  The book contains the results obtained by the author in 1975-1982 and
presents new constructive methods of the topological analysis of integrable
systems having non-linear integrals in involution. The phase topology of the
classical integrable cases of the rigid body dynamics is investigated including
the cases of Euler-Zhukovsky, Goryachev-Chaplygin-Sretenski and Kovalevskaya.
All types of bifurcations of two-dimensional tori in these problems are
revealed.
