This summer school aims to give an in depth overview of the Bethe ansatz,
which is still the only known systematic method to find the ground state
properties of non-trivial quantum many-body models. First the models to
which the ansatz can be applied will be presented with emphasis on their
particular properties, nature of their potentials, and symmetries. The
basic coordinate Bethe ansatz will be applied to solve the Heisenberg
chain and the Lieb-Liniger gas. Subsequently the nested Bethe-ansatz will
be discussed and applied to solve the Hubbard and related models. The
extensions of the Bethe ansatz such as the {\bf thermodynamics}
generalization, and the finite size Bethe ansatz methods will also be
detailed. The most general approach, namely, the algebraic Bethe ansatz
will then be discussed, and finally a set of lectures will be devoted to
the general issue of integrability. Also models to which the Bethe ansatz
methodology has been applied more recently such as pairing models will be
addressed.

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