Transmission of Mathematical Ideas: 2000 Years of Exchange and Influence from Late Babylonian Mathematics to Early Renaissance Science

数学思想的传播：从巴比伦晚期数学到文艺复兴早期科学的2000年交流和影响

• 批准号: 9910964
• 负责人: Joseph Dauben
• 金额: $ 1.25万
• 依托单位: Research Foundation of the City University of New York
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-04-01 至 2000-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9910964&HistoricalAwards=false
• 关键词: Transmission; Mathematical; Ideas; 2000; Years

SES 99-10964 - Joseph W. Dauben (Lehman College, CUNY) - "Transmission of Mathematical Ideas: 2000 Years of Exchange and Influence from Late Babylonian Mathematics to Early Renaissance Science"This award provides partial support for an International Symposium to be held at the Bellagio Conference Center, May 8-12, 2000, Bellagio, Italy. Other support for this Symposium is being provided by the Rockefeller Foundation, the International Commission on History of Mathematics, and the International Mathematical Union.This conference is designed to investigate the 2000-year history of the transmission of mathematical ideas across cultures, geographically a history that spans the major silk routes and bridges the mathematical achievements of the ancient Mediterranean and those of East Asia, especially India and China. Its organizers plan to convene a group of international experts, scholars with diverse language abilities, to focus attention on texts, problems, methods and examples that, collectively, the organizers anticipate will help to resolve many open questions about the origins and dissemination of mathematical knowledge.How is it possible, for example, to account for the fact that in various texts - from ancient China to medieval Europe - more or less the same problems arise, often using the same examples, parameters, and methods? If virtually identical problems and procedures were not rediscovered from culture to culture independently, then how were they transmitted, and to what effect?The purpose of the Bellagio meeting is to focus attention on early mathematical works, especially those in China, India, the Arabic/Islamic world, and the late Middle Ages/Renaissance in Europe, in order to explore evidence of direct and indirect influences, possible connections, and various means by which the problems or methods devised in one particular place and time found their way to other points, often very distant in both place and time. The value of holding such a conference at Bellagio is that the Conference Center provides a quiet, reflective atmosphere conveniently located to accommodate both scholars from Europe and North America as well as those coming from the Near and Far East, or from North Africa. Bellagio will also provide a relaxed setting for an intensive conference where individual expertise can be collectively shared, and pre-circulated papers can be collectively discussed in anticipation of publishing a book devoted specifically to the problem of how mathematical ideas have migrated across time and cultures.

SES 99-10964 - Joseph W. Dauben（Lehman College，CUNY）-“Transmission of Mathematical Ideas：2000 Years of Exchange and Influence from Late Babylonian Mathematics to Early Renaissance Science“该奖项为将于2000年5月8日至12日在意大利贝拉焦的贝拉焦会议中心举行的国际研讨会提供部分支持。洛克菲勒基金会、国际数学史委员会和国际数学联合会为这次研讨会提供了其他支持。这次会议旨在探讨2000年来数学思想跨文化传播的历史，地理上跨越主要丝绸之路的历史，以及古地中海和东亚数学成就的桥梁，尤其是印度和中国。组织者计划召集一批具有不同语言能力的国际专家、学者，集中讨论文本、问题、方法和实例，组织者预计这些问题将有助于解决有关数学知识起源和传播的许多悬而未决的问题。来解释这样一个事实：从古代中国到中世纪的欧洲，在各种文本中，或多或少都会出现同样的问题，而且经常使用同样的例子、参数和方法？如果实际上相同的问题和程序没有从一种文化到另一种文化独立地被重新发现，那么它们是如何传播的，又产生了什么影响？贝拉焦会议的目的是集中注意力在早期的数学作品，特别是那些在中国，印度，阿拉伯/伊斯兰世界，和中世纪后期/欧洲文艺复兴时期，以探讨直接和间接的影响，可能的联系，以及各种手段，其中的问题或方法设计在一个特定的地点和时间找到他们的方式到其他点的证据，往往在时间和地点上都很遥远。在贝拉焦举行这样一个会议的价值在于，会议中心提供了一个安静，反思的气氛，方便地容纳来自欧洲和北美的学者以及来自近东和远东或北非的学者。贝拉吉奥还将为一个密集的会议提供一个轻松的环境，在这个会议上，个人的专业知识可以集体分享，预先分发的论文可以集体讨论，预计将出版一本专门讨论数学思想如何跨越时间和文化迁移的书。