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2.035在数学与应用专题:线性代数和微积分的变化(麻省理工学院)

2.035 Special Topics in Mathematics with Applications: Linear Algebra and the Calculus of Variations (MIT)
课程网址: http://ocw.mit.edu/courses/mechanical-engineering/2-035-special-t...  
主讲教师: Rohan Abeyaratne
开课单位: 麻省理工学院
开课时间: 2008-01-01
课程语种: 英语
中文简介:
本课程介绍了传统机械工程课程中未涉及的一系列数学主题,如微分几何,积分几何,离散计算几何,图论,优化技术,变分微积分和线性代数。任何特定年份涉及的主题取决于学生和教师的兴趣。重点是基本思想和机械工程应用。今年,该主题侧重于线性代数和变异计算的选定主题。它主要(但不仅限于)旨在学习力学(固体力学,流体力学,能量方法等)的学生,并且该课程介绍了这些学科中使用的一些数学工具。应用主要(但不仅仅是)与结晶固体的微结构相关。
课程简介: This course forms an introduction to a selection of mathematical topics that are not covered in traditional mechanical engineering curricula, such as differential geometry, integral geometry, discrete computational geometry, graph theory, optimization techniques, calculus of variations and linear algebra. The topics covered in any particular year depend on the interest of the students and instructor. Emphasis is on basic ideas and on applications in mechanical engineering. This year, the subject focuses on selected topics from linear algebra and the calculus of variations. It is aimed mainly (but not exclusively) at students aiming to study mechanics (solid mechanics, fluid mechanics, energy methods etc.), and the course introduces some of the mathematical tools used in these subjects. Applications are related primarily (but not exclusively) to the microstructures of crystalline solids.
关 键 词: 微分几何; 离散计算几何; 图论; 优化技术; 线性代数演算
课程来源: 麻省理工学院公开课
最后编审: 2015-10-10:linxl
阅读次数: 29