21. Alumbo Article - "Part.7" The ninth century saw mathematical progress with scholars such as Govindasvami,Mahavira, prthudakasvami, Sankara, and Sridhara. http://alumbo.com/article/10027-Part-7.html

Tools for Inspiration, Motivation and Success Search: Alumbo the Web Members Login Free Membership Submit Content About Alumbo! ... Advertise With Us Get Our Free Newsletter! Email: (view our privacy pledge Body Family Relationships Love Relationships ... (view more articles) Wednesday, September 7, 2005 You are here: Alumbo! Self-Help Supersite Part.7 India From History Of Mathematics In India. Part.1 A regular column by bhattathiry, Jan 19, 2004 Summary: History Of Mathematics In India Mathematics however was in a different position. It was only a tool used for making astronomical calculations. If one could produce innovative mathematical ideas then one could exhibit the truths of astronomy more easily. The mathematics therefore had to lead to the same answers as had been reached before but it was certainly good if it could achieve these more easily or with greater clarity. This meant that despite mathematics only being used as a computational tool for astronomy, the brilliant Indian scholars were encouraged by their culture to put their genius into advances in this topic. A contemporary of Brahmagupta who headed the research centre at Ujjain was Bhaskara I who led the Asmaka school. 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. More than 100 years after Bhaskara lived the astronomer Lalla, another commentator on Aryabhata.

22. Frontier India :: India Discussion Forums (Powered By Invision Power Board) many centuries. In 860 AD an extensive and important commentary on the BSSwas written by prthudakasvami (or Prithudaka Swami). His http://www.protonriver.com/forums/index.php?showtopic=931&pid=23074&mode=threade

23. Frontier India :: India Discussion Forums (Powered By Invision Power Board) nCr = {n(n 1)(n - 2)×××(n - r + 1)}/1.2.3. .r Following Mahavira the mostnotable mathematician was prthudakasvami (c. 830-890 AD) a prominent Indian http://www.protonriver.com/forums/index.php?showtopic=931&mode=threaded&pid=2307

24. INDOlink Arts-Culture Discussion Forum Forum - MATHEMATICS IN The ninth century saw mathematical progress with scholars such as Govindasvami,Mahavira, prthudakasvami, Sankara, and Sridhara. http://www.indolink.com/Forum/Arts-Culture/messages/4971.html

25. Prthudakasvami Indian mathematics Index 520 BC, Panini, 800, Mahavira, 1340, Narayana. 200 BC, Katyayana, 830, prthudakasvami,1350, Madhava. 120 AD, Yavanesvara, 840, Sankara, 1370, Paramesvara. http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Prthudakasvami.ht

Prthudakasvami Born: about 830 in India Died: about 890 in India Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Prthudakasvami is best known for his work on solving equations. The solution of a first-degree indeterminate equation by a method called kuttaka (or "pulveriser") was given by Aryabhata I . This method of finding integer solutions resembles the continued fraction process and can also be seen as a use of the Euclidean algorithm. Brahmagupta seems to have used a method involving continued fractions to find integer solutions of an indeterminate equation of the type ax c by . Prthudakasvami's commentary on Brahmagupta 's work is helpful in showing how "algebra", that is the method of calculating with the unknown, was developing in India. Prthudakasvami discussed the kuttaka method which he renamed as "bijagnita" which means the method of calculating with unknown elements. To see just how this new idea of algebra was developing in India, we look at the notation which was being used by Prthudakasvami in his commentary on Brahmagupta 's Brahma Sputa Siddhanta.

