The Ganitatilaka and its commentary : two medieval Sanskrit mathematical texts /: two medieval Sanskrit mathematical texts. (2019)

• Record Type: Book
• Further Information: Note: Alessandra Petrocchi.
• Authors: Petrocchi, Alessandra
• Contents: List of tables Preface List of abbreviations Part 1: Introduction Chapter 1. Introducing the Gaṇitatilaka and its commentary 1.1 Sanskrit mathematical writings in medieval India 1.2 Authorship and content of the Gaṇitatilaka 1.3 The Gaṇitatilaka, a work on pāṭīgaṇita 1.4 Siṃhatilakasūri, the commentator of the Gaṇitatilaka 1.5 The genre of mathematical commentaries 1.6 Aspects of style and language in Siṃhatilakasūri’s commentary 1.7 Reading the Gaṇitatilaka and its commentary Chapter 2. On the edition of the Gaṇitatilaka and some methodological notes 2.1 The edition 2.2 The Sanskrit manuscript 2.3 Linguistic phenomena and oddities: between the manuscript and the edition 2.4 Lines of transmission and internal evidence 2.5 Methodological notes: a philological perspective 2.6 Theory and praxis of textual criticism 2.7 A new verse numbering system Part 2: Translation Some notes on the English translation Editorial conventions Chapter 3. Translation of the Gaṇitatilaka and its commentary 3.1 Homage to the Jina 3.2 Benedictory verse (maṅgalācaraṇa) [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 (pañcarāśika) [GT 107‒117] 3.12 Barter (bhāṇḍapratibhāṇḍa) [GT 112‒117] 3.13 The sale of living beings (jīvavikraya) [GT115‒117] 3.14 Practices [GT 118‒133] 3.15 Commission to the moneylender (vyājopajīvivṛtti) [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 (ekapatrakaraṇa) [GT 127] 3.19 Equating instalments of capital (samīkaraṇa) [GT 131] Part 3: Text analysis Chapter 4. Text analysis 4.1 Preliminaries 4.2 Benedictory section (maṅgalācaraṇa) [GT 1] 4.3 Section on technical terms (paribhāṣā) [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 (pañcarāśika) [GT 107] 4.11 Barter (bhāṇḍapratibhāṇḍa) [GT 112] 4.12 The rule regarding the sale of living beings (jīvavikraya) [GT 115] 4.13 Practices [GT 118‒ 133] 4.14 Commission to the moneylender (vyājopajīvivṛtti) [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 (ekapatrakaraṇa) [GT 127] 4.18 Equating instalments of capital (samīkaraṇa) [GT 131] Appendix 1: List of mathematical rules and sample problems sup plied by the SGT and which are found in other works Appendix 2: Rules and sample problems of the GT occurring in other works Appendix 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
• Edition: 1st
• Publisher Details: London : Routledge
• Publication Date: 2019
• Extent: 1 online resource
• Subjects: 510.954; Mathematics -- India -- History; Mathematics -- India -- Early works to 1800; Mathematics, Medieval; Hindu mathematics
• Languages: English
• ISBNs: 9781351022248; 9781351022255; 9781351022231; 9781351022262
• Related ISBNs: 9781138496217
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.