Theory and Applications of Hypergeometric Series

超几何级数理论与应用

• 批准号: DP0663525
• 负责人: Prof Peter Forrester
• 金额: $ 17.04万
• 依托单位: The University of Melbourne
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2006
• 资助国家: 澳大利亚
• 起止时间: 2006-01-01 至 2010-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0663525
• 关键词: Theory; Applications; Hypergeometric; Series

Techniques based on hypergeometric series lie at the heart of an exciting and rapidly developing class of mathematical methods, with applications to many areas of science and engineering, such as computer science, statistics, physics, chemistry and biology. In the past decades Australia has been at the forefront of important developments in the field, and this proposal serves to further strengthen the country's leading reputation. Many of the modern methods in the theory require expertise in mathematics as well as a high level of programming skills. This combination provides a unique training ground for higher degree students aiming at careers in financial mathematics, weather/climate forecasting and internet security.

基于超几何级数的技术是一类令人兴奋和迅速发展的数学方法的核心，应用于科学和工程的许多领域，如计算机科学、统计学、物理学、化学和生物学。 在过去的几十年里，澳大利亚一直走在该领域重要发展的前列，这一提议有助于进一步加强该国的领先声誉。 该理论中的许多现代方法需要数学专业知识和高水平的编程技能。这一结合为金融数学、天气/气候预报和互联网安全领域的高等学位学生提供了一个独特的培训场所。