Mathematical Sciences: Matrix Analysis and Applications

数学科学：矩阵分析与应用

• 批准号: 9619577
• 负责人: David Lutzer
• 金额: $ 13.58万
• 依托单位: College of William and Mary
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-04-01 至 2000-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9619577&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Matrix; Analysis; Applications

This project will bring eight highly motivated and capable undergraduate students from among the region and the nation to the Williamsburg campus of the College of William and Mary during each of the next three summers. The students will spend eight weeks experiencing mathematical research first hand, with close faculty guidance. Faculty advisors will come from William and Mary's mathematics department, widely known for its research in matrix and operator theory. Students will work with faculty mentors, either individually or in small groups, on research projects in matrix theory and its applications that have been chosen by the faculty for their accessibility and appropriateness for well-prepared undergraduates. During the program, seminars on mathematics topics and field trips to nearby installations that employ mathematicians will be provided for the students. Informal discussion and interchange of ideas among students will be strongly encouraged. Each student or group will make several oral presentations and will prepare a final written report. In the past, such reports have been the basis for scholarly publications co-authored by the students and their faculty mentors.

该项目将在接下来的三个暑假中，每年将来自该地区和全国的八名充满动力和能力的本科生带到威廉与玛丽学院的威廉斯堡校区。学生们将在教职员工的密切指导下，花八周时间亲身体验数学研究。教师顾问将来自威廉和玛丽的数学系，该系以研究矩阵和算子理论而闻名。学生将与教师导师一起，单独或以小组形式，研究矩阵理论及其应用方面的研究项目，这些项目是由教师选择的，因为它们对准备充分的本科生来说是易懂和合适的。在该计划期间，将为学生提供关于数学主题的研讨会和对附近雇用数学家的设施的实地考察。将大力鼓励学生之间的非正式讨论和思想交流。每个学生或小组将做几次口头报告，并准备一份期末书面报告。在过去，这样的报告一直是学生和他们的教师导师共同撰写的学术出版物的基础。