Part 2: [ Ссылка ]
The full series on Euler's number:
Part 1: [ Ссылка ]
Part 2: [ Ссылка ]
Part 3: [ Ссылка ]
Part 4: [ Ссылка ]
Part 5: [ Ссылка ]
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.
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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.
