Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.

* Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables.

* Includes an appendix on the Riesz representation theorem.