|
所在平台: Udemy |
课程主页: https://www.udemy.com/course/calculus-of-variations-2/
课程评论：没有评论
课程名称：变分法2 课程概述：这是关于变分法系列课程的第二门课程，主要涵盖第二变分及一些广义泛函。建议先完成第一门课程，或者具备扎实的变分法基础。我们将深入学习第二变分的基本概念，包括共轭点和包络线的详尽解析。随后，我们将探讨一些更广泛的泛函。这是一门难度较大的课程，但您将学习到许多研究生水平的高等数学知识，这些知识通常只能在大学课堂上获得。课程讲师将亲自推导所有公式，并以有助于理解的方式重新编写，以提供真正有价值的学习方法和先进的变分法理解。对于初学者来说，不必担心一开始无法理解某些内容，许多时候在攻克高难度主题时，暂时放下再回头学习效果更佳。如果在学习过程中遇到任何问题，欢迎随时与我联系。
This is the second course in a series of courses on The Calculus of Variations which covers the second variation and some generalised functionals.I would recommend having completed the first course or alternatively have a good grounding on the basics of Calculus of Variations.We will cover the fundamentals of the second variation which will consist of a thorough grounding in conjugate points and envelopes. Then we will move onto looking at some more generalised functionals.This is a difficult course but you will learn a lot of mathematics at a graduate level that you would only get taught at a University. I have worked through all of the derivations myself and have rewritten then in a manner in which I think will add value to your understanding and will also give you really useful methods and way to understand advanced Calculus.Don't worry of you don't get it at first. I often find when trying to understand an advanced topic it is best to leave it sometimes for a few days and then go back to it afresh. Also remember to get in contact with me if you run into any problems or there is something you just don't get.
