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The Ganitatilaka and Its Commentary : Two Medieval Sanskrit Mathematical Texts.

Author: Alessandra Petrocchi
Publisher: Milton : Routledge, 2019.
Series: Scientific Writings from the Ancient and Medieval World Ser.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Early works
History
Early works to 1800
Additional Physical Format: Print version:
Petrocchi, Alessandra.
Ganitatilaka and Its Commentary : Two Medieval Sanskrit Mathematical Texts.
Milton : Routledge, ©2019
Named Person: Śrīpati, (Son of Nāgadeva).; Siṃhatilakasūri.
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alessandra Petrocchi
ISBN: 9781351022255 1351022253 9781351022248 1351022245 9781351022231 1351022237 9781351022262 1351022261
OCLC Number: 1090493006
Notes: The type-problem of the visible quantity at both tips (ubhayāgradṛśyajāti) [GT 80]
Description: 1 online resource (453 pages)
Contents: <P><EM>List of tables</EM></P><P><EM>Preface</EM></P><P><EM>List of abbreviations</EM></P><P><EM></EM> </P><B><P></P><P>Part 1: Introduction</P><P></P><P>Chapter 1. Introducing the <I>Gaṇitatilaka </I>and its commentary</P></B><P>1.1 Sanskrit mathematical writings in medieval India </P><P>1.2 Authorship and content of the <I>Gaṇitatilaka</P></I><P>1.3 The <I>Gaṇitatilaka</I>, a work on <I>pāṭīgaṇita</P></I><P>1.4 Siṃhatilakasūri, the commentator of the <I>Gaṇitatilaka</P></I><P>1.5 The genre of mathematical commentaries </P><P>1.6 Aspects of style and language in Siṃhatilakasūri's commentary</P><P>1.7 Reading the <I>Gaṇitatilaka</I> and its commentary</P><P></P><B><P> </P><P>Chapter 2. On the edition of the <I>Gaṇitatilaka </I>and some methodological notes</P></B><P>2.1 The edition </P><P>2.2 The Sanskrit manuscript </P><P>2.3 Linguistic phenomena and oddities: between the manuscript and the edition</P><P>2.4 Lines of transmission and internal evidence</P><P>2.5 Methodological notes: a philological perspective</P><P>2.6 Theory and praxis of textual criticism</P><P>2.7 A new verse numbering system</P><B><P></P><P> </P><P>Part 2: Translation</P></B><P>Some notes on the English translation </P><P>Editorial conventions </P><P><STRONG>Chapter 3. Translation of the Gaṇitatilaka and its commentary</STRONG></P><P>3.1 Homage to the Jina </P><P>3.2 Benedictory verse (maṅgalācaraṇa) [GT 1] </P><P>3.3 Section on technical terms [GT 2-12] </P><P>3.4 Arithmetical operations with integers [GT 13-34] </P><P>3.5 Arithmetical operations with fractions [GT 35-51] </P><P>3.6 Arithmetic of zero [GT 52]</P><P>3.7 Classes of simplification of fractions [GT 53-63] </P><P>3.8 Type- problems of fractions [GT 64-92] </P><P>3.9 Inverse operation [GT 93-94] </P><P>3.10 Rules on proportion [GT 95-117] </P><P>3.11 Rule of five (pañcarāśika) [GT 107-117] </P><P>3.12 Barter (bhāṇḍapratibhāṇḍa) [GT 112-117] </P><P>3.13 The sale of living beings (jīvavikraya) [GT115-117] </P><P>3.14 Practices [GT 118-133] </P><P>3.15 Commission to the moneylender (vyājopajīvivṛtti) [GT 120] </P><P>3.16 Rule on interest [GT 122] </P><P>3.17 Rule on time and double capital [GT 124] </P><P>3.18 Conversion of several bonds into one (ekapatrakaraṇa) [GT 127] </P><P>3.19 Equating instalments of capital (samīkaraṇa) [GT 131] </P><P><STRONG></STRONG> </P><P><B>Part 3: Text analysis </P></B><P><STRONG>Chapter 4. Text analysis</STRONG> </P><P>4.1 Preliminaries </P><P>4.2 Benedictory section (maṅgalācaraṇa) [GT 1] </P><P>4.3 Section on technical terms (paribhāṣā) [GT 2<B>-</B>12] </P><P>4.4 The eight arithmetical operations with integers [GT 13<B>-</B>34] </P><P>4.5 The eight arithmetical operations with fractions [GT 35- 51] </P><P>4.6 Classes of simplification of fractions [GT 53<B>-</B>63] </P><P>4.7 