The empty and the full: Li Ye and the way of mathematics : geometrical procedures by section of areas
"During Song (960 to 1279) and Yuan (1279 to 1368) dynasties, China experienced a peak in high-level algebraic investigation through the works of famous mathematicians such as Qin Jiushao, Zhu Shijie, Yang Hui and Li Ye. Among these is Li Ye's short treatise on a curious ancient geometrica...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
[2020]
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "During Song (960 to 1279) and Yuan (1279 to 1368) dynasties, China experienced a peak in high-level algebraic investigation through the works of famous mathematicians such as Qin Jiushao, Zhu Shijie, Yang Hui and Li Ye. Among these is Li Ye's short treatise on a curious ancient geometrical procedure: The Development of Pieces of Areas According to the Collection Augmenting the Ancient Knowledge (Yigu yanduan). The aim of this monography is to contradict traditional scholarship which has long discredited the importance of Li Ye's treatise, considering it a mere popular handbook. The author aims to show that Li Ye's work actually epitomizes a completely new aspect of ancient Chinese mathematics: a crossroad between algebra, geometry, and combinatorics containing elements reminiscent of the Book of Changes (Yi Jing). As well as Li Ye used field measurement as pretext for investigations on quadratic equations and Changes, the present study uses Li Ye's small treatise as pretext for philosophical investigations on link between mathematics and their history. The real topic of the study is the exploration of another expression of proof and generality in Chinese mathematics. This book not only completes the edition of Li Ye's works and presents new features of Chinese mathematics, but also fills a gap in the translation of Chinese mathematics treatises. It is the first book entirely dedicated to the diagrammatic practice of algebra in the history of Chinese mathematics. This practice is more important than expected. While being a monograph, the book is short and detailed enough to be used by students in class. It can also be used as an entry door to the research field of history of Chinese mathematics"--Publisher's website |
| Beschreibung: | 1 Online-Ressource (xix, 254 Seiten) |
| ISBN: | 9789811209482 9811209480 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Electronic eBook |
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| index_date | 2024-07-03T16:30:24Z |
| indexdate | 2024-07-10T09:03:18Z |
| institution | BVB |
| isbn | 9789811209482 9811209480 |
| language | English |
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| spelling | Pollet, Charlotte-V. Verfasser aut The empty and the full Li Ye and the way of mathematics : geometrical procedures by section of areas by Charlotte-V Pollet Singapore World Scientific [2020] 1 Online-Ressource (xix, 254 Seiten) txt rdacontent c rdamedia cr rdacarrier "During Song (960 to 1279) and Yuan (1279 to 1368) dynasties, China experienced a peak in high-level algebraic investigation through the works of famous mathematicians such as Qin Jiushao, Zhu Shijie, Yang Hui and Li Ye. Among these is Li Ye's short treatise on a curious ancient geometrical procedure: The Development of Pieces of Areas According to the Collection Augmenting the Ancient Knowledge (Yigu yanduan). The aim of this monography is to contradict traditional scholarship which has long discredited the importance of Li Ye's treatise, considering it a mere popular handbook. The author aims to show that Li Ye's work actually epitomizes a completely new aspect of ancient Chinese mathematics: a crossroad between algebra, geometry, and combinatorics containing elements reminiscent of the Book of Changes (Yi Jing). As well as Li Ye used field measurement as pretext for investigations on quadratic equations and Changes, the present study uses Li Ye's small treatise as pretext for philosophical investigations on link between mathematics and their history. The real topic of the study is the exploration of another expression of proof and generality in Chinese mathematics. This book not only completes the edition of Li Ye's works and presents new features of Chinese mathematics, but also fills a gap in the translation of Chinese mathematics treatises. It is the first book entirely dedicated to the diagrammatic practice of algebra in the history of Chinese mathematics. This practice is more important than expected. While being a monograph, the book is short and detailed enough to be used by students in class. It can also be used as an entry door to the research field of history of Chinese mathematics"--Publisher's website Li, Ye / 1192-1279 Circle / Early works to 1800 Geometry / Early works to 1800 Trigonometry / Early works to 1800 Mathematics, Chinese https://www.worldscientific.com/worldscibooks/10.1142/11531#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Pollet, Charlotte-V The empty and the full Li Ye and the way of mathematics : geometrical procedures by section of areas Li, Ye / 1192-1279 Circle / Early works to 1800 Geometry / Early works to 1800 Trigonometry / Early works to 1800 Mathematics, Chinese |
| title | The empty and the full Li Ye and the way of mathematics : geometrical procedures by section of areas |
| title_auth | The empty and the full Li Ye and the way of mathematics : geometrical procedures by section of areas |
| title_exact_search | The empty and the full Li Ye and the way of mathematics : geometrical procedures by section of areas |
| title_exact_search_txtP | The empty and the full Li Ye and the way of mathematics : geometrical procedures by section of areas |
| title_full | The empty and the full Li Ye and the way of mathematics : geometrical procedures by section of areas by Charlotte-V Pollet |
| title_fullStr | The empty and the full Li Ye and the way of mathematics : geometrical procedures by section of areas by Charlotte-V Pollet |
| title_full_unstemmed | The empty and the full Li Ye and the way of mathematics : geometrical procedures by section of areas by Charlotte-V Pollet |
| title_short | The empty and the full |
| title_sort | the empty and the full li ye and the way of mathematics geometrical procedures by section of areas |
| title_sub | Li Ye and the way of mathematics : geometrical procedures by section of areas |
| topic | Li, Ye / 1192-1279 Circle / Early works to 1800 Geometry / Early works to 1800 Trigonometry / Early works to 1800 Mathematics, Chinese |
| topic_facet | Li, Ye / 1192-1279 Circle / Early works to 1800 Geometry / Early works to 1800 Trigonometry / Early works to 1800 Mathematics, Chinese |
| url | https://www.worldscientific.com/worldscibooks/10.1142/11531#t=toc |
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