Various books discuss the
Libor Market Model, including Brigo and Mercurio (2006)
and Nawalkha et al (2007).
Of books exclusively about the model, this is the least accessible.
Often it is just one technical formula after another.
Dissect them or you are lost! That being said, the book offers the most
informed, practical look at how the model is implemented today. Schoenmakers (2005)
is also quite technical—better written but more narrowly focused. Rebanato (2002)
is more accessible but verbose ...