YOU KNOW? A collection of musical nuggets and snippets MUSIC RESOURCES Sangeetanubhava Rasika Forum Galaxy of Composers Artistes Panorama ... CAC Newsletter SERVICES Music Clinic Event Management Career Prospects Utility Services FEATURES Special Features Guru Vandanam Brain Stimulators Tribute ... Tidbits RELATED SUBJECTS Dancers' Paradise Devotional Music Fusion Tamil Music ... ABOUT US tAna vaRNa mArgadarshi pAccimiRiyam Adiyappa , composer of the famous viribONi vaRnam is known by the sobriquet tAna vaRNa mArgadarshi . However, the sangIta sampRadAya pradaRshini attributes the same title to another person, gOvindasAmayya of kArvetnagar (1680 - 1710) tiruppUnturutti music festival An music festival is held every year in the town of Tiruppunturutti in honour of the composer nArAyaNa tIrtha kSEtrayya's first composition shRIpati sutubAriki in Anandabhairavi, Adi tALam is kSEtrayya's first composition

    14. Bhajana Sampradaya
    Krsnadasa, Paramanandadasa and Kumbhanadasa and the second group initiated bySri Vitthalanathaji is made up of Nandadasa, govindasvami, Chitaswami, and
    http://www.bhajanasampradaya.com/ViewStory.asp?sid=648&san=

    15. Index Of /~history/Mathematicians
    2004 1753 10K Goursat.html 05Mar-2004 1753 5.3K govindasvami.html 05-Mar-2004 1753 5.4K Graffe.html 05-Mar-2004 17
    http://turnbull.mcs.st-and.ac.uk/~history/Mathematicians
    Index of /~history/Mathematicians
    Name Last modified Size Description ... Abbe.html 14-May-2004 16:15 8.3K Abel.html 05-Mar-2004 17:53 26K Abraham.html 25-Mar-2004 11:03 10K Abraham_Max.html 05-Mar-2004 17:53 9.1K Abu'l-Wafa.html 05-Mar-2004 17:53 14K Abu_Kamil.html 05-Mar-2004 17:53 13K Ackermann.html 14-May-2004 16:15 7.7K Adams.html 07-May-2004 15:09 11K Adams_Frank.html 05-Mar-2004 17:53 11K Adelard.html 05-Mar-2004 17:53 12K Adler.html 05-Mar-2004 17:53 5.8K Adrain.html 05-Mar-2004 17:53 14K Aepinus.html 05-May-2004 13:39 11K Agnesi.html 25-Mar-2004 11:03 18K Ahlfors.html 14-May-2004 16:15 12K Ahmed.html 05-Mar-2004 17:53 9.4K Ahmes.html 05-Mar-2004 17:53 5.8K Aida.html 05-Mar-2004 17:53 9.9K Aiken.html 14-May-2004 16:15 10K Airy.html 05-Mar-2004 17:53 23K Aitken.html

    16. Pergunta Agora
    Translate this page Aryabhata I, Eutocius, Simplicius, Yativrsabha, Varahamihira, Brahmagupta, BhaskaraI, Lalla, Alcuin, al-Khwarizmi, Al-Jawhari, Mahavira, govindasvami, al-Kindi
    http://www.apm.pt/pa/index.asp?accao=showtext&id=3407

    17. 8 II. Aryabhata And His Commentators
    govindasvami (c 800860 AD) his most important work was a commentary on BhaskaraI s astronomical work Mahabhaskariya, he also considered Aryabhata s sine
    http://www-history.mcs.st-andrews.ac.uk/history/Projects/Pearce/Chapters/Ch8_2.h
    Indian Mathematics MacTutor Index Previous page
    (8: The Classical period: I Introduction) Contents Next page
    (8 III. Brahmagupta, and the influence on Arabia)
    8 II. Aryabhata and his commentators
    Aryabhata , who is occasionally known as Aryabhata I, or Aryabhata the elder to distinguish him from a tenth century astronomer of the same name, stands as a pioneer of the revival of Indian mathematics, and the so called 'classical period ', or 'Golden era' of Indian mathematics. Arguably the Classical period continued until the 12 th century, although in some respects it was over before Aryabhata 's death following a costly, if ultimately successful, war with invading Huns which resulted in the eroding of the Gupta culture (D Duncan P 171). As mentioned, the classical period arose following a 'dark period' of significant political instability 200-400 AD, which caused the widespread stagnation of mathematical development. We can accurately claim that Aryabhata was born in 476 AD, as he writes that he was 23 years old when he wrote his most significant mathematical work the Aryabhatiya (or Arya Bhateeya ) in 499 AD. He was a member of the Kusuma Pura School, but is thought to have been a native of Kerala (in the extreme south of India), although unsurprisingly there is some debate. Further debate surrounds how important the work of

    18. Aa, Personal , Ahmet Kaya ,Þebnem Ferah , Göksel , Ebru Gündeþ
    Reuben (257*) Göpel, Adolph (251) Gordan, Paul (958*) Gorenstein, Daniel (1300*)Gosset, William (416*) Goursat, Edouard (156*) govindasvami (237) Gräffe
    http://www.newturk.net/index111.html

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    19. .::Vedic Mathematics::.
    750 BC. Manava. 720. Lalla. 1114. Bhaskara II. 600 BC. Apastamba. 800. govindasvami.1340. Mahendra Suri. 520 BC. Panini. 800. Mahavira. 1340. Narayana. 200 BC. Katyayana.830.
    http://www.sanalnair.org/articles/vedmath/india.htm
    Home Thinking Page Home
    VEDIC MATHEMATICS Home Introduction Examples Links
    Ancient Indian mathematics
    Articles on Indian Mathematics
  • An overview of Indian mathematics
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  • Ancient Indian mathematicians
    800 BC Baudhayana Bhaskara I Brahmadeva 750 BC Manava Lalla Bhaskara II 600 BC Apastamba Govindasvami Mahendra Suri 520 BC Panini Mahavira Narayana 200 BC Katyayana Prthudakasvami Madhava 120 AD Yavanesvara Sankara Paramesvara Aryabhata I ... Jagannatha The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/Indexes/Indians.html Thinking Pages Home Feedback Contact
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    20. .::Vedic Mathematics::.
    Apastamba Aryabhata I Aryabhata II Baudhayana Bhaskara I Bhaskara II Bose BrahmadevaBrahmagupta De Morgan, govindasvami HarishChandra Jagannatha Jyesthadeva
    http://www.sanalnair.org/articles/vedmath/india-1.htm
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    Mathematicians born in India
    Apastamba
    Aryabhata I

    Aryabhata II

    Baudhayana
    ...
    Yavanesvara

    The ORIGINAL URL of this page is:
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