Jack Katarincic and Liam O'Toole -- "Sun Zi's Problem:" The Chinese Remainder Theorem
                                      and the History of Chinese Mathematics
 
  Excellent job on your paper and presentation!  The only thing that you 
  didn't do that I would have liked to see was to say a few words about
  the statements of the CRT in modern algebra, where the result is 
  often stated this way:  "If m, n are relatively prime integers, then
  the group Z_{mn} of integers modulo mn is isomorphic to the product
  Z_m x Z_n."  That shows a bit about how mathematics has tended to 
  work from the concrete to the abstract and from the particular to the
  general.  
  
  Specific Comments:

  1)  Page 5 -- If I am recalling this correctly, I think some historians
      see the occurrence of the Pascal triangle in Zhu Shijie's work as
      a possible influence from India and Persia because the same mathematical
      work appears in Indian sources from about 500CE to 975CE and also 
      in the Persian mathematician Al-Karaji (about 1000CE).  

  2)  Page 5 -- It's interesting that the translation of Euclid into Chinese
      was a project of the Jesuit missionary Matteo Ricci (together with 
      the Chinese scholar Xu Guangqi).  Ricci had learned mathematics under
      the teaching of Christopher Clavius, S.J., the subject of the project
      that Mike Melch and Quinn Suydam told us about. 

  3)  Page 7 -- Your observation that Sun Zi's presentation is reminiscent
      of the way Diophantos presented his arithmetical theorems is a very
      good one!

  4)  Page 9 -- You say the Mayan calendar system "involves modular arithmetic,"
      but I think it would be better to say that we can analyze it using 
      modular arithmetic.  The Mayans did not have any of that mathematics
      in what they did (at least not in the same form that we would use!)

  
  Final Project Grade Computation 
 
  Bibliography:  10/10  

  Paper:         58/60

  Presentation:  30/30

  Total:         98/100