1. The Kerala School, European Mathematics And Navigation CK Raju, the well known mathematician and historian of science, has also writtena good deal not only on the famous work, Yuktibhasa by jyesthadeva, but also http://www.infinityfoundation.com/mandala/t_es/t_es_agraw_kerala.htm

The Kerala School, European Mathematics and Navigation By D.P. Agrawal The National Geographic has declared Kerala, the south-west coast near the tip of the Indian peninsula, as God's Own Country. It has been a centre of maritime trade, with its rich variety of spices greatly in demand, even as early as the time of the Babylonians. Famous travellers and explorers such as Ibn Battuta and Vasco da Gama came from across the Arabian Sea. In recent years, Kerala has gained recognition for its role in the reconstruction of medieval Indian mathematics. Joseph (1994) has very emphatically brought out the significance of the Kerala school of Maths in his The Crest of the Peacock , though the Eurocentric scholars have severely criticized it. C.K. Raju, the well known mathematician and historian of science, has also written a good deal not only on the famous work, Yuktibhasa Tantra Samgraha , Jyesthadeva's Yuktibhasa , Putumana Somayaji's Karana Paddhati and Sankara Varman' s Sadratnamala Tantra Samgraha , he claimed that this work laid the foundation for a complete system of fluxions ['Fluxion' was the term used by Isaac Newton for the rate of change (derivative) of a continuously varying quantity, or function, which he called a 'fluent']. The

2. History Of Indian Astronomy b) Vakyakarana (AD 1300) and Drkharana by jyesthadeva (AD 1500 1610). c)Yuktibhasa by jyesthadeva on astronomy and mathematics. http://www.stormpages.com/swadhwa/hofa/ia.html

History of Indian Astronomy Suggested Text Treasures of Ancient Indian Astronomy A ncient Indians' interest in astronomy was an extension of their religious preoccupations and inasmuch, astronomy and mathematics ran parallel. Both were faithful to the needs of objectivity and subjectivity. Astronomy began as mere wonder at what was observed in the heavens above, grew into a systematic observation and speculation, hence forward into scientific inquiry and interpretation, finally emerging as a sophisticated discipline. Mystical interpretations of the movement of stars and planets developed into astrological science, and astronomy grew into a major factor in the intellectual pursuits of different cultural periods. The chief sources of astronomy-related information are the Vedic texts, Jain literature, and the siddhantas (texts), as also the endeavours in Kerala. Some seals of the Indus Valley period are believed to yield information of the knowledge available to those early settlers, as also the orientation of certain constructions clearly governed by such considerations. An interesting aspect is the Jantar Mantar observatories built by Sawai Jai Singh of Jaipur. There are 5 such structures for measuring time and for astronomy-related calculations, at New Delhi, Varanasi, Jaipur, Mathura and Ujjain. These eighteenth century astrolabes are important for both scientific and architectural reasons. Sawai Jai Singh, in his determination to provide accurate astrological tables, ordered these gigantic structures of stone. The Jaipur observatory includes the largest sundial in the world with a 90 feet high projecting arm (the gnomon). The measurements achieved by these Jantar Mantars were particularly impressive for their time - the astronomical table was very accurate and in some instances, better than contemporary western ones. This table was published in Persian and Sanskrit as the Zij Muhammad Shahi. The time was and is calculated by a study of the shadows cast by the central straight walls on to the curved walls beyond. The weather forecasts and other information provided by these sundials are very much in use at present, for religious and practical purposes.

3. History Of Mathematics: Chronology Of Mathematicians 15301600) *SB *W. jyesthadeva (c. 1550) Wilhelm Holzmann (Xylander) (1532-1576 http://aleph0.clarku.edu/~djoyce/mathhist/chronology.html

