Linear Algebra and Applications Graduate Summer School

线性代数及其应用研究生暑期学校

• 批准号: 0753009
• 负责人: Leslie Hogben
• 金额: $ 2.52万
• 依托单位: Iowa State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-06-01 至 2009-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0753009&HistoricalAwards=false
• 关键词: Linear; Algebra; Applications; Graduate; Summer

ABSTRACTPrincipal Investigator: Hogben, Leslie Proposal Number: DMS - 0753009 Institution: Iowa State University Title: Linear Algebra and Applications Graduate Summer School: Additional FundingLinear algebra is a subject of central importance in both mathematics and a variety of other disciplines. It is used by virtually all mathematicians and by statisticians, physicists, biologists, computer scientists, engineers, and social scientists. Just as the basic idea of first semester differential calculus (approximating the graph of a function by its tangent line) provides information about the function, the process of linearization often allows difficult problems to be approximated by more manageable linear ones. This can provide insight into, and, thanks to ever-more-powerful computers, approximate solutions of the original problem. The fundamental nature of linear algebra and its many applications make this an ideal theme for a summer program for graduate students.The 2008 Institute for Mathematics and its Applications (IMA) Participating Institutions Summer Graduate Program on ``Linear Algebra and Applications'' will be held Iowa State University June 29 - July 26, 2008. The IMA will pay all costs for the principal speakers and all expenses for up to two students from each of the 40 IMA participating institutions to this Summer Graduate Program. This project will provide support for an 12 additional graduate students from non-IMA US institutions, and salary for a post-doctoral associate who will serve as a mentor to the graduate students. Applications will be taken through the Linear Algebra and Applications Graduate Summer School website http://www.ima.umn.edu/2007-2008/PISG6.30-7.25.08/The program organizers are Leslie Hogben, Wolfgang Kliemann and Yiu-Tung Poon. The the principal speakers and their topics are:Bryan Shader, University of Wyoming, Linear algebra and applications to combinatorics.David S. Watkins, Washington State University, Numerical Linear Algebra.Chi-Kwong Li, College of William and Mary, Matrix inequalities and equations in science and engineering.Fritz Colonius, University of Augsburg, Germany, Applications of linear algebra to dynamical systems.Lectures will be presented in the mornings and students will work in groups in the afternoons, supervised by post-doctoral associate Jason Grout. Each week the students will learn the necessary background to attack current research problems presented at the end of the week.The Linear Algebra and Applications Graduate Summer School will help to educate future US mathematical scientists. This NSF funding will broaden participation in the summer school and will hence magnify its impact and allow a more diversified group of students to participate, since the organizers will now advertise the summer school broadly also to underrepresented groups of students outside of the IMA participating institutions.

摘要主题研究者：Hogben，Leslie提案编号：DMS -0753009机构：爱荷华州立大学的标题：线性代数和应用研究生暑期学校：额外的Fundinglineal Algebra在数学和其他各种目标方面都具有核心重要性。几乎所有数学家，统计学家，物理学家，生物学家，计算机科学家，工程师和社会科学家都使用它。正如第一学期差分微积分的基本思想（近似于其切线线的函数图）提供了有关功能的信息一样，线性化的过程通常会允许使用更易于管理的线性线性近似困难的问题。这可以提供有关原始问题的近似解决方案的洞察力，并且可以欣赏到原始问题的近似解决方案。 线性代数及其许多应用的基本本质使这是研究生夏季计划的理想主题。2008年数学研究所及其应用程序（IMA）参与机构的夏季研究生课程“线性代数和应用”将于2008年6月29日至7月26日付款。 40个IMA参加该夏季研究生课程的机构。 该项目将为来自美国非IMA机构的另外12名研究生提供支持，并为博士后同事提供薪水，该研究生将担任研究生的导师。 应用程序将通过线性代数和应用研究生暑期学校网站http://www.ima.uma.unm.un.edu/2007-2008/pisg6.30-7.25.08/程序组织者是莱斯利·霍格本，沃尔夫冈·克里曼·克里曼·克里曼和Yiu-tung poon。 主要的演讲者及其主题是：布莱恩·谢默（Bryan Shader），怀俄明大学，线性代数和组合的应用。DavidS. Watkins，华盛顿州立大学，数字线性代数。Chi-kwong li。到了动态系统。将在早晨展示，学生将在下午的小组中进行小组工作，并由博士后助理杰森·格鲁特（Jason Grout）监督。 每周，学生都会学习必要的背景，以攻击本周结束时提出的当前研究问题。线性代数和应用程序研究生暑期学校将有助于教育未来的美国数学科学家。 NSF的资金将扩大对暑期学校的参与，因此会扩大其影响力，并允许更加多元化的学生参加，因为组织者现在将广告广泛地宣传暑期学校，也可以在IMA参与机构以外的代表人数不足。