Schedule of Talks for the 2018-2019 Academic Year
Date: Wednesday, October 3, 2018
Speaker: Prof. Joseph Dauben
Department of History
Lehman College/Graduate Center - CUNY
Email: jdauben AT lehman DOT cuny DOT edu
Title: The Jesuits' Failure to Transmit Western Mathematics, Astronomy, and Mathematical Perspective to China: Reflections on Matteo Ricci, Giuseppe Castiglione, Andreas Pozzo, and the Needham Question
Abstract: In 1607 the Jesuit missionary Matteo Ricci (1552-1610), in collaboration with his colleague Xu Guangqi (1562f1633), translated the first six books of Euclid's Elements of Geometry into Chinese. Among those to take a serious interest in this work was the prominent mathematician Mei Wending (1632-1721), but his Jihe tongjie (General Explanation of (Euclid's) Geometry) eliminated most of the demonstrations and redrew many of the original diagrams. Most Chinese mathematicians at the time found the Chinese version of Euclid's Elements too difficult to understand, or too foreign to their interests as mathematicians to take this work seriously as a standard for their own work. Similarly, although the Jesuits' success at predicting astronomical phenomena was highly valued, and they became central figures in Chinese calendar reforms early in the Qing dynasty, they never succeeded in convincing the Chinese to adopt western models of the heavens.

Likewise, when the Jesuit artist Giuseppe Castiglione (1688-1766) collaborated with Nian Yixiao (1671-1738), a high-ranking official of the Yongzheng reign, to produce a Chinese versions of Andrea Pozzo's Perspectiva Pictorum et Architectorum (1693-1698), Chinese artists found no reason to adopt the new realism that mathematical perspective made possible, despite its having revolutionized western art shortly after its discovery by Brunelleschi in the early Quattrocento. Despite the fascination of the Yongzheng emperor (r. 1723-1735) in the trompe l'oeil effects of illusionistic perspective paintings, this never became an interest of Chinese artists themselves. His successor, the Qianlong emperor (r. 1736-1795), commissioned many works that exploited western mathematical perspective, but imperial patronage did not result in popular success for the genre, and today only a handful of these Chinese perspective paintings, rarely seen, survive.

Why were the basic elements of western mathematics, so essential for the Scientific Revolution, as well as the discovery of mathematical perspective that revolutionized western artistic vision (as exemplified by Pozzo's magnificent illusionistic frescoes in the Jesuit Church of St. Ignazio in Rome, for example, and imitated by Giovanni Gherardini for the Beitang or North Church of the French Jesuits in Beijing), not similarly appreciated by Chinese intellectuals and artists? Are the examples of the limited reception of Euclid's Elements by Chinese mathematicians and the general lack of interest in the principles of mathematical perspective in Chinese art in any way related? And does the answer to this question in turn shed any light on the Needham Question - the question Joseph Needham sought to answer through his monumental investigation of Science and Civilization in China - namely why was there never a Chinese scientific revolution?

Date: Wednesday, November 7, 2018
Speaker: Prof. Chris Rorres
Department of Mathematics
Drexel University
Email: crorres AT comcast DOT net
Title: The Count of the Cattle of the Sun: From Mesopotamia to Homer to Archimedes
Abstract: One of the oldest and best known mathematical word problems is Archimedes' Cattle Problem, first presented by Archimedes as a challenge to his colleague Eratosthenes more than two thousand year ago. Its roots, however, can be traced back to Homer and eventually to Sumerian legends from some five thousand years ago.

My talk will discuss how this problem influenced number theory and, in particular, the Pell Equation. Over the centuries the Pell Equation has engaged such mathematicians as Brahmagupta, Fermat, Pell, Euler, and Lagrange. From their analyses the number of Cattle of the Sun was finally computed (with the assistance of a computer) in 1965 and turned out to be an integer with 206,545 digits.

I will also be presenting my own thoughts as to the authenticity of this problem and as to who may or may not have solved it.

Date: Wednesday, December 5, 2018
Speaker: TBA
Title: TBA
Date: Wednesday, March 6, 2019
Speaker: TBA
Title: TBA
Date: Wednesday, April 3, 2019
Speaker: Prof. Inna Tokar
Department of Mathematics
City College of NY, CUNY
innatokar AT gmail DOT com
Title: TBA (Kolmogorov)
Date: Wednesday, May 1, 2019
Speaker: Prof. Eisso Atzema
Department of Mathematics
University of Maine
eisso DOT atzema AT maine DOT edu
Title: TBA