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Sanskrit Astronomical Table Text Brahmatulyasra: Numerical tables in textual scholarship [Kietas viršelis]

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  • Formatas: Hardback, 230 pages, aukštis x plotis: 235x155 mm, weight: 524 g
  • Serija: Time, Astronomy, and Calendars 9
  • Išleidimo metai: 05-Nov-2020
  • Leidėjas: Brill
  • ISBN-10: 9004431411
  • ISBN-13: 9789004431416
Kitos knygos pagal šią temą:
Sanskrit Astronomical Table Text Brahmatulyasra: Numerical tables in textual scholarshipDidesnis paveikslėlis
  • Formatas: Hardback, 230 pages, aukštis x plotis: 235x155 mm, weight: 524 g
  • Serija: Time, Astronomy, and Calendars 9
  • Išleidimo metai: 05-Nov-2020
  • Leidėjas: Brill
  • ISBN-10: 9004431411
  • ISBN-13: 9789004431416
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9789004431416.html
The 17th-century Brahmatulyasra is a rich repository of information about Indian mathematical astronomy and its genres of scientific writing in Sanskrit. This painstaking critical edition, translation, and technical analysis of the work includes detailed technical background about its content and relation to the seminal 12th-century astronomical handbook Karaakuthala. This book explores important contextual information about the role and study of numerical tables in pre-modern astronomy, as well as the many challenges arising from critically editing numerical data in the Indian astral sciences.
1 Introduction
1(8)
1.1 Critical Editing and Numerical Tables
2(2)
1.2 Textual Scholarship Applied to Table Texts: The State of the Field
4(3)
1.2.1 Akkadian
4(1)
1.2.2 Greek
4(1)
1.2.3 Chinese
5(1)
1.2.4 Arabic/Persian
6(1)
1.2.5 Latin
6(1)
1.2.6 Sanskrit
6(1)
1.3 Critical Editing and the Sanskrit Text Corpus
7(2)
2 Overview of the Brahmatulyasdrani and Its Manuscripts
9(10)
2.1 The Brahmatulyasdrani: Background and Approach
9(1)
2.2 Manuscript Witnesses to the Brahmatulyasdrani
10(6)
2.3 Colophon and Post-colophon Material from the Manuscripts
16(3)
3 Technical Analysis of the Brahmatulyasdrani
19(26)
3.1 Overview of the Brahmatulyasdrani and Its Tables
19(3)
3.2 Accumulated Civil Days (ahargana) since Epoch; Mean Longitudes
22(5)
3.2.1 Computation of the ahargana or Time since Epoch
22(2)
3.2.2 Planetary Epoch Mean Longitudes and Mean Longitude Increments since Epoch
24(3)
3.3 Local and Secular Adjustments to Mean Longitudes
27(5)
3.3.1 The Longitudinal-Difference Correction or desantara
29(1)
3.3.2 The Annual Correction or abdablja
30(1)
3.3.3 The ramabija Corrections
30(2)
3.3.4 The desantara and ramabija Corrections and Apogee Longitudes in MS Kh
32(1)
3.4 Computation and Application of the manda-Equation to Mean Longitude and Velocity for the Seven Planets
32(4)
3.5 Computation and Application of the sighra-Equation for the Five Planets; Completion of True Longitude and Velocity Corrections
36(7)
3.5.1 The Slghra-Correction to manda-Corrected Longitude; Iteration of Corrections
36(2)
3.5.2 Using the sighra-Equation Tables to Correct Planetary Velocity; Iteration of Corrections
38(4)
3.5.3 Using the sighra-anomaly of Mars to Correct Its manda-Apogee
42(1)
3.6 Corrections due to the Sun's Position
43(2)
3.6.1 Rising-Difference or udayantara Corrections for the Sun and Moon
43(1)
3.6.2 Solar Declination
44(1)
4 Variation in Manuscripts of Brahmatulyasdrani Tables
45(18)
4.1 Tables and Their Organisation
45(5)
4.1.1 Elements of the Table Set
45(1)
4.1.2 Ordering of the Table Set
46(1)
4.1.3 Inclusion in the Table Set of Tables from Other Works
46(1)
4.1.4 Combining Individual Tables
46(2)
4.1.5 Incomplete Tables
48(1)
4.1.6 Inclusion or Omission of Secondary Tabulated Functions
48(1)
4.1.7 Additional or Omitted Table Entries
49(1)
4.1.8 Modified Epoch Offsets
49(1)
4.1.9 Numerical Values of Table Entries
49(1)
4.1.10 Precision of Table Entries
50(1)
4.2 Paratext
50(4)
4.2.1 Table Headings/Titles
50(2)
4.2.2 Row Headers
52(1)
4.2.3 Column Headers
52(1)
4.2.4 Table Colophons
52(1)
4.2.5 Abbreviations/Morphology
53(1)
4.2.6 Notes and Annotations
54(1)
4.2.7 Foliation and Running Titles
54(1)
4.2.8 Language
54(1)
4.3 Layout
54(6)
4.3.1 Page Orientation
54(2)
4.3.2 Breaking and Wrapping Long Tables
56(1)
4.3.3 Combining Tables in the Same Table Grid
57(1)
4.3.4 Construction of Table Grids
58(1)
4.3.5 Decorative Elements
59(1)
4.4 Representation of Numerical Data
60(3)
4.4.1 Null Values
60(1)
4.4.2 Leading Zeros
60(1)
4.4.3 Algebraic Sign Markers
60(1)
4.4.4 Omitting Repeated Digits
61(1)
4.4.5 Numeral Forms
61(2)
5 Framework and Features of the Critical Edition
63(6)
5.1 Typographic Conventions
63(1)
5.2 Editing Problems and Editorial Choices for the Tables
64(1)
5.2.1 Location Identification within a Table
64(1)
5.2.2 Separate and Combined Versions of a Table
64(1)
5.2.3 Other Editorial Conventions
65(1)
5.3 Intrinsic Structure of the Edited Tables
65(4)
6 Critical Edition of Versified Text and Tables
69(98)
6.1 Critical Edition of the Verses
69(3)
6.2 Critical Edition of the Tables
72(95)
7 Appendix: Sanskrit Astronomy and the Karanakutuhala
167(53)
References 220(6)
Index of Names and Subjects 226
Anuj Misra, Ph.D. (2016), University of Canterbury, is a Marie Skodowska-Curie fellow at the University of Copenhagen. His research focuses on medieval and early-modern exchanges in Sanskrit astral sciences and has contributed articles and book-chapters examining Islamicate influences in Sanskrit astronomy.

Clemency Montelle, Ph.D. (2005), Brown University, Professor in the School of Mathematics and Statistics, University of Canterbury, New Zealand, has research interests in the mathematical history of early cultures of inquiry and has contributed books and articles on the subject.

Kim Plofker, Ph.D. (1995), Brown University, is Associate Professor of Mathematics at Union College, NY. Her research on Indian science and its Islamic and European counterparts includes Mathematics in India (Princeton, 2009) and Sanskrit Astronomical Tables (with Clemency Montelle; Springer, 2018).