11-20-2005, 10:18 AM
Note I am only reproducing my own posts since otherwise the custodians at BR may choose in their infinite wisdom to zap this arcihve forever
<!--QuoteBegin-->QUOTE<!--QuoteEBegin-->you have to go to a reputed University library (maybe IIM, Ahmedabad has one i dont know) and look for magazines (such as Ganita )and books. I have been told IIT, Bombay has an outstanding library
The original Sanskrit texts have been published i believe by Munshiram Manoharlal & Motilal Banarsidas. Here are a list of publishers
http://dir.indiamart.com/indianexporters/book_art.html
It is very difficult to find original sanskrit texts in the US and we have to order from Delhi, so i would be grateful if you could post any sources which you have found useful in your search. I have been looking for a book on the Apastamba Sulava Sutra with original verses.
I will be happy to help you search , in case you have a slow internet connection.
Kaushal
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Kaushal
BRFite
Joined: 31 Dec 1969
Posts: 481
Posted: 22 Aug 2002  Post subject: Re: Ancient (and recent) Indian Mathematics Â
--------------------------------------------------------------------------------
A good place to start are some of these articles;
http://www-gap.dcs.st-and.ac.uk/~history/R...Bhaskara_I.html
References for Bhaskara I
--------------------------------------------------------------------------------
Biography in Dictionary of Scientific Biography (New York 1970-1990).
Books:
K Shankar Shukla, Bhaskara I, Bhaskara I and his works II. Maha-Bhaskariya (Sanskrit) (Lucknow, 1960).
K Shankar Shukla, Bhaskara I, Bhaskara I and his works III. Laghu-Bhaskariya (Sanskrit) (Lucknow, 1963).
Articles:
R C Gupta, Bhaskara I's approximation to sine, Indian J. History Sci. 2 (1967), 121-136.
R C Gupta, On derivation of Bhaskara I's formula for the sine, Ganita Bharati 8 (1-4) (1986), 39-41.
T Hayashi, A note on Bhaskara I's rational approximation to sine, Historia Sci. No. 42 (1991), 45-48.
P K Majumdar, A rationale of Bhaskara I's method for solving ax ± c = by, Indian J. Hist. Sci. 13 (1) (1978), 11-17.
P K Majumdar, A rationale of Bhatta Govinda's method for solving the equation ax - c = by and a comparative study of the determination of "Mati" as given by Bhaskara I and Bhatta Govinda, Indian J. Hist. Sci. 18 (2) (1983), 200-205.
A Mukhopadhyay and M R Adhikari, A step towards incommensurability of and Bhaskara I : An episode of the sixth century AD, Indian J. Hist. Sci. 33 (2) (1998), 119-129.
A Mukhopadhyay and M R Adhikari, The concept of cyclic quadrilaterals: its origin and development in India (from the age of Sulba Sutras to Bhaskara I, Indian J. Hist. Sci. 32 (1) (1997), 53-68.
K S Shukla, Hindu mathematics in the seventh century as found in Bhaskara I's commentary on the Aryabhatiya, Ganita 22 (1) (1971), 115-130.
K S Shukla, Hindu mathematics in the seventh century as found in Bhaskara I's commentary on the Aryabhatiya II, Ganita 22 (2) (1971), 61-78.
K S Shukla, Hindu mathematics in the seventh century as found in Bhaskara I's commentary on the Aryabhatiya III, Ganita 23 (1) (1972), 57-79
K S Shukla, Hindu mathematics in the seventh century as found in Bhaskara I's commentary on the Aryabhatiya IV, Ganita 23 (2) (1972), 41-50.
I I Zaidullina, Bhaskara I and his work (Russian), Istor. Metodol. Estestv. Nauk No. 36 (1989), 45-49.
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Kaushal
BRFite
Joined: 31 Dec 1969
Posts: 481
Posted: 22 Aug 2002  Post subject: Re: Ancient (and recent) Indian Mathematics Â
--------------------------------------------------------------------------------
http://www-gap.dcs.st-and.ac.uk/~history/H...ulbasutras.html
References for The Indian Sulbasutras
Books
B Datta, The science of the Sulba (Calcutta, 1932).
G G Joseph, The crest of the peacock (London, 1991).
Articles
R C Gupta, New Indian values of from the Manava sulba sutra, Centaurus 31 (2) (1988), 114-125.
R C Gupta, Baudhayana's value of 2, Math. Education 6 (1972), B77-B79.
S C Kak, Three old Indian values of , Indian J. Hist. Sci. 32 (4) (1997), 307-314.
R P Kulkarni, The value of known to Sulbasutrakaras, Indian J. Hist. Sci. 13 (1) (1978), 32-41.
G Kumari, Some significant results of algebra of pre-Aryabhata era, Math. Ed. (Siwan) 14 (1) (1980), B5-B13.
A Mukhopadhyay and M R Adhikari, The concept of cyclic quadrilaterals : its origin and development in India (from the age of Sulba Sutras to Bhaskara I, Indian J. Hist. Sci. 32 (1) (1997), 53-68.
