In singularity theory and algebraic geometry, the monodromy group is
embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations.
It has applications in the weakened 16th Hilbert problem and
in mixed Hodge structures. There is a deep connection of monodromy
theory with Galois theory of differential equations and algebraic
functions. In covering these and other topics, this book underlines the
unifying role of the monogropy group.