Books by E. Brian (King's College London) Davies

This authoritative text presents a broad view of the spectral theory of non-self-adjoint linear operators and contains many illustrative examples and exercises. Topics discussed include Fredholm theory, Hilbert-Schmidt and trace class operators, one-parameter semigroups, perturbations of their generators and a thorough account of the new theory of pseudospectra.

An introduction to the theory of partial differential operators. For those with a knowledge of introductory functional analysis, up to the spectral theorem for bounded linear operators on Banach spaces. Suitable for self-study or as a course text.