Computational Algebra and Geometry

计算代数和几何

• 批准号: 9555132
• 负责人: Donal O'Shea
• 金额: $ 4.5万
• 依托单位: Five Colleges Inc
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-01-01 至 1998-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9555132&HistoricalAwards=false
• 关键词: Computational; Algebra; Geometry

Algebraic algorithms discovered in the last three decades, coupled with inexpensive high speed computation have created a minor revolution at the research level in algebraic geometry. The new computational methods have found wide application in a number of other fields (including robotics, computer science, and CAD). These ideas are accessible to undergraduates and, in fact, sometimes simpler to grasp than the material in the standard abstract algebra course. This project is creating materials which introduce and explore these methods. The materials can be used as the basis of a number of useful and accessible first algebra courses for students of science, mathematics and engineering.

在过去三十年中发现的代数算法，加上廉价的高速计算，在代数几何的研究层面上产生了一场小小的革命。新的计算方法在许多其他领域（包括机器人、计算机科学和CAD）中得到了广泛的应用。这些概念对本科生来说很容易理解，事实上，有时比标准抽象代数课程中的内容更容易掌握。这个项目正在创造材料来介绍和探索这些方法。这些材料可以作为科学、数学和工程专业学生学习的一些有用的、容易理解的初级代数课程的基础。