The Deranged Mathematician
Senia SheydvasserThe personal Substack of mathematician Senia Sheydvasser, all about learning math and its applications.
| Platform |  | Pricing | Freemium | Publishes | Twice weekly |
|---|---|---|---|---|---|
| Issues | 47 | Founded | 6 months ago | Last Issue | 9 days ago |
| Active | |||||
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derangedmathematician.substack.comLatest Issues
WTF is a Hilbert Space?
Last week, I wrote extensively about the foundations of functional analysis—why it arose, what sort of questions it could be used to answer, and the most core constructions.
We chased Fourier’s idea that you can decompose a function as an...
Presentation(s)!
The 11th group theory lecture
Last time, we introduced the notion of a normal group and how it can be used to define quotients.
Why Functional Analysis?
How do you approximate a function?
If you’ve been through calculus, you might have an answer ready: use the Taylor expansion! This is the trick that everyone learns first, and there are some settings in physics and engineering where it is...
The Importance of Normality
The 10th group theory lecture
Last time, we introduced free groups and showed that only a free group can act freely on a directed tree. We used this to show that, for example, every subgroup of a free group is free.
The Gödel Number of a Non-Trivial Sentence
Back in 2021, I was asked to compute the Gödel number of the Pythagorean theorem. If you don’t know anything about Gödel numbering, don’t worry—you will soon enough! If you do know something about Gödel numbering, then you know that, usuall...
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