26. Pergunta Agora Translate this page Mahavira, Govindasvami, al-Kindi, Hunayn, Banu Musa, Ahmad, Al-Mahani, Thabit,prthudakasvami, Ahmed, Sankara Narayana, Abu Kamil, al-Battani, Sridhara, http://www.apm.pt/pa/index.asp?accao=showtext&id=3407

27. Dream 2047 : VP News The word BijagaSita is found for the first time in the work (a commentary on theBSS) of prthudakasvami (860 AD). Brahmagupta calls algebra kuttkaganita or http://www.vigyanprasar.com/dream/oct2000/oct2000.htm

VPNEWS PARTING THOUGHTS (II) To continue from where we left off last time, Vigyan Prasar can really make a difference to the overall science popularisation scene in the country! It has all the essential ingredients, in the form of major programmes/efforts, I mentioned last time, to transform itself into a powerhouse of incredible and unimaginable strengths capable of delivering unheard of results! Each one of the VP's major programmes referred to earlier, if handled appropriately, could develop into an independent, self-sustaining entity in its own right, under the overall VP umbrella, with greatly enhanced output. What would that mean in terms of the goals we are seeking to achieve? Vigyan Prasar books would also be distributed worldwide in many countries and also in many other non-Indian languages. Dream-2047 would develop into a very popular science magazine with a large circulation and several other language editions, besides Hindi and English. . NKS (To be continued) Tycho Brahe (1546-1601) Dr. Subodh Mahanti

28. Search Results For Solution* prthudakasvami The solution of a firstdegree indeterminate equation by a methodcalled kuttaka (or pulveriser ) was given by Aryabhata I. http://www-gap.dcs.st-and.ac.uk/~history/Search/historysearch.cgi?SUGGESTION=sol

29. .::Vedic Mathematics::. prthudakasvami. 1350. Madhava. 120 AD. Yavanesvara. 840. Sankara. 1370. Paramesvara.476. Aryabhata I. 870. Sridhara. 1444. Nilakantha. 500. Yativrsabha 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 Indian numerals The Indian Sulbasutras Jaina mathematics ... Chronology of Pi 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 Powered by thingal.com Webahn.com

30. Sources In Recreational Mathematics actually in prthudakasvami s commentary of 860. The Chiu Chang Suan Ching (c150)gives a five pipe cistern problem, which Vogel says is the first example. http://www.g4g4.com/david.htm

home g4g4.com Computing, Information Systems and Mathematics 87 Rodenhurst Road South Bank University London, SW4 8AF, England London, SE1 0AA, England Tel/fax: 0181-674 3676Tel: 0171-815 7411 Fax: 0171-815 7499E-mail: ZINGMAST@VAX.SBU.AC.UK QUERIES ON "SOURCES IN RECREATIONAL MATHEMATICS" by David Singmaster Last updated on 4 agosto 1996 I would be grateful for any information you can provide on the problems sketched below. My assertions should be treated as implied questions - a statement like "The earliest reference is ...." should be considered as "The earliest reference I know is .... Do you know any earlier ones or can you confirm this is the earliest?" Many of these topics have originated in publications which are difficult to search for - e.g. puzzle columns in newspapers and magazines, medieval and oriental books and manuscripts, unpublished letters, etc. I would be especially grateful for detailed references to such items, and photocopies. In particular, I have found a number of references which are

31. User:Gerritholl/mathematicians - Wikipedia, The Free Encyclopedia Ivan Privalov Joseph Privat de Molières - Proclus Diadochus - Gaspard deProny - prthudakasvami - Prophatius - Heinz Prüfer - Ptolemy - Victor Puiseux http://en.wikipedia.org/wiki/User:Gerritholl/mathematicians

Wikimedia needs your help in the final days of its fund drive. See our fundraising page The Red Cross and other charities also need your help. User:Gerritholl/mathematicians From Wikipedia, the free encyclopedia. User:Gerritholl edit Mathematicians Ernst Abbe Niels Henrik Abel Abraham bar Hiyya Max Abraham ... Antoni Zygmund Retrieved from " http://en.wikipedia.org/wiki/User:Gerritholl/mathematicians Views User page Discussion Edit this page History Personal tools Create account / log in Navigation Main Page Community portal Current events Recent changes ... Donations Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page was last modified 01:33, 19 August 2005. All text is available under the terms of the GNU Free Documentation License (see for details). About Wikipedia

