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The Gaṇitatilaka and its commentary : two Medieval Sanskrit mathematical texts : critically revised with introduction, annotated translation, and explanatory analysis

Author: Alessandra Petrocchi; Śrīpati, (Son of Nāgadeva)
Publisher: Abingdon, Oxon ; New York, NY : Routledge, 2019. ©2019
Series: Scientific writings from the ancient and Medieval world; Scientific writings from the ancient and Medieval world.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"The Gaṇitatilaka and its commentary : two Medieval Sanskrit mathematical texts, presents the first English annotated translation and analysis of the Gaṇitatilaka Sripati and its Sanskrit commentary by the Jaina monk Simhatilakasuri (13th century CE). Simhatilakasuri's commentary upon the Gaṇitatilaka is a key text for the study of Sanskrit mathematical jargon and a precious source of information on mathematical  Read more...
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Genre/Form: Electronic books
Early works
History
Additional Physical Format: Print version:
Petrocchi, Alessandra.
Gaṇitatilaka and its commentary.
Abingdon, Oxon ; New York, NY : Routledge, 2019
(DLC) 2018042798
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alessandra Petrocchi; Śrīpati, (Son of Nāgadeva)
ISBN: 9781351022262 1351022261
OCLC Number: 1057238094
Description: 1 online resource (xii, 437 pages).
Contents: List of tablesPrefaceList of abbreviations Part 1: IntroductionChapter 1. Introducing the Ganitatilaka and its commentary1.1 Sanskrit mathematical writings in medieval India 1.2 Authorship and content of the Ganitatilaka1.3 The Ganitatilaka, a work on patiganita1.4 Simhatilakasuri, the commentator of the Ganitatilaka1.5 The genre of mathematical commentaries 1.6 Aspects of style and language in Simhatilakasuri's commentary1.7 Reading the Ganitatilaka and its commentary Chapter 2. On the edition of the Ganitatilaka and some methodological notes2.1 The edition 2.2 The Sanskrit manuscript 2.3 Linguistic phenomena and oddities: between the manuscript and the edition2.4 Lines of transmission and internal evidence2.5 Methodological notes: a philological perspective2.6 Theory and praxis of textual criticism2.7 A new verse numbering system Part 2: TranslationSome notes on the English translation Editorial conventions Chapter 3. Translation of the Ganitatilaka and its commentary3.1 Homage to the Jina 3.2 Benedictory verse (mangalacarana) [GT 1] 3.3 Section on technical terms [GT 2-12] 3.4 Arithmetical operations with integers [GT 13-34] 3.5 Arithmetical operations with fractions [GT 35-51] 3.6 Arithmetic of zero [GT 52]3.7 Classes of simplification of fractions [GT 53-63] 3.8 Type- problems of fractions [GT 64-92] 3.9 Inverse operation [GT 93-94] 3.10 Rules on proportion [GT 95-117] 3.11 Rule of five (pancarasika) [GT 107-117] 3.12 Barter (bhandapratibhanda) [GT 112-117] 3.13 The sale of living beings (jivavikraya) [GT115-117] 3.14 Practices [GT 118-133] 3.15 Commission to the moneylender (vyajopajivivrtti) [GT 120] 3.16 Rule on interest [GT 122] 3.17 Rule on time and double capital [GT 124] 3.18 Conversion of several bonds into one (ekapatrakarana) [GT 127] 3.19 Equating instalments of capital (samikarana) [GT 131] Part 3: Text analysis Chapter 4. Text analysis 4.1 Preliminaries 4.2 Benedictory section (mangalacarana) [GT 1] 4.3 Section on technical terms (paribhasa) [GT 2-12] 4.4 The eight arithmetical operations with integers [GT 13-34] 4.5 The eight arithmetical operations with fractions [GT 35- 51] 4.6 Classes of simplification of fractions [GT 53-63] 4.7 Type- problems of fractions [GT 64-92] 4.8 Inverse operation [GT 93- 94] 4.9 Rules on proportion [GT 95-117] 4.10 The rule of five (pancarasika) [GT 107] 4.11 Barter (bhandapratibhanda) [GT 112] 4.12 The rule regarding the sale of living beings (jivavikraya) [GT 115] 4.13 Practices [GT 118-133] 4.14 Commission to the moneylender (vyajopajivivrtti) [GT 120] 4.15 Rule on interest [GT 122] 4.16 Rule on time and double capital [GT 124] 4.17 Conversion of several bonds into one (ekapatrakarana) [GT 127] 4.18 Equating instalments of capital (samikarana) [GT 131] Appendix 1: List of mathematical rules and sample problems supplied by the SGT and which are found in other worksAppendix 2: Rules and sample problems of the GT occurring in other worksAppendix 3: Glossaries 3.1 Glossary of mathematical terms (Sanskrit-English) 3.2 Glossary of mathematical terms (English-Sanskrit) 3.3 Glossary of measuring units Bibliography Index
Series Title: Scientific writings from the ancient and Medieval world; Scientific writings from the ancient and Medieval world.
Responsibility: Alessandra Petrocchi.

Abstract:

"The Gaṇitatilaka and its commentary : two Medieval Sanskrit mathematical texts, presents the first English annotated translation and analysis of the Gaṇitatilaka Sripati and its Sanskrit commentary by the Jaina monk Simhatilakasuri (13th century CE). Simhatilakasuri's commentary upon the Gaṇitatilaka is a key text for the study of Sanskrit mathematical jargon and a precious source of information on mathematical practices of Medieval India; this is, in fact, the first known Sanskrit mathematical commentary written by a Jaina monk, upon whom we have substantial information, to survive to the present day. In presenting the first annotated translation of these two Sanskrit mathematical texts, this volume focuses on language in mathematics, and put forward a novel, fresh approach to Sanskrit mathematical literature which favors attention to linguistic, literary features, and textual data. This key resource makes these important texts available in English for the first time for students of ancient and medieval mathematics. This key resource makes these important texts available in English for the first time for students of Sanskrit, medieval mathematics, South Asian history, and philology."--

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