Ganitasarakaumudi

Sarma, Sreeramula Rajeswara [u.a.] (Hrsg.):
Gaṇitasārakaumudī = The Moonlight of the Essence of Mathematics by Ṭhakkura Pherū / ed. with introduction, transl., and mathematical commentary by SaKHYa [= Sreeramula Rajeswara Sarma, Takanori Kusuba, Takao Hayashi, Michio Yano]. - New Delhi : Manohar, 2009. - xlvi, 278 S.
ISBN 978-81-7304-809-8
Rs. 995,00
US$ 21,17 (Eastern Book Corp.)
US$ 43,35 (D.K. Agencies)
US$ 45,00 (K.K. Agencies)
US$ 54,90 (Bagchee)
US$ 55,00 (Vedams Books)
DDC: 510.954

Beschreibung
The Gaṇitasārakaumudī was composed in the early fourteen century at Delhi by the Jain polymath Ṭhakkura Pherū who held a high position at the treasury of Ala al-Din Khalji, and contributed to the popularization of science by producing six treatises in Apabhramsa verse on diverse scientific subjects.
   The Gaṇitasārakaumudī extends the range of mathematics far beyond the traditional framework. The first three chapters are structured like the earlier mathematical texts in Sanskrit and treat traditional topics like fundamental operations, fractions, series, proportion, plane and solid geometry and so on. The remaining two chapters contain supplementary material derived from diverse areas of contemporary life where numbers play a role such as mathematical riddles, conversion of dates from Vikrama era to Hijri era, magic squares, and, most remarkably, average yield per bigha of several kinds of grains and pluses - topics that were not touched upon in any mathematical text before.
   The present volume offers, besides an introduction, a critically emended text, an English translation, and a detailed mathematical commentary where efforts were made to interpret Pherū's formulas and algorithms in modern notation. There are several appendices, including a comprehensive glossary-index.

Inhalt
Preface
I. Introduction
   1. Ṭhakkura Pherū: life and works
   2. Mathematics of the Gaṇitasārakaumudī
II. Text
   Introduction
   1. Prathamo 'dhyāyaḥ
   2. Dvitīyo 'dhyāyaḥ
   3. Tṛtīyo 'dhyāyaḥ
   4. Caturtho 'dhyāyaḥ
   5. Pañcamo 'dhyāyaḥ
   6. Sutrānukramaṇikā
III. English translation
   1. Twenty-five fundamental operations
   2. Eight classes of reduction of fractions
   3. Eight types of procedures
   4. Four special topics
   5. Quintet of topics
   6. List of rules
IV. Mathematical commentary
   1. Twenty-five fundamental operations
   2. Eight classes of reduction of fractions
   3. Eight types of procedures
   4. Four special topics
   5. Quintet of topics
Appendices:
   1. Concordance of the Gaṇitasārakaumudī and other works
   2. The type problems
   3. Index to the numbers in the text
   4. Glossary-index to the text
Bibliography
Indices

Quellen: Manohar; Bagchee; Eastern Book Corp.; K.K. Agencies; D.K. Agencies; Vedams Books.