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所在平台: Udemy |
课程主页: https://www.udemy.com/course/calculus-of-variations/
课程评论：没有评论
课程名称：变分法 课程概述：这并不是一门普通的在线课程。在互联网上，您不会找到如此彻底和直观的变分法课程（我知道，因为我曾为寻找这样的课程而努力，最终决定自己创建这门课程）。在任何其他地方，这门学科都不会以这样的方式教授。该课程最重要的价值在于理解。我希望您能够真正理解这一主题，课程结束时能对自己说：“我拥有变分法——它属于我”。如果您想理解变分法，而不仅仅是应用一些随机的数学公式，想知道背后的意义，那么这就是您的课程。 本课程的介绍方式非常独特。我将从欧拉最初推导出基本的变分法构建块——欧拉-拉格朗日方程入手，而将标准推导留到课程的后面。课程中包含了许多示例，包括一些最著名的例子，以及一些在任何教科书中都找不到的例子。每一条推导都彻底且逐步解释，从方程到方程。 您不会以如此方式学习这一主题，除了支付去大学的费用（即便如此，您也很可能只会学到标准的公式化版本）。在这门课程中，您将获得我原创的推导，其中一些是常见的推导，您在任何书中都能找到，但也有一些推导是您无法在书中找到的（我为此进行了大量的研究，最终花了很多时间自己推导出来）。您可以下载每节课的PDF版本或整个课程的PDF文件。 这不是一门简单的课程，深入学习所有的数学内容将需要您花费大量时间。然而，这将是值得的，您将学到很多在其他地方找不到的技巧和数学窍门。我建议您在工作途中或午餐时重新推导这些内容，深思熟虑。不要感到沮丧或气馁——请记住，我会在这里帮助您。祝您学习顺利！
This is not your average Udemy course. You will not see the calculus of variations taught as thoroughly and intuitively anywhere on the internet (I know because I looked for such a course and not having found one decided to create this course). You will not see this subject taught in this way anywhere else online. The most important point and value in this course is COMPREHENSION. I want you to understand the subject , I want you to be able to say at the end of this course, 'I OWN THE CALCULUS OF VARIATIONS - IT BELONGS TO ME'.If you want to understand the calculus of variations as opposed to just applying some random maths equations and wonder what is going on then this is the course for you. What matters is true comprehension. As such I have introduced this subject in a non standard way. I derive the basic building block of calculus of variations namely the Euler-Lagrange equation in the terms that Euler first derived it and leave the standard derivation to much later in the course. The course has many examples including some of the most famous but also some that you just won't see in any textbook. The derivations are thorough and explained line per line equation to equation. You just won't get this subject taught like this unless you pay to go to university (and even then you will probably get the standard formulaic version). In this course you will get access to my original derivations , some of which are common derivations you will get in any book but some of the derivations you will not find in any books (I know I looked for them and in the end spent many hours deriving them myself). You can download a PDF copy of each lecture or a PDF of the entire lecture course. This is NOT AN EASY COURSE and to cover all the maths in depth will take you a lot of time. It will be time well spent as you will learn lots of tips and mathematical tricks that you just won't find anywhere else. I recommend you recreate the derivations and think about them as you walk to work or have coffee at lunch. Don't get put off or dejected - remember I AM HERE if you need help.Good luck with the course.