Chronological List of Mathematicians Note: there are also a chronological lists of mathematical works and mathematics for China , and chronological lists of mathematicians for the Arabic sphere Europe Greece India , and Japan Table of Contents 1700 B.C.E. 100 B.C.E. 1 C.E. To return to this table of contents from below, just click on the years that appear in the headers. Footnotes (*MT, *MT, *RB, *W, *SB) are explained below List of Mathematicians 1700 B.C.E. Ahmes (c. 1650 B.C.E.) *MT 700 B.C.E. Baudhayana (c. 700) 600 B.C.E. Thales of Miletus (c. 630-c 550) *MT Apastamba (c. 600) Anaximander of Miletus (c. 610-c. 547) *SB Pythagoras of Samos (c. 570-c. 490) *SB *MT Anaximenes of Miletus (fl. 546) *SB Cleostratus of Tenedos (c. 520) 500 B.C.E. Katyayana (c. 500) Nabu-rimanni (c. 490) Kidinu (c. 480) Anaxagoras of Clazomenae (c. 500-c. 428) *SB *MT Zeno of Elea (c. 490-c. 430) *MT Antiphon of Rhamnos (the Sophist) (c. 480-411) *SB *MT Oenopides of Chios (c. 450?) *SB Leucippus (c. 450) *SB *MT Hippocrates of Chios (fl. c. 440) *SB Meton (c. 430) *SB

4. Science In India: History Of Mathematics: Indian Mathematicians And Astronomers, upon the results of Madhava while jyesthadeva (16th C, Kerala) provided detailed proofs It is also notable that jyesthadeva's Yuktibhasa which contained commentaries on Nilkantha's http://members.tripod.com/~INDIA_RESOURCE/mathematics.htm

var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded" Check out the NEW Hotbot Tell me when this page is updated SOUTH ASIAN HISTORY Pages from the history of the Indian sub-continent: Science and Mathematics in India History of Mathematics in India In all early civilizations, the first expression of mathematical understanding appears in the form of counting systems. Numbers in very early societies were typically represented by groups of lines, though later different numbers came to be assigned specific numeral names and symbols (as in India) or were designated by alphabetic letters (such as in Rome). Although today, we take our decimal system for granted, not all ancient civilizations based their numbers on a ten-base system. In ancient Babylon, a sexagesimal (base 60) system was in use. The Decimal System in Harappa In India a decimal system was already in place during the Harappan period, as indicated by an analysis of Harappan weights and measures. Weights corresponding to ratios of 0.05, 0.1, 0.2, 0.5, 1, 2, 5, 10, 20, 50, 100, 200, and 500 have been identified, as have scales with decimal divisions. A particularly notable characteristic of Harappan weights and measures is their remarkable accuracy. A bronze rod marked in units of 0.367 inches points to the degree of precision demanded in those times. Such scales were particularly important in ensuring proper implementation of town planning rules that required roads of fixed widths to run at right angles to each other, for drains to be constructed of precise measurements, and for homes to be constructed according to specified guidelines. The existence of a gradated system of accurately marked weights points to the development of trade and commerce in Harappan society.

5. 'Vedic Practices Provided The Inspiration For Advances In Astronomy And Mathemat savants like Govinda Bhatta, Damodara, Nilakantha Somayaji, jyesthadeva, Acyuta Pisharati and Putumana Somayaji added to http://www.bharatvani.org/general_inbox/pramod/fyicolumn.html

'Vedic practices provided the inspiration for advances in astronomy and mathematics' (Excerpted from an article by B.V.Subbarayyappa in the book India 1000 to 2000, Editor : T.J.S.George, published in December 1999 by Express Publications (Madurai) Ltd, Express Estates, Anna Salai, Chennai - 600 002. The excerpt was also published in The New Indian Express on Sunday in the FYI column on April 8, 2001.) Jyothisha (astronomy) was one of the six auxiliaries of the Vedas and the earliest Indian astronomical text goes by the name of Vedanga Jyotisha . Year-long sacrifices commenced from the day following the winter solstice and Vedic knowledge of both winter and summer solstices was fairly accurate. The Vedanga Jyotisha had developed a concept of a cycle of 5 years (one Yuga) for luni-solar and other time adjustments with intercalation at regular intervals. Indian mathematics too owes its primary inspiration to Vedic practices. The Shulba sutras, part of another Vedic auxiliary called the Kalpa sutras, deal with the construction of several types of brick altars and in that context with certain geometrical problems including the Pythagorean theorem, squaring a circle, irrational numbers and the like. Yet another Vedic auxiliary, Metrics (chandah), postulated a triangular array for determining the type of combinations of 'n' syllables of long and short sounds for metrical chanting. This was mathematically developed by Halayudha who lived in Karnataka (10th Century) into a pyramidal expansion of numbers. Such an exercise appeared six centuries later in Europe, known as Pascal's triangle. Vedic mathematics and astronomy were pragmatic and integrated with Vedic religio-philosophical life.

