THE VIDEO SHELF · euler's formula and group theory
Euler's formula with introductory group theory
3Blue1Brown builds intuition for Euler's formula, e^(pi i) = -1, using the core ideas of group theory. It treats exponentiation geometrically as rotation and scaling instead of repeated multiplication.
Why HN readers recommended it
Recommended as a mind-opening, visual explanation of why Euler's formula is true.
This is a summary from the source dataset, not an endorsement by Hacker News or the video creator.
Video & recommendation details
- Creator / channel
- 3Blue1Brown
- Topic
- euler's formula and group theory
- Format
- explainer
- Level
- intermediate
- HN recommenders in dataset
- 3
- HN mentions in dataset
- 5
- Recommendation years in dataset
- 2017–2024
These counts and years describe the included Hacker News records; they are not YouTube views or the video’s publication date.
From the original HN conversations
Excerpts from the recorded comments. Follow each source for the full comment and surrounding discussion.
That whole channel is amazing! I can start just listing all the videos by virtue of picking out awesome ones, but check out the one he did on Euler's formula[1]. Blew my mind. [1] [VIDEO]
BucketSort on Hacker News · 2017-04
In Miniatures: Mathematical and Algorithmic Applications of Linear Algebra [pdf]IMHO, the "deeper truth" is addition is translation and multiplication is rotation/stretching (at least when it comes to rings and fields). It involves getting a geometric understanding of e to the pi i, and 3blue1brown explains it better than I could: [LINK] [6.28 min] [LINK] …
kortex on Hacker News · 2020-12
In Alternative notation for exponents, logs and roots? (2011)Ah, a vaguely wondered if it had something involving Cauchy sequences, I think that was that limit! > The way we extend exponentiation to complex exponents is IMHO much less straightforward. I think it depends on how much you're used to dealing with complex numbers. …
moefh on Hacker News · 2024-07
In What makes e natural? (2004)
Summaries, classifications and recommendation records are from the HackerTube source dataset. Read about this library and its limitations.