These lecture notes are intended as a non-technical overview of
scattering theory. The point of view adopted throughout is that
scattering theory provides a parameterization of the continuous
spectrum of an elliptic operator on a complete manifold with
uniform structure at infinity. The simple and fundamental case of
the Laplacian or Euclidean space is described in the first two
lectures to introduce the basic framework of scattering theory. In
the next three lectures various results on Euclidean scattering,
and the methods used to prove them, are outlined. In the last three
lectures these ideas are extended to non-Euclidean settings. These
lecture notes will be of interest to graduate students and
researchers in the field of applied mathematics.
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