6. Jyesthadeva jyesthadeva. Born about 1500 in Kerala, India Died about 1575 in Kerala, India. jyesthadevalived on the southwest coast of India in the district of Kerala. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Jyesthadeva.html

Jyesthadeva Born: about 1500 in Kerala, India Died: about 1575 in Kerala, India Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Jyesthadeva lived on the southwest coast of India in the district of Kerala. He belonged to the Kerala school of mathematics built on the work of Madhava Nilakantha Somayaji, Paramesvara and others. Jyesthadeva wrote a famous text Yuktibhasa which he wrote in Malayalam, the regional language of Kerala. The work is a survey of Kerala mathematics and, very unusually for an Indian mathematical text, it contains proofs of the theorems and gives derivations of the rules it contains. It is one of the main astronomical and mathematical texts produced by the Kerala school. The work was based mainly on the Tantrasamgraha of Nilakantha The Yuktibhasa is a major treatise, half on astronomy and half on mathematics, written in 1501. The Tantrasamgraha on which it is based consists of 432 Sanskrit verses divided into 8 chapters, and it covers various aspects of Indian astronomy. It is based on the epicyclic and eccentric models of planetary motion. The first two chapters deal with the motions and longitudes of the planets. The third chapter Treatise on shadow deals with various problems related with the sun's position on the celestial sphere, including the relationships of its expressions in the three systems of coordinates, namely ecliptic, equatorial and horizontal coordinates.

7. Jyesthadeva Biography of jyesthadeva (15001575) jyesthadeva lived on the southwest coast of India in the district of Kerala jyesthadeva wrote a famous text Yuktibhasa which he wrote in Malayalam, the regional language of Kerala http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Jyesthadeva.html

Jyesthadeva Born: about 1500 in Kerala, India Died: about 1575 in Kerala, India Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Jyesthadeva lived on the southwest coast of India in the district of Kerala. He belonged to the Kerala school of mathematics built on the work of Madhava Nilakantha Somayaji, Paramesvara and others. Jyesthadeva wrote a famous text Yuktibhasa which he wrote in Malayalam, the regional language of Kerala. The work is a survey of Kerala mathematics and, very unusually for an Indian mathematical text, it contains proofs of the theorems and gives derivations of the rules it contains. It is one of the main astronomical and mathematical texts produced by the Kerala school. The work was based mainly on the Tantrasamgraha of Nilakantha The Yuktibhasa is a major treatise, half on astronomy and half on mathematics, written in 1501. The Tantrasamgraha on which it is based consists of 432 Sanskrit verses divided into 8 chapters, and it covers various aspects of Indian astronomy. It is based on the epicyclic and eccentric models of planetary motion. The first two chapters deal with the motions and longitudes of the planets. The third chapter Treatise on shadow deals with various problems related with the sun's position on the celestial sphere, including the relationships of its expressions in the three systems of coordinates, namely ecliptic, equatorial and horizontal coordinates.

8. References For Jyesthadeva References for jyesthadeva. Books GG The URL of this page is http//wwwhistory.mcs.st-andrews.ac.uk/References/jyesthadeva.html. http://www-gap.dcs.st-and.ac.uk/~history/References/Jyesthadeva.html

References for Jyesthadeva Books: G G Joseph, The crest of the peacock (London, 1991). K V Sarma, A History of the Kerala School of Hindu Astronomy (Hoshiarpur, 1972). R C Gupta, Addition and subtraction theorems for the sine and the cosine in medieval India, Indian J. History Sci. R C Gupta, The Madhava-Gregory series, Math. Education S Parameswaran, Madhavan, the father of analysis, Ganita-Bharati K V Sarma, and S Hariharan, Yuktibhasa of Jyesthadeva : a book of rationales in Indian mathematics and astronomy - an analytical appraisal, Indian J. Hist. Sci. 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/Jyesthadeva.html

9. References For Jyesthadeva References for the biography of jyesthadeva K V Sarma, and S Hariharan, Yuktibhasa of jyesthadeva a book of rationales in Indian mathematics and astronomy an http://www-history.mcs.st-and.ac.uk/history/References/Jyesthadeva.html

