Mathematical Sciences: Diophantine Approximations, Power Series and Pade Approximation Methods with Computer Applications

数学科学：丢番图近似、幂级数和 Pade 近似方法与计算机应用

• 批准号: 8819611
• 负责人: David Chudnovsky
• 金额: $ 15.11万
• 依托单位: Columbia University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-03-01 至 1991-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8819611&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Diophantine; Approximations; Power

This project involves research to be done by Drs. David Chudnovsky and Gregory Chudnovsky in a wide variety of mathematical and computer-science fields: approximations to functions and numbers aimed at revealing arithmetic properties of classical constants, solution of Diophantine problems, and applications of number theory to mathematical physics and computer science. One of the most surprising phenomena in the past ten years' developments in mathematics is the unification that has taken place, with connections being discovered among branches of the field that would have been thought absolutely unrelated ten years ago. This research, which brings the theory of whole numbers and its methods to bear on physics, differential equations, and computer science, is very much in this unifying spirit.

这个项目包括由大卫博士进行的研究 Chudnovsky和Gregory Chudnovsky在各种各样的 数学和计算机科学领域：近似 函数和数字，旨在揭示 经典常数，丢番图问题的解决方案， 数论在数学物理中的应用， 计算机科学 在过去的十年里， 数学的发展是一种统一， 地方，与连接被发现之间的分支机构， 十年来，这个领域一直被认为是完全无关的 前这项研究带来了整数理论， 它的方法，以承担物理，微分方程， 计算机科学，在很大程度上就是这种统一的精神。