In a typical undergraduate or graduate math sequence, "Analysis II" (or Real Analysis II) builds on the foundations of limit theory and one-variable calculus. Common topics include: Differentiability in

, the Implicit Function Theorem, and the Inverse Function Theorem.

Lebesgue integration, measurability, and convergence theorems.

Several authoritative textbooks use this title to organize mathematical theory:

: Part of a well-regarded two-volume set intended for honors students, covering multivariable analysis and more.