References for Jyesthadeva Books: G G Joseph, The crest of the peacock (London, 1991). K V Sarma, A History of the Kerala School of Hindu Astronomy (Hoshiarpur, 1972). R C Gupta, Addition and subtraction theorems for the sine and the cosine in medieval India, Indian J. History Sci. R C Gupta, The Madhava-Gregory series, Math. Education S Parameswaran, Madhavan, the father of analysis, Ganita-Bharati K V Sarma, and S Hariharan, Yuktibhasa of Jyesthadeva : a book of rationales in Indian mathematics and astronomy - an analytical appraisal, Indian J. Hist. Sci. 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/Jyesthadeva.html

10. 9 III. Madhava Of Sangamagramma only speculative. All we know of Madhava comes from works of laterscholars, primarily Nilakantha and jyesthadeva. G Joseph also http://www-history.mcs.st-andrews.ac.uk/history/Projects/Pearce/Chapters/Ch9_3.h

Indian Mathematics MacTutor Index Previous page (9 II. Mathematicians of Kerala) Contents Next page (9 IV. Possible transmission of Keralese mathematics to Europe) 9 III. Madhava of Sangamagramma Although born in Cochin on the Keralese coast before the previous four scholars I have chosen to save my discussion of Madhava of Sangamagramma (c. 1340 - 1425) till last, as I consider him to be the greatest mathematician-astronomer of medieval India. Sadly all of his mathematical works are currently lost, although it is possible extant work may yet be 'unearthed'. It is vaguely possible that he may have written Karana Paddhati a work written sometime between 1375 and 1475, but this is only speculative. All we know of Madhava comes from works of later scholars, primarily Nilakantha and Jyesthadeva. G Joseph also mentions surviving astronomical texts, but there is no mention of them in any other text I have consulted. His most significant contribution was in moving on from the finite procedures of ancient mathematics to 'treat their limit passage to infinity', which is considered to be the essence of modern classical analysis. Although there is not complete certainty it is thought Madhava was responsible for the discovery of all of the following results: = tan - (tan )/3 + (tan )/5 - ... , equivalent to

11. 9 II. Mathematicians Of Kerala jyesthadeva (c. 15001575) was a member of the Kerala School, which wasfounded on the work of Madhava, Nilakantha, Paramesvara and others. http://www-history.mcs.st-andrews.ac.uk/history/Projects/Pearce/Chapters/Ch9_2.h

Indian Mathematics MacTutor Index Previous page (9: Keralese mathematics I. Introduction) Contents Next page (9 III. Madhava of Sangamagramma) 9 II. Mathematicians of Kerala Narayana Pandit (c. 1340-1400), the earliest of the notable Keralese mathematicians, is known to have definitely written two works, an arithmetical treatise called Ganita Kaumudi and an algebraic treatise called Bijganita Vatamsa . He was strongly influenced by the work of Bhaskara II, which proves work from the classic period was known to Keralese mathematicians and was thus influential in the continued progress of the subject. Due to this influence Narayana is also thought to be the author of an elaborate commentary of Bhaskara II 's Lilavati , titled Karmapradipika (or Karma-Paddhati ). It has been suggested that this work was written in conjunction with another scholar, Sankara Variyar , while others attribute the work to Madhava (see later). Although the Karmapradipika contains very little original work, seven different methods for squaring numbers are found within it, a contribution that is wholly original to the author. Narayana 's other major works contain a variety of mathematical developments, including a rule to calculate approximate values of square roots, using the second order indeterminate equation

12. Jyesthadeva Index of /~history/Mathematicians Jourdain.html 05Mar-2004 1754 4.7K Juel.html 14-May-2004 1615 8.6K Julia.html14-May-2004 1615 5.9K Jungius.html 05-Mar-2004 1754 7.8K jyesthadeva.html 05 http://turnbull.mcs.st-and.ac.uk/history/Mathematicians/Jyesthadeva.html

Jyesthadeva Born: about 1500 in Kerala, India Died: about 1575 in Kerala, India Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Jyesthadeva lived on the southwest coast of India in the district of Kerala. He belonged to the Kerala school of mathematics built on the work of Madhava Nilakantha Somayaji, Paramesvara and others. Jyesthadeva wrote a famous text Yuktibhasa which he wrote in Malayalam, the regional language of Kerala. The work is a survey of Kerala mathematics and, very unusually for an Indian mathematical text, it contains proofs of the theorems and gives derivations of the rules it contains. It is one of the main astronomical and mathematical texts produced by the Kerala school. The work was based mainly on the Tantrasamgraha of Nilakantha The Yuktibhasa is a major treatise, half on astronomy and half on mathematics, written in 1501. The Tantrasamgraha on which it is based consists of 432 Sanskrit verses divided into 8 chapters, and it covers various aspects of Indian astronomy. It is based on the epicyclic and eccentric models of planetary motion. The first two chapters deal with the motions and longitudes of the planets. The third chapter Treatise on shadow deals with various problems related with the sun's position on the celestial sphere, including the relationships of its expressions in the three systems of coordinates, namely ecliptic, equatorial and horizontal coordinates.

