这几个词放在一起，几乎就是现代数论里最核心的一条线索之一。它们不是三个彼此平行的主题，而是在很深的层面上彼此勾连：代数、分析与算术会在这里突然汇合。椭圆曲线（elliptic curve）表面上只是一个三次方程再加...

Hilbert’s theorem Galois cohomologyGalois extensionsabelian Kummer theoryinfinite Galois extensionsNakayama...

Stokes’s theoremGaussian curvaturethe Levi-Civita connectionthe Lie derivativefoliationsvan Kampen theoremP...

Liouville’s theoremSchwarz-Pick lemmaLaurent seriesCasorati-Weierstrass theoremRunge’s theoremAscoli-Arzéla...

Baire category theorem Hahn-Banach theorem Plancherel’s theorem Fubini’s theorem Fatou’s lemma Riesz repres...