The continuation of ancient mathematics: Wang Xiaotong's "Jigu suanjing", algebra and geometry in seventh-century China
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English Chinese |
| Veröffentlicht: |
Copenhagen, Denmark
NIAS Press
[2017]
|
| Schriftenreihe: | Nias reports
51 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Enthält den Text des behandelten Werkes "Ji gu suan jing" in chinesischer Schrift und englischer Übersetzung mit wissenschaftlicher Einführung und Kommentar in englischer Sprache Seite xii: "The core of this book is Tina's M.Sc. thesis in Mathematics at het University of Copenhagen, 2006, for which Don was one of the thesis advisers." |
| Beschreibung: | xii, 220 Seiten Illustrationen 27 cm |
| ISBN: | 9788776942175 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804177864669528064 |
|---|---|
| adam_text | Titel: The continuation of ancient mathematics
Autor: Lim, Tina Su Kyn
Jahr: 2017
Contents
Preface xi
Part I: Background
1.1. Wang Xiaotong and his book 3
1.2. Public works planning in ancient China 6
1.3. Mathematics education in Tang China 13
1.4. Mathematical background 21
1.5. Extraction of the roots of cubic equations ( Horner s
method ) 27
1.6. The history of the text of the Jigu suanjing 31
Part II: The mathematics of the Jigu suanjing
2.1. Problems 7, 9, 13, and 14: Truncated square pyramids
and cones 35
2.2. Basic methods 49
2.3. Problems 10-12: Parallelepipeds and cylinders 53
2.4. Problem 8: A wedge 60
2.5. Problems 2 and 6: The Grand Astrologer s platform and ramp,
and a related problem 64
2.6. Problems 3 and 5: Construction of a dyke, and a related
problem 82
2.7. Problem 4: Construction of a dragon tail dyke 97
2.8. Problems 15-20: Right triangles 102
2.9. Pythagorean triples 109
2.10. The traditional Chinese algebra of polynomials 110
Part HI: Chinese text and translation
3.0. Introduction: Wang Xiaotong s presentation of his book
to the Throne 119
3.1. The sun s motion on the ecliptic 122
3.2. The Grand Astrologer s platform and ramp 128
3.3. Construction of a dyke 140
3.4. Construction of a dragon tail dyke 152
3.5. A canal and a canal bank 158
3.6. A rectangular grain cellar 163
3.7. A square granary 168
3.8. A wedge 174
3.9. A circular granary 177
3.10. A square granary and a circular storage pit 181
3.11. Four square granaries and three circular storage pits 185
3.12. Another square granary and circular storage pit 187
THE CONTINUATION OF ANCIENT MATHEMATICS
43. Construction to derive dimensions of right triangles,
Problems 17-18 105
44. Construction to derive dimensions of right triangles,
Problems 19-20 108
45. Text of Zhang Dunren s algebraic derivation of the dimensions
of a right triangle, Problem 17 113
|
| any_adam_object | 1 |
| author | Lim, Tina Su Lyn Wagner, Donald B. 1943- |
| author_GND | (DE-588)1140614320 (DE-588)112873227 |
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| discipline | Allgemeines Mathematik |
| format | Thesis Book |
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| spelling | Lim, Tina Su Lyn Verfasser (DE-588)1140614320 aut (DE-588)1141592266 Ji gu suan jing The continuation of ancient mathematics Wang Xiaotong's "Jigu suanjing", algebra and geometry in seventh-century China Tina Su Lyn Lim, Donald B. Wagner Copenhagen, Denmark NIAS Press [2017] © 2017 xii, 220 Seiten Illustrationen 27 cm txt rdacontent n rdamedia nc rdacarrier Nias reports 51 Enthält den Text des behandelten Werkes "Ji gu suan jing" in chinesischer Schrift und englischer Übersetzung mit wissenschaftlicher Einführung und Kommentar in englischer Sprache Seite xii: "The core of this book is Tina's M.Sc. thesis in Mathematics at het University of Copenhagen, 2006, for which Don was one of the thesis advisers." Diplomarbeit der ersten Verfasserin University of Copenhagen 2006 Teilweise in chinesischer Schrift Wang, Xiaotong ca. 7. Jh. Ji gu suan jing (DE-588)1141592266 gnd rswk-swf Tangdynastie (DE-588)4105770-3 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf China (DE-588)4009937-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Wang, Xiaotong ca. 7. Jh. Ji gu suan jing (DE-588)1141592266 u Tangdynastie (DE-588)4105770-3 s DE-604 China (DE-588)4009937-4 g Algebra (DE-588)4001156-2 s Geometrie (DE-588)4020236-7 s Wagner, Donald B. 1943- Verfasser (DE-588)112873227 aut Kritische Abhandlung über Wang, Xiaotong Ji gu suan jing Nias reports 51 (DE-604)BV014137135 51 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029920706&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lim, Tina Su Lyn Wagner, Donald B. 1943- The continuation of ancient mathematics Wang Xiaotong's "Jigu suanjing", algebra and geometry in seventh-century China Nias reports Wang, Xiaotong ca. 7. Jh. Ji gu suan jing (DE-588)1141592266 gnd Tangdynastie (DE-588)4105770-3 gnd Algebra (DE-588)4001156-2 gnd Geometrie (DE-588)4020236-7 gnd |
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| title | The continuation of ancient mathematics Wang Xiaotong's "Jigu suanjing", algebra and geometry in seventh-century China |
| title_GND | (DE-588)1141592266 |
| title_alt | Ji gu suan jing |
| title_auth | The continuation of ancient mathematics Wang Xiaotong's "Jigu suanjing", algebra and geometry in seventh-century China |
| title_exact_search | The continuation of ancient mathematics Wang Xiaotong's "Jigu suanjing", algebra and geometry in seventh-century China |
| title_full | The continuation of ancient mathematics Wang Xiaotong's "Jigu suanjing", algebra and geometry in seventh-century China Tina Su Lyn Lim, Donald B. Wagner |
| title_fullStr | The continuation of ancient mathematics Wang Xiaotong's "Jigu suanjing", algebra and geometry in seventh-century China Tina Su Lyn Lim, Donald B. Wagner |
| title_full_unstemmed | The continuation of ancient mathematics Wang Xiaotong's "Jigu suanjing", algebra and geometry in seventh-century China Tina Su Lyn Lim, Donald B. Wagner |
| title_short | The continuation of ancient mathematics |
| title_sort | the continuation of ancient mathematics wang xiaotong s jigu suanjing algebra and geometry in seventh century china |
| title_sub | Wang Xiaotong's "Jigu suanjing", algebra and geometry in seventh-century China |
| topic | Wang, Xiaotong ca. 7. Jh. Ji gu suan jing (DE-588)1141592266 gnd Tangdynastie (DE-588)4105770-3 gnd Algebra (DE-588)4001156-2 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Wang, Xiaotong ca. 7. Jh. Ji gu suan jing Tangdynastie Algebra Geometrie China Hochschulschrift |
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