13. Full Alphabetical Index List of mathematical biographies indexed alphabetically Jungius, Joachim (283*) jyesthadeva ( 641) K. Kac, Mark (1697 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*)

14. Great Indian Mathematicians Sankara Variar, (c. 15001560). Narayana, (c. 1500-1575). jyesthadeva, (550). AcyutaPisarati, (c. 1550-1621). Putumana Somayaji, (c. 1660-1740). Jaganath Pandit, (1700). http://hinduism.about.com/library/weekly/extra/bl-indianmathematicians.htm

zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') About Hinduism Home Essentials ... Articles Archive zau(256,152,145,'gob','http://z.about.com/5/ad/go.htm?gs='+gs,''); Astrology The Bhagavad Gita Hinduism for Kids Ancient India ... Help zau(256,138,125,'el','http://z.about.com/0/ip/417/0.htm','');w(xb+xb); Stay Current Subscribe to the About Hinduism newsletter. Search Hinduism Great Mathematicians Mathematicians of India MATHEMATICIAN TIME PERIOD Baudhayana (700 B.C.E.) Apastamba Katyayana Umaswati (150 B.C.E.) Aryabhata (476-c. 550 C.E.) Varahamihira (c. 505-c. 558) Brahmagupta (c. 598-c. 670) Govindaswami (c. 800-850) Mahavira (Mahaviracharya) Pruthudakaswami Sridhara Manjula Aryabhata II Prashastidhara Halayudha Jayadeva Sripathi Hemachandra Suri (b. 1089) Bhaskara (1114-c. 1185) Cangadeva Madhava of Sangamagramma (c. 1340-1425) Narayama Pandit Paramesvara Nilakantha Somayaji Sankara Variar (c. 1500-1560)

15. Harmonic Analysis, 2nd Edition, By Henry Helson, Hindustan Book triangles is due to the 16thcentury Hindu mathematician jyesthadeva, who explicitly described a power series equivalent http://www.ams.org/bull/1996-33-04/S0273-0979-96-00682-9/S0273-0979-96-00682-9.p

16. Historia Matematica Mailing List Archive: [HM] Indian Derivatio They also cite a 1958 paper by KV Sarma that identifies jyesthadeva as the authorof the Yuktibhasa, and they give his dates as c. 1500 - c. 1610 (sic). http://sunsite.utk.edu/math_archives/.http/hypermail/historia/aug00/0030.html

[HM] Indian derivation of sine series Subject: [HM] Indian derivation of sine series From: David M. Bressoud ( bressoud@macalester.edu Date: Mon Aug 07 2000 - 17:11:14 EDT Next message: Abe Shenitzer: "Re: [HM] About the Analytic Art." Previous message: Nimish Shah: "Re: [HM] About the Analytic Art." Next in thread: Kim Plofker: "Re: [HM] Indian derivation of sine series" Reply: Kim Plofker: "Re: [HM] Indian derivation of sine series" Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] Regarding the Indian derivation of the sine and cosine series, I am confused by what I find in both the scholarly and popular literature. Below, I summarize what I have found. I ask for help: What is currently considered reliable, what is questionable, what are the current best guesses for dates and attributions? Rajagopal & Venkataram ("The sine and cosine power-series in Hindu Mathematics", J. Royal Asiatic Society of Bengal. Science. 1949) assert that these series are in Nilakantha's Tantrasamgraha of ca 1500 and even quote it. The explanation of the derivation is given in the Yukti-Bhasa

17. Indian Mathematics Index Yativrsabha. 920. Aryabhata II. 1500. jyesthadeva. 505. Varahamihira. 940 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

18. The Development Of Infinite Series In Three Cultures - Background And Internal A 1850 The Tantrasamgraha ( A Digest of Scientific Knowledge ) of Nilakantha (14441545),the Yuktibhasa An Exposition of the Rationale of jyesthadeva (fl. http://mailbox.univie.ac.at/Martin.Potschka/papersISSEI1996/Ghevergh.htm

