B.A.Dubrovin, International School for Advanced Studies, Trieste, Italy
I.M.Krichever, S.P.Novikov, L.D.Landau Institute of Theoretical Physics, Moscow, Russia
This volume is a classic survey of algebraic geometry and topological methods in various problems of mathematical physics and provides an excellent reference text for graduate students and researchers. The book is divided into three parts: the first part concerns Hamiltonian formalism and methods that generalise Morse for certain dynamical systems of physical origin: the second part presents algebraic geometry analysis of the Yang-Baxter equations for two-dimensional models: and finally part three presents the theory of multidimensional theta functions of Abel, Riemann, Poincare in a form that is elementally and convenient for applications.