Page 5 - Guidelines for Training/ Orientation of Faculty on IKS

9. Bakṣālī Manuscript 17
10. Gaṇitasārasaṅgraha of Mahāvīra 17
11. Development of Combinatorics 18
12. Līlāvatī of Bhāskarācārya 18
13. Bījagaṇita of Bhāskarācārya 18
14. Gaṇitakaumudī of Nārāyaṇa Paṇḍita 19
15. Magic Squares 19
16. Kerala School of Astronomy and Development of Calculus 19
17. Trigonometry and Spherical Trigonometry 20
18. Proofs in Indian Mathematics 20
19. Mathematics in Modern India 20
Suggested References 21
1. BASICS OF INDIAN ASTRONOMY 22
1. Introduction 22
2. The different units of time discussed in the texts 22
3. Systems employed for representing numbers 22
4. Spherical trigonometry 22
5. Celestial Sphere 22
6. What is Pañcāṅga? 23
7. Key concepts pertaining to planetary computations 23
8. Computation of the true longitudes of planets 23
9. Precession of equinoxes – sāyana and nirayaṇa longitude 23
10. Finding the cardinal directions and the latitude of a place 23
11. Determination of the variation of the duration of the day at a given 24
location
12. Lagna and its computation 24
13. Eclipses and their computation 24
Suggested References: 24
I. INTRODUCTION TO INDIAN ASTRONOMY 25
1. Preliminaries 25
2. Developments from the Vedic period up to the Siddhāntic period 25
3. Indian Calendar 25
4. Solar and Lunar Eclipses 25
5. Tripraśna Topics (Diurnal problems) 25
6. Planetary longitudes and latitudes and Nīlakaṇṭha Somayājī’s revised 26
planetary model
7. Rates of motion of planets 26
8. Tripraśna topics 26
9. Rising times of Rāśis and finding Lagna 26
10. Eclipse calculations 26
11. The Vākya system 26
12. Astronomical Instruments 26
13. Indian Astronomy in the 18 and 19 centiries 27
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Suggested References 27

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Guidelines for Incorporating Indian Knowledge in Higher Education Curricula