Knot Theory, Algebra, and Higher Algebra

纽结理论、代数和高等代数

• 批准号: 262178-2013
• 负责人: BarNatan, Dror
• 金额: $ 2.11万
• 依托单位: University of Toronto
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=525522
• 关键词: Knot; Theory; Algebra; Higher

Why are mathematicians fascinated by the whole numbers? Certainly not because of the beauty inherent in staring at numbers such as 9,465,438. Neither is it due to the difficulty in figuring out that 9,465,438 is 2x3x1,577,573. The true reason is that the whole numbers are surprisingly deep, and the study of whole numbers, also known as "number theory", forces us to better understand, and indeed develop, many other useful and beautiful techniques, concepts and ideas. Number theory just seems to be related to everything.

为什么数学家对整数如此着迷？当然不是因为盯着9465438这样的数字所固有的美。也不是因为很难算出9，465，438是2x3x1，577，573。真正的原因是，整数是令人惊讶的深度，和研究整数，也被称为“数论”，迫使我们更好地理解，并确实发展，许多其他有用的和美丽的技术，概念和想法。数字理论似乎与一切都有关。