References
on Astronomy
Aryabhatta
1.
Ansari, S.M.R.: A comparative study of the mathematics of
,4ryabhata I and AlKhwarizmi
— Celebrations of the 1500th Birth Anniversary of
Aryabhata I, Indian National
Science Academy, New Delhi, Page I, 1976.
2. Ayyangar, A.A.K.: The Mathematics of
Aryabhata Quart.
Journal Myth.
Soc. 16. 192526. 158179
3. Bag. AK.; Aryabhatta
as he was known to later scholars —
Celebrations of the 1500th Birth Anniversary of Aryabhatta
I, Indian National Science Academy, New Delhi. page 21,
1976.
4. Bhanu Murthy, IS: A modern introduction to
Ancient Indian Mathematics, Wiley Eastern Limited, New
Delhi. 1992.
5, Billard, P.: Aryabhatta and Indian Astronomy,
Indian Journals of History of Science, Vol. 12(2), 207224,
1977.
6. Behari. R.: Aryabhatta as a Mathematician, Indian
Journals of History of Science, Vol. 12(2). 147149, 1977.
7. Bhaskara
I: MahaBhaskariya and LaghuBhaskariya Anandashram
Sanskrit Granthawoli,
1945.
8. Boyer, C.B.: A history of mathematics, John Willey
and Sons, New York 1968. 
9. Clark WE.: The Âryabhatiya of Aryabhatta, the
University of Chicago Press, Illinois, 1930.
10. Datta, B.: Two Aryabhatta’s of AlBeruni B.C.M.S.,
17, 5974, 1926.
11. Datta, B.B. and Singh, AN.: History of Hindu
Mathematics—A Source Book Peprinted.
Asia Publishing House, Bombay.
12. Elfering, K.: The area of a
triangle and the volume of a pyramid as well as the area of
a circle and the surface of hemisphere in mathematics of
Aryabhata I, Indian Journals of
History of Science Vol. 12(2), 232236, 1977.
13. Ganguly, SK.: The Aryabhatta’s value of
Ann. Math. 27, 1629, 1920.
14. Ganitanand: A few remarks concerning certain values of
in
ancient India, Ganita Bharati 12,
No. 12, 3339, 1990.
15. Gupta, P.C.: On some mathematical rules from the
Âryabhatiya. Indian Journals of History of Science, Vol.
12(2), 2002%. 1992.
16. Jha, Parmeshwar: Aryabhatta land his contributions
to mathematics. The Bihar Research Society, Patna
(1988).
17, Jha, 5K.; Jha, M.: A study of
the value of known
to ancient Hindu and Jaina mathematicians, J. Bihar Math.
Soc., 13. 3844, 1990.
18. Kaye, G.P.: Two Aryabhatta’s,
B.M., 10, 28992, 1910.
19. Mohan, B.: History of mathematics (In
Hind), Hindi Samiti, UP. Govt.,
Lucknow, 1965.
20. Mule
Gunokar: Great mathematicians of the world Raj
Kamal Publications, New Delhi.
1992.
21. Prakash. S.: Founders of Sciences In ancient India
Research Institute of Ancient Scientific Studies, New
Delhi.
22. Premi. S.: A project Report on history of ancient Indian
mathematics Department of Mathematics,
Meerut University. Meerut.
23. Sengupta, P.C.: The Âryabhatiya (English
version). J. Dept. Letters. Calcutta
University. 16, 1
56. 1927.
24. Sharma, ML. Aryabhatta’s contribution to Indian
astronomy of Indian Journal of History of Science,
Vol 12, 9099. 1977.
25. Shukla KS.: Aryabhatta. Indian National Science
Academy. Bahadur Shah Jafar
Marg, New Delhi.
26. Shukla, KS. and Sarina Ky.:
Âryabhatiya of Aryabhatcz
Indian National Science
Academy.
New Delhi 1976.
27. Singh, AN.: On the Indian method of root
extraclion. B.C.M.S... 18,
123140, 1927.
28. Smith, D.F.: History of Mathematics, Dover
PublicaNons, New Delhi. 1959.
29. Swarup, AK. Bag, and KS. Shukla: Proceeding of the
International Astronomical Union
Collogium
held in New Delhi Cambridge University Press. 1987.
30. Upadhya. B.L.: Ancient Indian Mathematics
Qn Hind).
Vigyan Bharati, New Delhi, 1971.
31, Voladavsky. A.: Mathematical achievements of
Aryabhatta. Indian Journal of History of Science,
Vol. 12(2), 167172. 1977,
32. Vano
Mlchio: Three types of Hindu sine tables; Indian
Journal of History of Science, Vol. 12(2).
8389. 1977.
1. Dixit S B, 1989, Page
number 144145, Bharatiya Jyotisha Shastra (in
Marathi), Varda
Publications, Pune
2. Bhat M R, 1995,
translation of Varhamihira’s Brihat Samhita, Motilal
Banarasidas, for RSB see
XLVII (14)
3. Burgess Rev. Ebenenezer,
translation of Surya Siddhanta, Motilal
Banarasidas, 1860 and 1989
(Sanskrit version published by Chaukhamba
Surabharati Prakashan,
Varanasi)
4. Dvivedi,
Mahamahopadhyaya Pandit Sudhakar, translation of
Mahasiddhanta
by Aryabhatta – 2,
1995, (Chaukhamba Sanskrit Pratishthan, Delhi)
5. Daivajna Shri Ganesh,
GrahaLaghavam, Motilal Banarasidas
6. Colebrooke H T, Essays
on history, literature and religion of Ancient India
7. Shukla Shankar K,
Bhaskara I, Bhaskara I and
his works II. MahaBhaskariya
(Sanskrit)
(Lucknow, 1960)
8. Chaterjee B, 1976,
translation of Khandakhadyaka, Motilal Banarasidas
9. Sarama Ramaswarup, 1966
translation of Bramhasphuta
Siddhanta by
Brahmagupta,
Vol.: I, II, III, IV. Indian Institute
of Astronomical & Sanskrit
Research  New Delhi.
10. Chaterjee B, 1981,
translation of Sisyadhivriddhida tantra by Lalla,
Indian
National Science Academy
11. Marriot C, SkyMap Pro,
version 8.0
12. Harwit M, 1998,
Astrophysical Quantities, Springer
13. Horizons, http://ssd.jpl.nasa.gov/horizons.html
version DE408
14. Chhatre, Kero Laxman,
Grahasadhana Koshtak,
15. Kelley J T, Dickson S
M, Maine's History of Sea Level Changes,
www.state.me.us/doc/nrimc/pubedinf/factsht/marine/sealevel.htm
16. Barnhardt, W. A., W.
R. Gehrels, et al. (1995). "Late Quaternary relative sea
level change in the western Gulf of Maine: Evidence for a
migrating glacial forebulge." Geology
23(4): 317320. See: http://www.gsajournals.org/
17. Jarrige JeanFrancois,
Meadow, R H, 1980, Scientific American, October,
1980 page 102
18. Koenraad Elst, Leuven,
1998, Astronomical data and the Aryan question
(http://pws.theecorp.com/~chbrugmans/articles/astronomy.html)

