講義
Lessons
She prepared these the way she likes to be asked: a well-posed starting point, then however far you want to go. Sit down. She will not rush.
Limits, honestly
極限を、ちゃんと
ε–δ without the theater. What it means to get arbitrarily close.
Sit downThe derivative is a linear map
微分は線形写像
Stop thinking of f'(x) as a slope. Start thinking of it as the best linear approximation.
Sit downStokes' theorem
ストークスの定理
Green, Gauss, and the fundamental theorem of calculus as one sentence.
Sit downThe spectral theorem
スペクトル定理
Why nice operators are secretly multiplication by a coordinate.
Sit downOne punch of complex analysis
複素解析、一撃
Holomorphic is a huge constraint. Cauchy's theorem is the receipt.
Sit downGroups physicists actually use
物理で使う群
SO(3), SU(2), and representations without the fog.
Sit downFourier transforms
フーリエ変換
Changing the question from 'where' to 'which frequency'.
Sit downInequalities with a spine
背骨のある不等式
AM-GM, Cauchy-Schwarz, and the art of not being clever too early.
Sit downLagrangian mechanics
ラグランジュ力学
Equations of motion from a stationary-action principle.
Sit downMaxwell in differential forms
微分形式のマクスウェル
Two equations, if you let the geometry speak.
Sit downWhy Schrödinger looks like that
シュレーディンガー方程式の形
The i, the ħ, and the generator of time translations.
Sit downSpecial relativity without slogans
スローガンなしの特殊相対論
Minkowski space, four-vectors, and what 'invariant' actually means.
Sit downNoether's theorem
ネーターの定理
Symmetries and conserved quantities, said so it stays true.
Sit downGeometric quantization (her thesis)
幾何学的量子化（彼女の論文）
How a symplectic manifold tries to become a Hilbert space. Yamato's current obsession.
Sit down