Research Into Indic Mathematicians

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Pingree claims that the only extant copies of the Paitamaha Siddhanta are those that were incorporated in the Vishnu Dharmottara Purana. Has anybody seen this purana and is it available in printed copy. To whom can the Paitamaha siddhanta be attributed.


The contents of the monograph on the calendar ( Time and the calendar in India 1
A historical perspective ) as presently envisioned include the following


1
Table of Contents 2
Chapter I Introduction 6
The reluctance of Indologists in the occident to acknowledge the vedic episteme 7
Differing standards of Claims for transmission of knowledge 7
Table 1 Cycles of Time in ancient india 9
Indian Cosmology and Timelines OF History 9
the Celestial Sphere 10
Heliocentric vs Geocentric Paradigms 10
Figure 1 The concept of the Celestial sphere 10
Figure 2. The celestial sphere showing the ecliptic, its inclination to the celestial equator and the coordinates right ascenson, declination 11
ecliptic क्रांतिवृत (Kranthivruth) 12
Figure 3. The Ptolemaic Armillary sphere 12
Figure 4 The path the Sun traverses through the CONSTELLATIONS OF the Zodiac 13
The coordinates of the Celestial sphere 13
Figure 5 and 6 The celestial Sphere indicating the Solstices and the Equinoxes 14
equinox वसंत संपत (Vasanth Sampat) Vernal equinox 15
precession of the Equinoxes 15
Table 2 16
Solstice 16
synopsis of equatorial coordinate system 17
Figure 7 Zenith and altitude 17
The Year 18
Table 3 Difference between the Sidereal and Tropical Year 19
Hindu calendar - Year numbering 19
Table 4 SUMMARY of various Measures of a year 20
Table 5 Planetary Revolutions in Mahayuga of 4,320,000 years 20
The Month 21
Table 6 Measures of a month 21
Figure 8. 22
Table 7 The names of the solar months( Sauramaas) are as follows 23
Table 8 Months of the lunisolar calendar 23
The elements of the Panchangam,,, 24
Table 9 The 5 elements of the Panchanga 24
The Tithi 25
Week days ( Vaara) 25
Table 10 Days of the Week 26
Table 11 The Days of of the Indian Lunar Synodic Month 28
The Nakshatra and the key role it plays in Ancient Indian Astronomy 29
Nakshatra and The Precession of the equinoxes 30
Table 12 The Indian Nakshatra 31
Table 13 Values for the Lunar sidereal orbit and the Lunar Synodic orbit 32
Karana 32
Yoga 33
Table 14 Comparison of some astronomical constants 34
How old is the universe, Kalachakra and the Yuga concept, Hindu cosmological time frames 35
Table 15 a day in Brahma’s life of 1 Kalpa 35
Table 16 How old is the universe 36
When and where were the 12 signs of the zodiac first mentioned 37
Figure 8. The shift of the vernal equinox through different Nakshatras over 6 millennia 37

Chapter II History of the Calendar in India 40 undr construction
Appendix A Glossary 41
Appendix C Pictorial Vignettes 68
Appendix D Vedic Epistemology 70
The Vedic Paradigm for the development of Knowledge 70
Appendix e Index of Indic Savants in the computational sciences from antiquity 77
References 80
Appendix f Select Bibliography 81
Abbreviations 84
Primary and other Sources in the Indic Sciences of antiquity 86
Primary Sources 86
Other Sources 89
Bibliography Kosambi’s catalogue of Primary Source Material 99
Kosambi’s Chronological Outline. 103
Sources of Sanskrit Manuscripts In India 105
Appendix G Astronomical Observatories in India 114
Stone Observatories of Jai Singh 114
The old Madras Observatory 114
Calcutta 115
Lucknow 115
Thiruvananthapuram 115
Pune 115
Calcutta 116
Indian Astronomy in the early 20th Century 117
Hyderabad 117
Kodaikanal 118
Hyderabad 119
NainiTal 119
Mount Abu 120
Appendix H Resources for Sanskrit Manuscripts outside India 121
Appendix I proposed Chronology 127

For the small universe of people interested in topics such as these, what would you like to see included in such a book. ( I cannot say i would be able to satisfy every desire ) but i am curious as to what people are curious about