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Ganita-Yukti-Bhasa (Rationales in Mathematical Astronomy) of Jyesthadeva, Vols. 1 and 2

K V Sarma, Hindustan Book Agency, 2008, Culture and History of Mathematics-4, 1084 p, 2 vols, ISBN : 8185931836, $75.00 (Includes free airmail shipping)

Contents: Vol. I. Mathematics: Preface. Introduction. English Translation: 1. The eight mathematical operations. 2. The ten questions and answers. 3. Arithmetics of fractions. 4. Rule of three. 5. Kuttakara. 6. Circle and circumference. 7. Derivation of Sines. Explanatory Notes: Prologue. 1. The eight mathematical operations. 2. The ten questions and answers. 3. Arithmetics of fractions. 4. Rule of three. 5. Kuttakara. 6. Circle and circumference. 7. Derivation of Sines. Epilogue Malayalam Text.

Vol. II. Astronomy: English Translation: 8. Computation of planets. 9. Earth and celestial spheres. 10. The fifteen problems. 11. Gnomonic shadow. 12. Eclipse. 13. Vyatipata. 14. Maudhya and visibility corrections of planets. 15. Elevation of the Moon's Cusps. Explanatory Notes: 8. Computation of planets. 9. Earth and celestial spheres. 10. The fifteen problems. 11. Gnomonic shadow. 12. Eclipse. 13. Vyatipata. 14. Maudhya and visibility corrections to planets. 15. Elevation of the Moon's Cusps. Epilogue. Malayalam text. Appendices. Index.

"Ganita-Yukti-Bhasa (Rationales in Mathematical Astronomy) of Jyesthadeva (c. 1530) is a seminal text of the Kerala School of Astronomy. It is composed in the Malayalam language and presents detailed yuktis or explanations and demonstrations for the results and processes of Mathematical Astronomy. The text comprising fifteen chapters is naturally divided into two parts, Mathematics and Astronomy, and purports to give an exposition of the techniques and theories employed in the computation of planetary motions as set forth in the great treatise Tantrasangraha (c.1500) of Nilakantha Somayaji. Even though the importance of Ganita-yukti-bhasa was brought to the notice of modern scholarship by C.M. Whish in 1830s, a critical edition of the entire Malayalam text is being brought out for the first time along with an English translation and detailed explanatory notes.

The work should be of interest to historians of Mathematics and Astronomy and to philosophers of Science."

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