Type- problems of fractions [GT 64<B>-</B>92] </P><P>4.8 Inverse operation [GT 93- 94] </P><P>4.9 Rules on proportion [GT 95<B>-</B>117] </P><P>4.10 The rule of five (pañcarāśika) [GT 107] </P><P>4.11 Barter (bhāṇḍapratibhāṇḍa) [GT 112] </P><P>4.12 The rule regarding the sale of living beings (jīvavikraya) [GT 115] </P><P>4.13 Practices [GT 118<B>-</B>133] </P><P>4.14 Commission to the moneylender (vyājopajīvivṛtti) [GT 120] </P><P>4.15 Rule on interest [GT 122] </P><P>4.16 Rule on time and double capital [GT 124] </P><P>4.17 Conversion of several bonds into one (ekapatrakaraṇa) [GT 127] </P><P>4.18 Equating instalments of capital (samīkaraṇa) [GT 131] </P><P> </P><P><EM>Appendix 1: List of mathematical rules and sample problems sup</EM><EM>plied by the SGT and which are found in other works</EM></P><P><EM>Appendix 2: Rules and sample problems of the GT occurring in other works</EM></P><P><EM>Appendix 3: Glossaries </EM></P><P>3.1 Glossary of mathematical terms (Sanskrit-English) </P><P>3.2 Glossary of mathematical terms (English-Sanskrit) </P><P>3.3 Glossary of measuring units </P><P> </P><P><EM>Bibliography </EM></P><P><EM>Index</EM></P> Cover; Half Title; Series Information; Title Page; Copyright Page; Dedication; Table of contents; Tables; Preface; Abbreviations; Part I Introduction; 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 2 On the edition of the Gaṇitatilaka and some methodological notes2.1 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 II Translation; Some notes on the English translation; Editorial conventions; 3 Translation of the Gaṇitatilaka and its commentary: The Gaṇitatilaka composed by Śrīpati together with the ...; 3.1 Homage to the Jina 3.2 Benedictory verse (maṅgalācaraṇa) [GT 1]3.3 Section on technical terms (paribhāṣā) [GT 2−12]; 3.4 Arithmetical operations with integers [GT 13−34]; Addition (saṅkalita) [GT 13]; Subtraction (vyavakalita) [GT 15]; Multiplication (guṇakāra) [GT 17−18]; Division (bhāgahāra) [GT 21]; Square (varga)[GT 23-24]; Square-root (vargamūla) [GT 26]; Cube (ghana) [GT 28-30]; Cube-root (ghanamūla) [GT 32-33]; 3.5 Arithmetical operations with fractions [GT 35-51]; Addition of fractions (bhinnasaṅkalita) [GT 35]; Subtraction of fractions (bhinnavyavakalita) [GT38] Multiplication of fractions (bhinnapratyutpanna) [GT 40]Division of fractions (bhinnabhāgahāra) [GT 42]; Square of fractions (bhinnavarga) [GT 44]; Square-root of fractions (bhinnavargamūla) [GT 46]; Cube of fractions (bhinnaghana) [GT48]; Cube-root of fractions (bhinnaghanamūla) [GT 50]; 3.6 Arithmetic of zero [GT 52]; The proper form of zero (śunyasvarūpa); 3.7 Classes of simplification of fractions [GT 53-63]; On the simplification of fractions (kalāsavarṇa); The class of simple fractions (bhāgajāti) [GT 53]; The multi-part class (prabhāgajāti)[GT 55] The class of fractional increase (bhāgānubandhajāti) [GT 57]The class of fractional decrease (bhāgāpavāhajāti) [GT 60]; Chain-simplification class (vallīsavarṇanajāti) [GT 62]; 3.8 Type-problems of fractions [GT 64-92]; The visible quantity type-problem (dṛśyajāti) [GT 64]; The remainder type-problem ((śeṣajāti) [GT 67]; The difference type-problem (viśleṣajāti) [GT 70]; The remainder-root type (śeṣamūlajāti) [GT 73]; The type-problem of the fraction [executed] with the root and the visible quantity (mūlāgrabhāgajāti)[GT 76]
Series Title: Scientific Writings from the Ancient and Medieval World Ser.

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Primary Entity

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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 supplied 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

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