References on Ancient Indian
astronomy
BIBLIOGRAPHY
Clark, William Eugene, The Àryabhatiya of Àryabhata, An
Ancient Indian Work on Mathematics and Astronomy, The
University of Chicago Press, Chicago, Illinois. 1930.
Kay, G. R., Hindu Astronomy, Ancient Science of the
Hindus, Cosmo Publications, New Dehli. India, 1981.
Pingree, David, Jyotihsastra, Astral and Mathematical
Literature, Otto Harrassowitz, Weisbaden, 1981.
Sastri, Pundit Bapu Deva, and Lancelot Wilkinson, The Surya
Siddhánta, or An Ancient System of Hindu Astronomy, Philo
Press, Amsterdam, 1974.
Sen, S. N., and K. S. Shukla, History of Astronomy in India,
Indian National Science Academy, New Dehli, 1985.
ACKNOWLEDGEMENTS
Since I first published this page several people have offered
advice and encouragement. Some have asked for further
information. In particular I wish to thank Dr. Vijay Bedekar and
David B. Kelley for encouraging further research. This updated
and expanded page has resulted. Thanks to Ramana Bhamidipati for
his input and suggestions.
SOME QUESTIONS:
At
this rewriting, Jan. 1, 2001, I still await some answers to the
questions posed below. This may be indicative of the answers. To
date I have found no indication of older accurate astronomical
constants or published indications of modern writers noticing
the accuracy of the data discovered in the Indian sources.

