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Other titles in the Sources and Studies in the History of Mathematics and Physic series:

Ganita-Yukti-Bhasa (Rationales in Mathematical Astronomy) of Jyesthadeva: Volume I: Mathematics Volume II: Astronomy (Sources and Studies in the History of Mathematics and Physic)

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Ganita-Yukti-Bhasa (Rationales in Mathematical Astronomy) of Jyesthadeva: Volume I: Mathematics Volume II: Astronomy (Sources and Studies in the History of Mathematics and Physic) Cover

 

Synopses & Reviews

Publisher Comments:

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 attention of modern scholarship by C.M Whish in the 1830s, a critical edition of the entire Malayalam text is published here for the first time along with an English translation and detailed explanatory notes. 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). A distinguishing feature of the work is that it presents detailed demonstrations of the famous results attributed to Madhava (c.1340-1420), such as infinite series for p, the arc-tangent and the sine functions, and the estimation of correction terms and their use in the generation of faster convergent series. Demonstrations are also presented for some of the classical results of Aryabhata (c.499) on Kuttakara or the process of solution of linear indeterminate equations, of Brahmagupta (c.628) on the diagonals and the area of a cyclic quadrilateral, and of Bhaskara (c.1150) on the surface area and volume of a sphere. 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). A distinguishing feature of this work is that it gives a detailed exposition of the revised planetary model proposed by Nilakantha which, for the first time in the history of astronomy, gives the correct formulation of the equation of centre and the latitudinal motion of the interior planets, Mercury and Venus. Another unique feature of Ganita-yukti-bhasa is that it presents systematic derivations of most of the results of spherical astronomy (pertaining to diurnal and shadow problems, parallax, eclipses, and so on) that are discussed in Indian astronomy. The work will be of interest to historians of mathematics and astronomy and to philosophers of science.

Synopsis:

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 attention of modern scholarship by C.M Whish in the 1830s, a critical edition of the entire Malayalam text is published here for the first time along with an English translation and detailed explanatory notes.

Table of Contents

Volume I: The Eight Mathematical Operations; The Ten Questions and Answers; Arithmetics of Fractions; Rule of Three; Kuttakara; Circle and Circumference; Derivation of Sines. Volume II: Computation of True Planets; Earth and Celestial Spheres; The Fifteen Problems; Gnomonic Shadow; Eclipse; Vyatipata; Maudhya and Visibility Corrections of Planets.

Product Details

ISBN:
9781848820722
Author:
Sarma, K. V.
Publisher:
Springer
With:
Sriram, M. S.
With:
Ramasubramanian, K.
With:
Srinivas, M. D.
Author:
Ramasubramanian, K.
Author:
Srinivas, M. D.
Author:
Sriram, M. S.
Location:
London
Subject:
History -- Philosophy.
Subject:
Astronomy - General
Subject:
Astronomy -- Mathematics.
Subject:
Hindu astronomy.
Subject:
History
Subject:
history of astronomy
Subject:
History of Mathematics
Subject:
Kerala School
Subject:
Yukti-Bhasa
Subject:
History of Mathematical Sciences
Subject:
Astronomy, Observations and Techniques
Subject:
Mathematics -- History.
Subject:
Histo
Subject:
ry of Mathematical Sciences
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Copyright:
Edition Description:
2008
Series:
Sources and Studies in the History of Mathematics and Physical Sciences
Series Volume:
Volume I: Mathematic
Publication Date:
20090227
Binding:
HARDCOVER
Language:
English
Pages:
1152
Dimensions:
235 x 155 mm

Related Subjects


Science and Mathematics » Astronomy » General
Science and Mathematics » Electricity » General Electronics
Science and Mathematics » Mathematics » History

Ganita-Yukti-Bhasa (Rationales in Mathematical Astronomy) of Jyesthadeva: Volume I: Mathematics Volume II: Astronomy (Sources and Studies in the History of Mathematics and Physic) New Hardcover
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$229.00 In Stock
Product details 1152 pages Springer - English 9781848820722 Reviews:
"Synopsis" by , 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 attention of modern scholarship by C.M Whish in the 1830s, a critical edition of the entire Malayalam text is published here for the first time along with an English translation and detailed explanatory notes.
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