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Regiomontanus and Chinese mathematics

Albrecht Heeffer UGent (2008) PHILOSOPHICA (GENT). 82. p.87-114
abstract
This paper critically assesses the claim by Gavin Menzies that Regiomontanus knew about the Chinese Remainder Theorem (CRT) through the Shù shū Jiǔ zhāng (SSJZ) written in 1247. Menzies uses this among many others arguments for his controversial theory that a large fleet of Chinese vessels visited Italy in the first half of the 15th century. We first refute that Regiomontanus used the method from the SSJZ. CRT problems appear in earlier European arithmetic and can be solved by the method of the Sun Zi, as did Fibonacci. Secondly, we pro-vide evidence that remainder problems were treated within the European abbaco tradition independently of the CRT method. Finally, we discuss the role of recre-ational mathematics for the oral dissemination of sub-scientific knowledge.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Chinese, remainder problems, mathematics, Regiomontanus
journal title
PHILOSOPHICA (GENT)
Philosophica (Gent)
editor
Erik Weber UGent
volume
82
issue title
Science in China and Europe: Beyond the Needham Question
pages
87 - 114
ISSN
0379-8402
language
English
UGent publication?
yes
classification
A2
copyright statement
I have transferred the copyright for this publication to the publisher
VABB id
c:vabb:301259
VABB type
VABB-1
id
1092888
handle
http://hdl.handle.net/1854/LU-1092888
date created
2010-12-27 12:47:07
date last changed
2012-04-25 11:36:02
@article{1092888,
  abstract     = {This paper critically assesses the claim by Gavin Menzies that Regiomontanus knew about the Chinese Remainder Theorem (CRT) through the Sh{\`u} sh\={u} Ji\v{u} zh\={a}ng (SSJZ) written in 1247. Menzies uses this among many others arguments for his controversial theory that a large fleet of Chinese vessels visited Italy in the first half of the 15th century. We first refute that Regiomontanus used the method from the SSJZ. CRT problems appear in earlier European arithmetic and can be solved by the method of the Sun Zi, as did Fibonacci. Secondly, we pro-vide evidence that remainder problems were treated within the European abbaco tradition independently of the CRT method. Finally, we discuss the role of recre-ational mathematics for the oral dissemination of sub-scientific knowledge.},
  author       = {Heeffer, Albrecht},
  editor       = {Weber, Erik},
  issn         = {0379-8402},
  journal      = {PHILOSOPHICA (GENT)},
  keyword      = {Chinese,remainder problems,mathematics,Regiomontanus},
  language     = {eng},
  pages        = {87--114},
  title        = {Regiomontanus and Chinese mathematics},
  volume       = {82},
  year         = {2008},
}

Chicago
Heeffer, Albrecht. 2008. “Regiomontanus and Chinese Mathematics.” Ed. Erik Weber. Philosophica (gent) 82: 87–114.
APA
Heeffer, A. (2008). Regiomontanus and Chinese mathematics. (E. Weber, Ed.)PHILOSOPHICA (GENT), 82, 87–114.
Vancouver
1.
Heeffer A. Regiomontanus and Chinese mathematics. Weber E, editor. PHILOSOPHICA (GENT). 2008;82:87–114.
MLA
Heeffer, Albrecht. “Regiomontanus and Chinese Mathematics.” Ed. Erik Weber. PHILOSOPHICA (GENT) 82 (2008): 87–114. Print.