(Out of print)Cdr.
Peter DuCane's book, "High-Speed Small Craft," is a classic book on the
theory of high speed boats, including hydrofoils and hovercraft. Some of
the theory in this book is a bit dated, but much of it holds up
surprisingly well thirty years after its last revision. This is a book
that should grace the reference library of any high-speed boat designer.
The Fourth Edition includes a good, elementary mathematical model for
a hydrofoil.