The book offers a direct and up-to-date introduction to the theory
of one-parameter semigroups of linear operators on Banach spaces.
It contains the fundamental results of the theory such as the
Hille-Yoshida generation theorem, the bounded perturbation theorem,
and the Trotter-Kato approximation theorem. It also treats the
spectral theory of semigroups and its consequences for the
qualitative behavior. The book is intended for students and
researchers who want to become acquainted with the concept of
semigroups in order to work with it in fields like partial and
functional differential equations. Exercises are provided at the
end of the chapters.