Sanskrit astronomical tables:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cham, Switzerland
Springer
[2018]
|
| Schriftenreihe: | Sources and studies in the history of mathematics and physical sciences
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031551853&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | x, 308 Seiten Illustrationen (teilweise farbig) |
| ISBN: | 9783319970363 |
| ISSN: | 2196-8810 |
Internformat
MARC
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| 650 | 4 | |a Astronomy, Observations and Techniques | |
| 650 | 4 | |a History of South Asia | |
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Datensatz im Suchindex
| _version_ | 1819261693386031104 |
|---|---|
| adam_text | Contents 1 Introduction.................................................................................................... 1.1 Overview of pre-modern astronomy.................................................. 1.1.1 Mesopotamian and Egyptian............................................... 1.1.2 Hellenistic: Greek-primary discourse.................................. 1.1.3 East Asian: Chinese-primary discourse............................... 1.1.4 South Asian: Sanskrit-primary discourse............................ 1.1.5 Islamicate: Arabic-primary discourse.................................. 1.2 Overview of classical Indian mathematical astronomy .................. 1.2.1 Astronomy and mathematics............................................... 1.2.2 The topics of astronomical computation............................. 1.2.3 The pakşas or parameter schools......................................... 1.3 Astrological aspects of jyotisa........................................................... 1.3.1 Divination from omens or samhitā...................................... 1.3.2 Celestial forecasting and horoscopes................................... 1.3.3 Fundamental astrological concepts ..................................... 1.4 Text genres in classical jyotisa........................................................... 1.4.1 The comprehensive treatise or siddhãnta........................... 1.4.2 The astronomical handbook or karana................................ 1.4.3 The annual calendar or pañcañga........................................ 1.4.4 Astrological and miscellaneous
works................................ 1.4.5 The astronomical table text.................................................. 1.5 Tables and Sanskrit astral sciences in the second millennium......... 1.5.1 Origins and development of Sanskrit tables....................... 1.5.2 The influence of Islamic tables............................................ 1.5.3 Concurrent developments in jyotisa..................................... 1 4 4 8 11 13 16 18 19 19 23 24 24 25 25 27 28 29 29 31 32 32 32 34 35 2 Content and classification of table texts .................................................. 2.1 Computing astronomical quantities.................................................... 2.1.1 Mean motions ...................................................................... 2.1.2 True motions: manda longitude/velocity corrections ........ 2.1.3 True motions: sīghra longitude/velocity corrections......... 37 37 37 38 41 vii
Contents viii 2.1.4 Synodic phenomena.............................................................. 2.1.5 Times, ascensions, and shadows .......................................... 2.1.6 Eclipses................................................................................. 2.1.7 The mahãpãtas or luni-solar symmetries............................ 2.1.8 Trigonometry........................................................................ Approximation of numerical values in table entries........................ 2.2.1 Interpolation procedures........................................................ 2.2.2 Precision of data values........................................................ Classification schemata for table texts ............................................. 2.3.1 Classification by table type or pakşa.................................... 2.3.2 Classification by computational structure........................... 43 46 51 54 57 58 59 61 65 66 67 Table-text manuscripts................................................................................ 3.1 Table texts in Sanskrit scientific manuscript collections................... 3.1.1 General surveys in SATIUS and SATE................................ 3.1.2 Smith Indie and Smith Sanskrit Collections, Columbia University............................................................ 3.1.3 Gaekwad Collection, India Office Library........................... 3.1.4 Wellcome Library................................................................. 3.1.5 Chandra Shum Shere Collection, BodleianLibrary............ 3.1.6 Maharaja Man
Singh II Museum, Jaipur............................. 3.1.7 Some miscellaneous collections in north India.................. 3.1.8 Collections in Kerala and Tamil Nadu................................ 3.2 Spatial and graphical characteristics of table-text manuscripts....... 3.2.1 Notation and layout conventions......................................... 3.2.2 Scribal errors, emendations and markup............................. 71 71 73 Elements of table texts................................................................................. 4.1 Mean longitudinal displacement........................................................ 4.2 True longitudes and velocities .......................................................... 4.2.1 Correcting longitude and velocity for manda-inequality... 4.2.2 Correcting longitude and velocity for šīghra-inequality ... 4.2.3 True longitude and velocity inmean-to-true table texts.... 4.2.4 True longitude and velocity in cyclic table texts ................ 4.3 Synodic phenomena of planets.......................................................... 4.4 Terrestrial latitude and longitude....................................................... 4.5 Ascensions and ascendant.................................................................. 4.6 Mean time correction functions......................................................... 4.7 Ecliptic declination............................................................................ 4.8 Tables specific to eclipses.................................................................. 4.8.1 Lunar-nodal
elongation....................................................... 4.8.2 Lunar latitude ...................................................................... 4.8.3 Apparent diameters of sun, moon, and shadow.................. 4.8.4 Duration of eclipse stages .................................................. 4.8.5 Eclipse deflection (valana)................................................. 4.8.6 Lunar parallax...................................................................... 95 95 105 105 109 113 113 116 117 119 131 137 139 140 142 142 144 146 152 2.2 2.3 3 4 74 76 76 77 78 79 81 83 83 87
4.9 4.10 4.11 Lunar latitude..................................................................................... Calenđric tables.................................................................................. Tbz mahãpãtas................................................................................... 4.11.1 Pātasāraņī of Gaņesa.......................................................... Trigonometric functions.................................................................... Astrological tables............................................................................. 156 160 175 175 176 181 5 The evolution of the table-text genre........................................................ 5.1 Rãjamrgmka of Bhojarãja................................................................ 5.2 Grahajmna of Ãáãdhara ................................................................. 5.2.1 Textual algorithms as alternatives to table use..................... 5.2.2 Textual instructions for table use........................................ 5.2.3 Influences and impacts........................................................ 5.3 Brahmatulyasärani and Laghukhecamsiddhi.................................. 5.3.1 The Karaņakutūhala of Bhāskara....................................... 5.3.2 Brahmatulyasärani: Overview........................................... 5.3.3 Laghukhecamsiddhi·. Overview......................................... 5.3.4 Adapting karana algorithms to koşţhaka tables................ 5.4 Mahãdevl of Mahādeva......................................................................