Workshop 3 (I: History, Geography, Science ) Science and other Systems of Belief Session: 5. Mathematics, Astronomy, Astrology Workshop Chair: Martin Potschka The Development of Infinite Series in Three Cultures - Background and Internal Achievement Author: George Gheverghese Joseph Keywords: China, Mathematics, India Introduction Two powerful tools contributed to the creation of modern mathematics in the seventeenth century: the discovery of the general algorithms of calculus and the development and application of infinite series techniques. These two streams of discovery reinforced each other in their simultaneous development because each served to extend the range of application of the other. The origin of the analysis and derivations of certain infinite series, notably those relating to the arctangent, sine and cosine, was not in Europe, but an area in South India that now falls within the state of Kerala. From a region covering about five hundred square kilometres north of Cochin and during the period between the 14th and 16th centuries, there emerged discoveries in infinite series that predate similar work of Gregory, Newton and Leibniz by three hundred years. There are several questions worth exploring about the activities of this group of mathematicians/astronomers (hereafter called the Kerala School), apart from technical ones relating to the mathematical content of their work. In this paper we confine our attention to their background and the motivation underlying their interest in a particular series, the arctan series (and its special case, pi), and consider that work in a cross-cultural context by comparing it to similar work that emerged in Europe during the seventeenth century and in China during the eighteenth century.(

19. IndiensPortalen som fx Madhava (1300tallet, Kochi), sinus og cosinus. jyesthadeva (1500-tallet,Kerala) udarbejdede detaljerede beviser for Madhavas teoremer. http://indiensportalen.emu.dk/fagmappe/ma.htm

Matematik Indholdsfortegnelse: Matematiks historie i Indien Indiske matematikere Matematiske emner Spørg en indisk lærer/elev om matematik ... Gymnasieforløb Til lærere: IndiensPortalens forslag til undervisning i matematik bygger på åben vidensdeling mellem lærere. Derfor - hvis du har afprøvet et kort eller langt undervisningsemne eller et emne med flere fag, hvor indisk matematik eller indiske matematikere er inddraget, så send det venligst sammen med din e-mail adresse til IndiensPortal-redaktør birthe.molhave@skolekom.dk Derefter kan andre lærere henvende sig direkte til dig pr. e-mail med tak og eventuelle nye forslag. Husk at angive målgruppen som enten grundskolen eller gymnasiet. Det vil hjælpe brugerne til at finde det niveau, der passer dem. Undervisningsforslag er opstillet alfabetisk efter deres titel. Samarbejdsmuligheder mellem flere fag er markeret med et

20. GEORGE GHEVERGHESE JOSEPH'S HOME PAGE C. Pritchard), Cambridge University Press, Cambridge, 2003. (b) `Mathematics , `IndianMathematics , `Indian Geometry and `jyesthadeva in Encyclopedia of the http://les1.man.ac.uk/ses/staff/ggj/

GEORGE GHEVERGHESE JOSEPH HOME PAGE A DDRESS BIOGRAPHICAL DETAILS PUBLICATIONS ... LECTURES AND SEMINARS E-MAIL ADDRESSES George.Joseph@man.ac.uk beavergrease@yahoo.com G.G.Joseph@exeter.ac.uk George.Joseph@utoronto.ca BIOGRAPHICAL DETAIL S Aryabhateeyam , which was held in Thiruvanthapuram, Kerala, India. He has appeared on radio and televisions programmes in India, United States, Australia, South Africa and New Zealand as well as United Kingdom. His publications include four books: Women at Work ( Philip Allan, Oxford, 1983), The Crest of the Peacock: Non-European Roots of Mathematics ( 1st Hardback Edition, Tauris, 1991; 1st Paperback Edition, Penguin 1992, 2nd Edition, jointly by Penguin Books and Princeton University Press, 2000), Multicultural Mathematics: Teaching Mathematics from a Global Perspective (Oxford University Press, 1993) and George Joseph: Life and Times of a Kerala Christian Nationalist (Orient Longman, 2003). The last named book is a political biography of his grandfather, George Joseph, a close associate of Mahatma Gandhi, Jawarhalal Nehru and other leaders of modern India. His book, The Crest of the Peacock , has been translated into Italian entitled C'era una Volta un Numero (il Saggiatore, 2000), into Japanese (1995) and Spanish entitled

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 1     1-20 of 35    1  | 2  | Next 20