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The Mathematical Treatise in Nine Sections (simplified Chinese: 数书九章; traditional Chinese: 數書九章; pinyin: Shùshū Jiǔzhāng; Wade–Giles: Shushu Chiuchang) is a mathematical text written by Chinese Southern Song dynasty mathematician Qin Jiushao in the year 1247. The mathematical text has a wide range of topics and is taken from all aspects of the society of that time, including agriculture, astronomy, water conservancy, urban layout, construction engineering, surveying, taxation, armament, military and so on. This book contains nine chapters:

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  • The Mathematical Treatise in Nine Sections (simplified Chinese: 数书九章; traditional Chinese: 數書九章; pinyin: Shùshū Jiǔzhāng; Wade–Giles: Shushu Chiuchang) is a mathematical text written by Chinese Southern Song dynasty mathematician Qin Jiushao in the year 1247. The mathematical text has a wide range of topics and is taken from all aspects of the society of that time, including agriculture, astronomy, water conservancy, urban layout, construction engineering, surveying, taxation, armament, military and so on. This book contains nine chapters: 1. * Da Yan type (Indeterminate equations); 2. * Heaven phenomena 3. * Area of land and field 4. * Surveying 5. * Taxation 6. * Storage of grains 7. * Building construction 8. * Military matters 9. * Price and interest. Each chapter contains nine problems, a total of 81 problems.Apart from describing Chinese Remainder Theorem for the first time and providing a constructive proof for it, the text investigated: * Indeterminate equations * "Linglong method" (玲瓏開方; línglóng kāifāng, roughly "method of harmoniously alternating evolution") for numerical solution of algebraic equations, 570 years before Horner's method * Areas and volumes of geometric objects and * Linear system Like many traditional Chinese mathematical works, the text reflects a Confucian administrator's concern with more practical mathematical problems, like calendrical, mensural, and fiscal problems. The text existed in manuscript form in 1247, it was incorporated into The Yongle Encyclopedia in 1421; in 1787 the book was collected into Siku Quanshu, in 1842 appeared in woodblock printed edition. The 19th century British Protestant Christian missionary Alexander Wylie in his article Jottings on the Sciences of Chinese Mathematics published in North China Herald 1852, was the first person to introduce Mathematical Treatise in Nine Sections to the West. In 1971 Belgian sinologist Ulrich Libbrecht published his doctorate dissertation, Chinese Mathematics in the Thirteenth Century, which earned him a degree cum laude at Leiden University. (en)
  • Le Traité mathématique en neuf sections ou Traité mathématique en neuf chapitres (chinois simplifié : 数书九章 ; chinois traditionnel : 數書九章 ; pinyin : Shùshū Jiǔzhāng ; Wade : Shushu Chiuchang) est un texte mathématique écrit par le mathématicien chinois de la Dynastie Song Qin Jiushao en 1247, inspiré de l'ouvrage Les Neuf Chapitres sur l'art mathématique. (fr)
  • Risalah Matematika dalam Sembilan Bab (Hanzi sederhana: 数书九章; Hanzi tradisional: 數書九章; Pinyin: Shùshū Jiǔzhāng; Wade–Giles: Shushu Chiuchang) adalah kitab matematika yang ditulis seorang ahli matematika Qin Jiushao pada tahun 1247 di masa Dinasti Song Selatan, Tiongkok Kitab ini terdiri dari sembilan bab: 1. * Model Da Yan; 2. * Fenomena surgawi 3. * Area Tanah dan ladang 4. * Ilmu ukur wilayah 5. * Pajak 6. * Penyimpanan biji-bijian 7. * Konstruksi bangunan 8. * Masalah militer 9. * Harga dan Suku bunga Setiap bab berisi sembilan masalah, total 81 masalah.Selain menggambarkan Teorema sisa Tiongkok yang untuk pertama kalinya memberikan tentang hal tersebut, kitab ini menyelidiki: * * "Metode Lin Long" untuk solusi numerik persamaan aljabar, 570 tahun sebelum metode Horner * Area dari bentuk geometris dan * Sistem persamaan linear (in)
  • De wiskundige verhandeling in negen secties (Vereenvoudigd: 數書九章, Traditioneel: 数书九章, Pinyin: Shùshū Jiǔzhāng, Wade-Giles: Shushu Chiuchang) is een wiskundige tekst die in het jaar 1247 tijdens de Chinese Zuidelijke Song-dynastie is geschreven door de wiskundige Qin Jiushao. Het boek bestaat uit negen hoofdstukken: 1. * Da Yan type (onbepaalde vergelijkingen); 2. * Hemelse fenomenen 3. * Oppervlakte van land en velden 4. * Landmeting 5. * Belasting 6. * Opslag van granen 7. * Bouwen van huizen 8. * Militaire zaken 9. * Prijs en Rente. Elk hoofdstuk bevat negen problemen, een totaal van 81 problemen.Behalve de allereerste beschrijving van de Chinese reststelling en het voorzien in een constructief bewijs voor deze stelling, onderzoekt de verhandeling ook: * Onbepaalde vergelijkingen * De "Lin Long methode", 570 jaar voor de methode van Horner; * Oppervlakten van en * Lineaire simultane vergelijkingen Zoals veel traditionele Chinese wiskundige werken, weerspiegelt de tekst de interesse van een Confuciaanse ambtenaar met de meer praktische wiskundige problemen, zoals kalendrische, mensurale en fiscale problemen. De tekst bestond in 1247 in manuscript-vorm; de verhandeling werd in 1421 opgenomen in de ; in 1787 werd het boek verzameld in Siku Quanshu, in 1842 verscheen er een in blokdruk gedrukte uitgave. De 19e-eeuwse Britse protestantse Christelijke missionaris was in zijn artikel Jottings on the Sciences of Chinese Mathematics (Gedachten over de wetenschappen van de Chinese wiskunde), gepubliceerd in de North China Herald, 1852, de eerste persoon die de Wiskundige verhandeling in negen secties in het Westen introduceerde. De Belgische sinoloog Ulrich Libbrecht publiceerde in 1971 zijn doctoraal proefschrift, Chinese wiskunde in de dertiende eeuw, wat hem een cum laude graad aan de Universiteit van Leiden opleverde. (nl)
  • 『数書九章』(すうしょきゅうしょう)は、南宋の数学者の秦九韶が1247年に著した数学書。全18巻。 (ja)
  • O Tratado de Matemática em Nove Seções (chinês tradicional: 數書九章, chinês simplificado: 数书九章, pinyin: Shùshū Jiǔzhāng, Wade-Giles: Shushu Chiuchang) é um texto matemático escrito pelo matemático Qin Jiushao da dinastia Song do Sul da China. ano de 1247. O texto existia em forma de manuscrito em 1247, foi incorporado à em 1421; em 1787 o livro foi coletado em , em 1842 apareceu em edição impressa em xilogravura. (pt)
  • 《数书九章》又名《數學九章》,共18卷,南宋数学家秦九韶著于淳祐七年(1247年)。 (zh)
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  • Shùshū Jiǔzhāng (en)
  • línglóng kāifāng (en)
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  • 数书九章 (en)
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  • 數書九章 (en)
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  • Le Traité mathématique en neuf sections ou Traité mathématique en neuf chapitres (chinois simplifié : 数书九章 ; chinois traditionnel : 數書九章 ; pinyin : Shùshū Jiǔzhāng ; Wade : Shushu Chiuchang) est un texte mathématique écrit par le mathématicien chinois de la Dynastie Song Qin Jiushao en 1247, inspiré de l'ouvrage Les Neuf Chapitres sur l'art mathématique. (fr)
  • 『数書九章』(すうしょきゅうしょう)は、南宋の数学者の秦九韶が1247年に著した数学書。全18巻。 (ja)
  • O Tratado de Matemática em Nove Seções (chinês tradicional: 數書九章, chinês simplificado: 数书九章, pinyin: Shùshū Jiǔzhāng, Wade-Giles: Shushu Chiuchang) é um texto matemático escrito pelo matemático Qin Jiushao da dinastia Song do Sul da China. ano de 1247. O texto existia em forma de manuscrito em 1247, foi incorporado à em 1421; em 1787 o livro foi coletado em , em 1842 apareceu em edição impressa em xilogravura. (pt)
  • 《数书九章》又名《數學九章》,共18卷,南宋数学家秦九韶著于淳祐七年(1247年)。 (zh)
  • The Mathematical Treatise in Nine Sections (simplified Chinese: 数书九章; traditional Chinese: 數書九章; pinyin: Shùshū Jiǔzhāng; Wade–Giles: Shushu Chiuchang) is a mathematical text written by Chinese Southern Song dynasty mathematician Qin Jiushao in the year 1247. The mathematical text has a wide range of topics and is taken from all aspects of the society of that time, including agriculture, astronomy, water conservancy, urban layout, construction engineering, surveying, taxation, armament, military and so on. This book contains nine chapters: (en)
  • Risalah Matematika dalam Sembilan Bab (Hanzi sederhana: 数书九章; Hanzi tradisional: 數書九章; Pinyin: Shùshū Jiǔzhāng; Wade–Giles: Shushu Chiuchang) adalah kitab matematika yang ditulis seorang ahli matematika Qin Jiushao pada tahun 1247 di masa Dinasti Song Selatan, Tiongkok Kitab ini terdiri dari sembilan bab: 1. * Model Da Yan; 2. * Fenomena surgawi 3. * Area Tanah dan ladang 4. * Ilmu ukur wilayah 5. * Pajak 6. * Penyimpanan biji-bijian 7. * Konstruksi bangunan 8. * Masalah militer 9. * Harga dan Suku bunga (in)
  • De wiskundige verhandeling in negen secties (Vereenvoudigd: 數書九章, Traditioneel: 数书九章, Pinyin: Shùshū Jiǔzhāng, Wade-Giles: Shushu Chiuchang) is een wiskundige tekst die in het jaar 1247 tijdens de Chinese Zuidelijke Song-dynastie is geschreven door de wiskundige Qin Jiushao. Het boek bestaat uit negen hoofdstukken: 1. * Da Yan type (onbepaalde vergelijkingen); 2. * Hemelse fenomenen 3. * Oppervlakte van land en velden 4. * Landmeting 5. * Belasting 6. * Opslag van granen 7. * Bouwen van huizen 8. * Militaire zaken 9. * Prijs en Rente. (nl)
rdfs:label
  • Risalah Matematika dalam Sembilan Bab (in)
  • Traité mathématique en neuf sections (fr)
  • Mathematical Treatise in Nine Sections (en)
  • 数書九章 (ja)
  • Wiskundige verhandeling in negen secties (nl)
  • Tratado Matemático em Nove Seções (pt)
  • 数书九章 (zh)
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