Gaṇita-yukti-bhāṣā (rationales in mathematical astronomy) of Jyeṣṭhadeva
By: a critical translation of the original Malayalam text by K.V. Sarma ; with explanatory notes by K. Ramasubramanian, M.D. Srinivas, M.S. Sriram.
Contributors: Sarma, K. V. 1919-2005.; Ramasubramanian, K.; Srinivas, M. D.; Sriram, M. S.
Series: Sources and studies in the history of mathematics and physical sciences; Sources and studies in the history of mathematics and physical sciences
Publisher: Springer; Hindustan Book Agency
Published: 2008
Place of publication: [New York]; New Delhi
Language: eng
Number of pages: 1084
ISBN-13: 9781848820722
Subjects: Hindu astronomy -- Early works to 1800; Astronomy -- Mathematics -- Early works to 1800; Hindu mathematics
Genres: Early works to 1800
Other titles: Rationales in mathematical astronomy
Work titles: Gaṇitayuktibhāṣā.
Description: 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. The mathematics part is divided into seven chapters. The topics covered are Parikarma (logistics), Dasaprasna (ten problems), Bhinnaganita (fractions), Trairasika (rule of three), Kuttakara (linear indeterminate equations), Paridhi and Vyasa (infinite series and approximations for the ratio of the circumference and diameter of a circle) and Jyanayana (infinite series and approximations for sines). The astronomy part is divided into eight chapters. The topics covered are Grahagati (computation of mean and true longitudes of planets), Bhugola and Bhagola (Earth and celestial spheres), Pancadasa-prasna (fifteen problems relating to ascension, declination, longitude, etc.), Chaya-ganita (determination of time, place, direction, etc., from gnomonic shadow), Grahana (eclipses), Vyatipata (when the sun and moon have the same declination), Darsana-samskara (visibility correction for planets) and Candra-srngonnati (phases of the moon).--From publisher description
Notes: Includes bibliographical references and indexes.

In Malayalam; translation, explanatory notes and introductory matter in English.
Table of contents: title: v. 1. Mathematics; title: v. 2. Astronomy.