III.50 Linear Operators and Their Properties.

Properties of Operators Defined on a Hilbert Space.

Unitary and Orthogonal Maps.

Hermitian and Self-Adjoint Maps.

Properties of Matrices.

The Spectral Theorem.

Projections.

III.51 Local and Global in Number Theory, by Fernando Q. Gouvea.

Studying Functions Locally.

Numbers are Like Functions.