A E Raik and V N Ilin, A reconstruction of the solution of certain problems from the Apastamba Sulbasutra of Apastamba (Russian), in A P Juskevic, S S Demidov, F A Medvedev and E I Slavutin, Studies in the history of mathematics 19 "Nauka" (Moscow, 1974), 220-222; 302.
--------------------------------------------------------------------------------
Back to top   Â
Kaushal
BRFite
Joined: 31 Dec 1969
Posts: 481
Posted: 22 Aug 2002  Post subject: Re: Ancient (and recent) Indian Mathematics Â
--------------------------------------------------------------------------------
Dharmapal's Bha_rata: eCourse
DHARAMPALs INDIA
AN INTRO-ORIENTATION COURSE ON THE DHARAMPALJIs WORK
Background
For the un-initiated, Dharampal is a Gandhian - Historian who has
researched and brought to the notice of the public at large many new
insights and levels of thinking that were neither professed nor
popularised by the mainstream historians. His books on Eighteenth
Century Indian Science and Technology, Pre-British Indian Education
System, Panchayat System in the pre-Colonial era and others all have
brought about a new method of looking at the past of this country
and at the archival material available with the various archives,
museums and libraries on India.
It has been his quest to understand the meaning and life of ordinary
people of this country, their methods of organising their lives and
the tools and means they adopt in doing so, their customs and
culture and their aspirations, he has travelled a vast research
journey mostly alone and documenting scraps of material which
incidentally has opened a huge body of knowledge for the rest of the
world. He maintains, that it is the need to convince himself of the
meaning behind the events in history and ascertain and validate the
facts that has driven him in his work. That some of them have been
published and the publications has inspired many individuals and
launched institutions is a consequence he probably did not predict
or prepare for.
eCourse
The eCourse - DHARAMPAL'S INDIA would highlight his views, work and
interpretation of historical events. Though by no means this would
claim to be comprehensive, we have designed this course to be an
introduction and orientation to his larger works.
SAMANVAYA has had the privilege of working with Dharampalji for over
2 years now.
The course will be limited to few people who are inclined towards
further learning / work based on this understanding. The course
would consist of short capsule of materials selected by people who
have worked with Dharampalji; these would be mailed across followed
by a discussion on the same.
If you are interested to register, please mail samanvaya@vsnl.com
with a note on yourself and why you are interested. The course will
be for a duration of 3 weeks on-line starting late September. <!--QuoteEnd--><!--QuoteEEnd-->
<!--QuoteBegin-->QUOTE<!--QuoteEBegin-->you have to go to a reputed University library (maybe IIM, Ahmedabad has one i dont know) and look for magazines (such as Ganita )and books. I have been told IIT, Bombay has an outstanding library
The original Sanskrit texts have been published i believe by Munshiram Manoharlal & Motilal Banarsidas. Here are a list of publishers
http://dir.indiamart.com/indianexporters/book_art.html
It is very difficult to find original sanskrit texts in the US and we have to order from Delhi, so i would be grateful if you could post any sources which you have found useful in your search. I have been looking for a book on the Apastamba Sulava Sutra with original verses.
I will be happy to help you search , in case you have a slow internet connection.
Kaushal
Back to top   Â
Kaushal
BRFite
Joined: 31 Dec 1969
Posts: 481
Posted: 22 Aug 2002  Post subject: Re: Ancient (and recent) Indian Mathematics Â
--------------------------------------------------------------------------------
A good place to start are some of these articles;
http://www-gap.dcs.st-and.ac.uk/~history/R...Bhaskara_I.html
References for Bhaskara I
--------------------------------------------------------------------------------
Biography in Dictionary of Scientific Biography (New York 1970-1990).
Books:
K Shankar Shukla, Bhaskara I, Bhaskara I and his works II. Maha-Bhaskariya (Sanskrit) (Lucknow, 1960).
K Shankar Shukla, Bhaskara I, Bhaskara I and his works III. Laghu-Bhaskariya (Sanskrit) (Lucknow, 1963).
Articles:
R C Gupta, Bhaskara I's approximation to sine, Indian J. History Sci. 2 (1967), 121-136.
R C Gupta, On derivation of Bhaskara I's formula for the sine, Ganita Bharati 8 (1-4) (1986), 39-41.
T Hayashi, A note on Bhaskara I's rational approximation to sine, Historia Sci. No. 42 (1991), 45-48.
P K Majumdar, A rationale of Bhaskara I's method for solving ax ± c = by, Indian J. Hist. Sci. 13 (1) (1978), 11-17.
P K Majumdar, A rationale of Bhatta Govinda's method for solving the equation ax - c = by and a comparative study of the determination of "Mati" as given by Bhaskara I and Bhatta Govinda, Indian J. Hist. Sci. 18 (2) (1983), 200-205.
