Tantrasaṅgraha of Nīlakaṇṭha Somayājī

Voorkant
Springer Science & Business Media, 16 jun. 2011 - 598 pagina's

Tantrasangraha, composed by the renowned Kerala astronomer Nīlakantha Somayājī (c.1444-1545 AD) ranks along with Āryabhatīya of Āryabhata and Siddhāntaśiromani of Bhāskarācārya as one of the major works which significantly influenced further work on astronomy in India. One of the distinguishing features is the introduction of a major revision of the traditional Indian planetary model. Nīlakantha arrived at a unified theory of planetary latitudes and a better formulation of the equation of centre for the interior planets (Mercury and Venus) than was previously available.

In preparing the translation and explanatory notes, K. Ramasubramanian and M. S. Sriram have used authentic Sanskrit editions of Tantrasangraha by Surand Kunjan Pillai and K V Sarma. All verses have been translated into English, which have been supplemented with detailed explanations including all necessary mathematical relations, illustrative examples, figures and tables using modern mathematical notation.

 

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Inhoudsopgave

Chapter 1 Mean longitudes of planets
1
Chapter 2 True longitudes of planets
49
Chapter 3 Gnomonic shadow
131
Chapter 4 Lunar eclipse
255
Chapter 5 Solar eclipse
305
Chapter 6 Vyatıpata
357
Chapter 7 Reduction to observation
385
Chapter 8 Elevation of lunar horns
401
Appendix C Coordinate Systems
453
a couple of examples from Yuktibhasa
467
Appendix E Derivation of the maximum declination of the Moon
479
Appendix F The traditional Indian planetary model and its revision by Nılakantha Somayajı 1
487
Glossary
537
Bibliography
563
Index
569
Index of Halfverses
585

Appendix A Representation of numbers
439
Appendix B Spherical trigonometry
447

Overige edities - Alles weergeven

Veelvoorkomende woorden en zinsdelen

Bibliografische gegevens