Is Euler's Number a Geometric Number? | A response to 3Blue1Brown's video on Euler's number
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In 3Blue1Brown's video "What's so special about Euler's number e?", Grant asks the question of whether Euler's number has a geometric description. This is the final video in a short series of videos which addresses exactly this question.
A link to @3blue1brown 's video "What's so special about Euler's number e?" is found here: • What's so special about Euler's numbe...
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?
This is part 5, the finale, 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.
In this episode, we look address whether Euler's number is geometric in the sense of Kontsevich and Zagier.
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?...
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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.
Kontsevich and Zagier article: https://link.springer.com/content/pdf...
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