Do you know of any source previously noticing
and publishing the accuracy of Àryabhata's ratio?

Do you know of any older record reflecting
such an accurate astronomic ratio? From India? In Sanskrit?
From other parts of the world?

Do you know of any astronomic record
reflecting such an accurate astronomic ratio prior to the
last two centuries?

When did modern astronomers first arrive at
an astronomic ratio of comparable accuracy?
Larousse Encyclopedia of astronomy, Prometheus
Press, NY 1959
Amateur Astronomy , NewnessBooks, Middlesex
,UK, 1985
Indian Astronomy a source Book BV Subbarayappa and
KV Sharma Nehru Center, Bombay, 1985
* A
Bibliography of Sanskrit Works in Astronomy and Mathematics
S N Sen with the research assistance of A K Bag and S R Sarma
(1966) 258 pp. A bibliography of source materials indispensable
for the study of history of astronomy and mathematics in ancient
and medieval India.
Rs.20/= US $ 5/=
http://www.insaindia.org/Publication/historypubli.htm



History of
Astronomy in
India
Eds. S N Sen and
K S Shukla
(Second revised
edition 2000)
529pp.
Rs.800/= $.250/=



The Sulbasutras
S N Sen and A K Bag (1983) 293pp. The
Sulbasutras are the manuals for the
construction of altars for
firesacrifices, an ancient cult fully
established in the time of Samhitas. The
origin of mathematics in India lies
embedded in these ancient priestly
practices. The book presents the
critical texts and translation of four
Sulbasutras.
Rs.85/= US $.30/=



Aryabhatiya of Aryabhata (Critically
edited with translation and notes)
K S Shukla and K V Sarma (1976) 219 pp.
The volume forms a critical edition of
aryabhatiya based on original
manuscripts and external testimonials
1976) 219 pp.
Rs.21.50 US $.7/=
 *
Aryabhatiya of Aryabhata (with the
commentary of Suryadeva Yajvan)
Ed. K V Sarma (1976) 200pp. The volume
comprises of critical edition of the
Aryabhatiya with the elucidative
commentary of Suryadeva Yajvan (b.1911)
based on original palm leaf manuscripts.
Rs.25/= US $.8/=

* Aryabhatiya of Aryabhata (with the
commentary of Bhaskara & Somesvara)
Ed. K S Shukla (1976) 382 pp. The volume
sets out the critical text of the
Aryabhatiya with the earliest available
commentary on the work by Bhaskara (
A.D. 629 ) as supplemented by a later
commentrator Somesvara.
Rs.40/= US $.13/=
Vedanga Jyotisa &
Lagadha (in its R K and Yajus
Recensious) (with the
translational notes of Professor
T S Kuppanna Sastry)
Ed. : K V Sarma (1985) 74pp.
Rs.25/= US $.8/=
A Concise
History of Sciences in India
Eds. D M Bose, S N Sen and B V
Subbarayappa (Reprinted 1989)
689pp.
Rs.200/= US $.70/=



Aryabhata. The
Aryabhatiya of Aryabhata  An Ancient Work on Mathematics
and Astronomy. Walter E. Clark, Trans. and Ed.
University of Chicago Press: Chicago, Illinois, 1930.
"Aryabhata I." Biographical Dictionary of Mathematicians:
Reference Biographies from the Dictionary of Scientific
Biography. Vol. 1, (150152). Charles Scribner and Sons:
New York, 1991.
Hayashi, Takao, "Aryabhata's Rule and Table for
SineDifferences," Historia Mathematica, vol. 24
(1997), pp. 396406.
Srinivasiengar, C. N. The History of Ancient Indian
Mathematics. The World Press Private LTD: Calcutta,
1967.
Suzuki, Jeff. A History of Mathematics. Prentice
Hall: New Jersey, 2002.
Watson, Francis. A Concise History of India. Thames
and Hudson: London, 1974.
/Indian national calendar
http://www.geocities.com/dipalsarvesh/aryabhatta.html
http://www.sundial.thaiisanlao.com/banteay_srey.html
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