In this chapter we outline some of the theory of analytic manifolds over a local field k. Anyone familiar with real analytic manifolds will see that this outline is a simple carry over of basic concepts and results on real analytic manifolds to cover the non-archimedean case. We do not touch upon the deeper results on real or complex analytic manifolds. In particular we do not deal with the topology of real or complex manifolds which is a fascinating subject. The topology of analytic manifolds over a non-archimedean field, on the other hand, is far from interesting: by a theorem of Serre, every paracompact analytic manifold over a non-archimedean field is analytically isomorphic to a disjoint union of discs.