Why Quantum Theory Is Hard: This Course Starts With Banach Spaces, Not Physics

burny_tech · x · 2026-10-15

A screenshot of Frederic Schuller's Lectures on Quantum Theory is making the rounds: the 21-lecture, 37-hour course opens not with physics but with Banach spaces, separable Hilbert spaces, projectors and kets, and measure theory — building the functional analysis foundation before touching quantum mechanics.

The joke resonated: anyone who's taken graduate math courses knows quantum theory's difficulty is really a math prerequisite problem. Individual lectures run 2-3 hours, with the most-viewed exceeding 200K views.

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