World Library  
Flag as Inappropriate
Email this Article

Mathematical Treatise in Nine Sections

Article Id: WHEBN0006704014
Reproduction Date:

Title: Mathematical Treatise in Nine Sections  
Author: World Heritage Encyclopedia
Language: English
Subject: Chinese mathematics, Song dynasty, Horner's method, Ulrich Libbrecht, Chinese remainder theorem
Collection: 1247 Works, Chinese Mathematics, Mathematics Manuscripts, Song Dynasty, Song Dynasty Literature
Publisher: World Heritage Encyclopedia
Publication
Date:
 

Mathematical Treatise in Nine Sections

Mathematical Treatise in Nine Sections in The Siku Quanshu
1842 wood block printed Shu Shu Jiu Zhang
surveying a round city from afar.Shu Shu Jiu Zhang
Qin Jiushao solved third order equation with rod calculus

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.

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:

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.[2]

Notes

  1. ^ Yoshio Mikami, The Development of Mathematics in China and Japan, Chelsia, New York, 1913 edition, p77
  2. ^ Ulrich Libbrecht: Chinese Mathematics in the Thirteenth Century: "Shu-shu Chiu-chang" of Ch'in Chiu-shao, Dover Publications Inc., ISBN 978-0-486-44619-6

References

This article was sourced from Creative Commons Attribution-ShareAlike License; additional terms may apply. World Heritage Encyclopedia content is assembled from numerous content providers, Open Access Publishing, and in compliance with The Fair Access to Science and Technology Research Act (FASTR), Wikimedia Foundation, Inc., Public Library of Science, The Encyclopedia of Life, Open Book Publishers (OBP), PubMed, U.S. National Library of Medicine, National Center for Biotechnology Information, U.S. National Library of Medicine, National Institutes of Health (NIH), U.S. Department of Health & Human Services, and USA.gov, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for USA.gov and content contributors is made possible from the U.S. Congress, E-Government Act of 2002.
 
Crowd sourced content that is contributed to World Heritage Encyclopedia is peer reviewed and edited by our editorial staff to ensure quality scholarly research articles.
 
By using this site, you agree to the Terms of Use and Privacy Policy. World Heritage Encyclopedia™ is a registered trademark of the World Public Library Association, a non-profit organization.
 


Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.