5.4.1 The first “canonical” koşţhaka ........................................... 5.4.2 Laghumahādevī................................................................... 5.4.3 Characteristics of fog/m/condensed versions in general.... 5.5 Makaranda of Makaranda.................................................................. 5.5.1 Sonic noteworthy features of the Makaranda ................... 5.5.2 The Makaranda and the Saurapakşa canon ...................... 5.6 Major works of the Ganesapakşa..................................................... 5.6.1 Grahalãghava/Siddhãntarahasya ofGaņesa..................... 5.6.2 Table texts called Grahalāghavasāriņī.............................. 5.6.3 Tithicintāmaņi and Brhattithicintāmaņi of Ganosa............ 5.7 Jagadbhūsaņa of Haridatta................................................................ 5.8 Summary............................................................................................ 189 189 192 193 196 198 199 199 201 202 203 211 213 215 218 219 220 222 224 225 228 229 235 240 6 Further explorations................................................................................... 6.1 Interactions with other table-text traditions ...................................... 6.1.1 Yantramja of Mahendra: Manual on astrolabes, Delhi, 1370.......................................................................... 6.1.2 Siddhãntasindhu of Nityananda: Translated zlj, Delhi, 1628.......................................................................... 6.1.3 Phirańgicandracchedyopayogika: European lunar theory, Jaipur, 1734
2539628 6.2 Regional, institutional, and intellectual trends in table-text authorship........................................................................................... 6.3 The roles of scribes and users in creating and modifying table texts................................................................... 6.4 Future directions................................................................................ 243 243 4.12 4.13 244 245 248 250 251 255
x Contents Appendices A Inventory of Sanskrit table texts................................................................. 261 В Classification schemata and parameters................................................... 271 B.l Astronomical and calendric name-lists.............................................. 271 B.2 Parameter sets of the passai ................................................................. 276 C D Sanskrit technical terms............................................................................... C.l The Sanskrit alphabet............................................................................. C.2 Technical vocabulary for tables........................................................... C.2.1 Names for table-text compositions....................................... C.3 Glossary of Sanskrit terms................................................................... 279 279 279 279 282 Credits and Acknowledgements.................................................................. 295 Bibliography 299
|
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| author | Montelle, Clemency Plofker, Kim 1964- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
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| dewey-search | 510.9 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| era | Geschichte gnd |
| era_facet | Geschichte |
| format | Book |
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| id | DE-604.BV046172121 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T18:45:03Z |
| institution | BVB |
| isbn | 9783319970363 |
| issn | 2196-8810 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031551853 |
| oclc_num | 1124781879 |
| open_access_boolean | |
| owner | DE-11 DE-355 DE-BY-UBR |
| owner_facet | DE-11 DE-355 DE-BY-UBR |
| physical | x, 308 Seiten Illustrationen (teilweise farbig) |
| psigel | gbd_0 |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | Springer |
| record_format | marc |
| series2 | Sources and studies in the history of mathematics and physical sciences |
| spellingShingle | Montelle, Clemency Plofker, Kim 1964- Sanskrit astronomical tables History of Mathematical Sciences Astronomy, Observations and Techniques History of South Asia Asia-History Astronomie (DE-588)4003311-9 gnd Mathematik (DE-588)4037944-9 gnd Sanskrit (DE-588)4051642-8 gnd |
| subject_GND | (DE-588)4003311-9 (DE-588)4037944-9 (DE-588)4051642-8 |
| title | Sanskrit astronomical tables |
| title_auth | Sanskrit astronomical tables |
| title_exact_search | Sanskrit astronomical tables |
| title_full | Sanskrit astronomical tables Clemency Montelle, Kim Plofker |
| title_fullStr | Sanskrit astronomical tables Clemency Montelle, Kim Plofker |
| title_full_unstemmed | Sanskrit astronomical tables Clemency Montelle, Kim Plofker |
| title_short | Sanskrit astronomical tables |
| title_sort | sanskrit astronomical tables |
| topic | History of Mathematical Sciences Astronomy, Observations and Techniques History of South Asia Asia-History Astronomie (DE-588)4003311-9 gnd Mathematik (DE-588)4037944-9 gnd Sanskrit (DE-588)4051642-8 gnd |
| topic_facet | History of Mathematical Sciences Astronomy, Observations and Techniques History of South Asia Asia-History Astronomie Mathematik Sanskrit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031551853&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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