The main themes of this book are to establish the triple formula without
any hypotheses on the genericity of the morphism, and to develop a
theory of complete quadruple points, which is a first step towards
proving the quadruple point formula under less restrictive hypotheses.
This book should be of interest to graduate students and researchers in
the field of algebraic geometry. The reader is expected to have some
basic knowledge of enumerative algebraic geometry and pointwise Hilbert
schemes.