32. "SOURCES IN RECREATIONAL MATHEMATICS" By David Singmaster Datta Singh cite Brahmagupta, but it is actually in prthudakasvami s commentaryof 860. The Chiu Chang Suan Ching (c150) gives a five pipe cistern http://anduin.eldar.org/~problemi/singmast/queries.html

Computing, Information Systems and Mathematics 87 Rodenhurst Road South Bank University London, SW4 8AF, England London, SE1 0AA, England Tel/fax: 0181-674 3676 Tel: 0171-815 7411 Fax: 0171-815 7499 E-mail: ZINGMAST@VAX.SBU.AC.UK QUERIES ON "SOURCES IN RECREATIONAL MATHEMATICS" by David Singmaster

33. VietReader! Forums 1702*) Pratt, John (331) Pringsheim, Alfred (69*) Privalov, Ivan (150*) Privat deMolières, Joseph (216) Proclus Diadochus (1316) prthudakasvami (263) Prony http://vietreader.com/forums/forum.php?id=F20021108075031NX&fid=23

34. Index Of /~history/Mathematicians 17Mar-2005 1737 7.1K TXT Lissajous.html 23-Nov-2004 1909 7.1K TXTprthudakasvami.html 26-Apr-2005 1048 7.1K TXT Bernoulli_Jacob(II). http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/?C=S;O=A

35. Index Of /~history/Mathematicians 13Jan-2005 1203 10K TXT Ptolemy.html 05-Jul-2005 1150 34K TXTPrufer.html 26-Apr-2005 1048 6.3K TXT prthudakasvami.html 26-Apr-2005 1048 7.1K http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/?C=N;O=D

36. 500_999 Index (830 890) prthudakasvami (835 - 912) Ahmed (836 - 901) Thabit (840 - 900)Sankara Narayana (850 - 930) Abu Kamil (850 - 929) al-Battani http://turnbull.dcs.st-and.ac.uk/history/Indexes/500_999.html

Mathematicians born from 500 to 999 Yativrsabha Varahamihira Brahmagupta Bhaskara I ... Al-Jayyani Alphabetical indexes A B C D ... XYZ Chronological indexes - 500 AD 1940-present Main index Biographies Index ... Search suggestions JOC/EFR August 2005 The URL of this page is: School of Mathematics and Statistics University of St Andrews, Scotland http://www-history.mcs.st-andrews.ac.uk/Indexes/@.html

37. Lloom.de - Kaum Gesucht, Schon Gefunden with ticket sales up http//www.sundaytimesoxfordliteraryfestival.co.uk/ 3. prthudakasvami for yavat havat which means http://lloom.de/0x2

Ihr Suchbegriff: Webseite bei lloom.de eintragen Impressum Nachrichten Zoll: Was darf ich mitnehmen? Das b¶se Erwachen kommt am Flughafen: Statt in die Wohnzimmervitrine wandern die Elfenbeinfiguren oder Korallen in die Asservatenkammer des Zolls - sie unterliegen dem Artenschutz. Doch auch bei Alkohol und Zigaretten geht nicht alles. Raumf¤hre "Discovery": Hitzeschild ist repariert Steve Robinson und Soichi Noguchi haben die schwierige und in der Geschichte der Raumfahrt einmalige Reparatur am Hitzeschild der "Discovery" erfolgreich gemeistert. Die zwei ¼berh¤ngenden Streifen des F¼llmaterials wurden entfernt. Deutschland: Rot-Gr¼n f¤llt weiter zur¼ck Wenn am n¤chsten Sonntag Bundestagswahl w¤re, w¼rden CDU und FDP mit groŸem Vorsprung gewinnen. Rot-Gr¼n dagegen verliert in der W¤hlergunst immer mehr Stimmen. Weitere Themen: halloween geburtstagskarten telefonbuch aldi ... herr der ringe Links: Peinliches und Humor Selbsthilfe Suche Reisen im www finden Musiksuchmaschine ... Auto- und Fahrzeugsuche * Die Nachrichten kommen immer aktuell aus dem Stern.de Newsfeed

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