All the Ways of Defining e | Is Euler's Number Geometric? -- Part 1
If you're interested in personal help, I've posted my tutoring services on Fiverr: https://www.fiverr.com/s/dDYkBlz
I have not had the opportunity to teach mathematics as much lately, given the amount of focus I have given to my research. I enjoy the process of teaching and interacting with students and so have decided to do some online tutoring.
Part 2: • What is algebra and geometry? | Is Eu...
The full series on Euler's number:
Part 1: • All the Ways of Defining e | Is Euler...
Part 2: • What is algebra and geometry? | Is Eu...
Part 3: • What are geometric numbers? | Is Eule...
Part 4: • Conservative Vector Fields and Euler'...
Part 5: • Is Euler's Number a Geometric Number?...
Given any conversation between two mathematicians in which π is discussed, sooner or later, Euler’s number e comes up. In this video, we want to address the question of whether Euler’s number admits a geometric interpretation. That is, in the sense that π is geometric, is Euler’s number geometric?
Timestamps
0:00 Introductory Chit Chat
1:22 Reminder of Euler's number
6:44 Calculus definition of Euler's number
7:37 Integral definition of Euler's number
8:05 Summary and comparison of Euler definitions
8:55 Are these geometric characterisations?
This is part 1 of a short series of videos in which we address what makes a number geometric, and whether Euler's number is such a geometric number. The answer turns out to be surprisingly non-trivial, and such an elementary question turns out to be an active area of mathematical research.
If you liked the video, you can show your support for the channel by hitting the like button and subscribing, as well as sharing the video with any friends or colleagues you think might enjoy the video.
💪🙏 Support the channel by signing up to a free trial of Skillshare using the affiliate link https://www.skillshare.com/r/profile/...
If you would like free access to the manim course without signing up to Skillshare, send me an email and I'll send you a free link to the course :)
These videos are separate from my research and teaching roles at the Australian National University, University of Sydney, and Beijing University.
Hi, my name is Kyle and I'm currently doing my doctoral mathematics degree in complex differential geometry under the supervision of Professor Gang Tian and Professor Ben Andrews.
Смотрите видео All the Ways of Defining e | Is Euler's Number Geometric? -- Part 1 онлайн без регистрации, длительностью часов минут секунд в хорошем качестве. Это видео добавил пользователь Kyle Broder 21 Февраль 2021, не забудьте поделиться им ссылкой с друзьями и знакомыми, на нашем сайте его посмотрели 19,258 раз и оно понравилось 543 людям.