基于泛函极值问题的树冠形状分析

Analysis of the Crown Shape Based on Functional Extreme Value Problem

为了培养工科研究生学习泛函分析课程的兴趣,激发利用泛函分析知识解决实际问题的潜能,巩固课堂教学效果,本文将树冠形状的刻画问题中的建模过程细化、简化,提炼成适合研究生课堂教学的教学案例.这种体现数学思维过程的案例可激发研究生学习数学知识的兴趣和培养自主思考的创新能力.

In order to develop the interest in learning the course of functional analysis for such graduates in engineering fields, to excite their innovation potential to solve practical problems using the functional analysis knowledge, to evaluate the effect of classroom teaching, in this paper, the author posts a teaching case for graduate teaching by simplifying and refining the modeling process in depiction the crown shape. It reflects the mathematical thought in the modeling process and excites the interest of learning mathematical knowledge, and develops the abilities of independent thinking and innovation.