A Mukhopadhyay and M R Adhikari, A step towards incommensurability of and Bhaskara I : An episode of the sixth century AD, Indian J. Hist. Sci. 33 (2) (1998), 119-129.
A Mukhopadhyay and M R Adhikari, The concept of cyclic quadrilaterals: its origin and development in India (from the age of Sulba Sutras to Bhaskara I, Indian J. Hist. Sci. 32 (1) (1997), 53-68.
K S Shukla, Hindu mathematics in the seventh century as found in Bhaskara I's commentary on the Aryabhatiya, Ganita 22 (1) (1971), 115-130.
K S Shukla, Hindu mathematics in the seventh century as found in Bhaskara I's commentary on the Aryabhatiya II, Ganita 22 (2) (1971), 61-78.
K S Shukla, Hindu mathematics in the seventh century as found in Bhaskara I's commentary on the Aryabhatiya III, Ganita 23 (1) (1972), 57-79
K S Shukla, Hindu mathematics in the seventh century as found in Bhaskara I's commentary on the Aryabhatiya IV, Ganita 23 (2) (1972), 41-50.
I I Zaidullina, Bhaskara I and his work (Russian), Istor. Metodol. Estestv. Nauk No. 36 (1989), 45-49.
Back to top   Â
Kaushal
BRFite
Joined: 31 Dec 1969
Posts: 481
Posted: 22 Aug 2002  Post subject: Re: Ancient (and recent) Indian Mathematics Â
--------------------------------------------------------------------------------
http://www-gap.dcs.st-and.ac.uk/~history/H...ulbasutras.html
References for The Indian Sulbasutras
Books
B Datta, The science of the Sulba (Calcutta, 1932).
G G Joseph, The crest of the peacock (London, 1991).
Articles
R C Gupta, New Indian values of from the Manava sulba sutra, Centaurus 31 (2) (1988), 114-125.
R C Gupta, Baudhayana's value of 2, Math. Education 6 (1972), B77-B79.
S C Kak, Three old Indian values of , Indian J. Hist. Sci. 32 (4) (1997), 307-314.
R P Kulkarni, The value of known to Sulbasutrakaras, Indian J. Hist. Sci. 13 (1) (1978), 32-41.
G Kumari, Some significant results of algebra of pre-Aryabhata era, Math. Ed. (Siwan) 14 (1) (1980), B5-B13.
A Mukhopadhyay and M R Adhikari, The concept of cyclic quadrilaterals : its origin and development in India (from the age of Sulba Sutras to Bhaskara I, Indian J. Hist. Sci. 32 (1) (1997), 53-68.
A E Raik and V N Ilin, A reconstruction of the solution of certain problems from the Apastamba Sulbasutra of Apastamba (Russian), in A P Juskevic, S S Demidov, F A Medvedev and E I Slavutin, Studies in the history of mathematics 19 "Nauka" (Moscow, 1974), 220-222; 302.
--------------------------------------------------------------------------------
Back to top   Â
Kaushal
BRFite
Joined: 31 Dec 1969
Posts: 481
Posted: 22 Aug 2002  Post subject: Re: Ancient (and recent) Indian Mathematics Â
--------------------------------------------------------------------------------
Dharmapal's Bha_rata: eCourse
DHARAMPALs INDIA
AN INTRO-ORIENTATION COURSE ON THE DHARAMPALJIs WORK
Background
For the un-initiated, Dharampal is a Gandhian - Historian who has
researched and brought to the notice of the public at large many new
insights and levels of thinking that were neither professed nor
popularised by the mainstream historians. His books on Eighteenth
Century Indian Science and Technology, Pre-British Indian Education
System, Panchayat System in the pre-Colonial era and others all have
brought about a new method of looking at the past of this country
and at the archival material available with the various archives,
museums and libraries on India.
It has been his quest to understand the meaning and life of ordinary
people of this country, their methods of organising their lives and
the tools and means they adopt in doing so, their customs and
culture and their aspirations, he has travelled a vast research
journey mostly alone and documenting scraps of material which
incidentally has opened a huge body of knowledge for the rest of the
world. He maintains, that it is the need to convince himself of the
meaning behind the events in history and ascertain and validate the
facts that has driven him in his work. That some of them have been
published and the publications has inspired many individuals and
launched institutions is a consequence he probably did not predict
or prepare for.
eCourse
The eCourse - DHARAMPAL'S INDIA would highlight his views, work and
interpretation of historical events. Though by no means this would
claim to be comprehensive, we have designed this course to be an
introduction and orientation to his larger works.
SAMANVAYA has had the privilege of working with Dharampalji for over
2 years now.
The course will be limited to few people who are inclined towards
further learning / work based on this understanding. The course
would consist of short capsule of materials selected by people who
have worked with Dharampalji; these would be mailed across followed
by a discussion on the same.
If you are interested to register, please mail samanvaya@vsnl.com
with a note on yourself and why you are interested. The course will
be for a duration of 3 weeks on-line starting late September. <!--QuoteEnd--><!--QuoteEEnd-->