Symmetries and Integrability of Difference Equations (Crm Proceedings and Lecture Notes, 9)

Describes how some techniques traditionally used with linear and nonlinear differential equations are now being applied to the symmetries and integrability of difference and q -difference equations and the theory of special functions that occur as solutions of such equations. The topics include Lie group and quantum group symmetries, integrable and non-integrable discretizations of continuous integrable systems, the discrete PainlevT property and singularity confinement, integrable mappings, and applications in statistical mechanics and field theories. The 35 papers are from a May 1994 workshop in Est e rel, Quebec. No index. Member prices are $59 for individuals and $78 for institutions. Annotation c. by Book News, Inc., Portland, Or.

A comprehensive introduction to the subject suitable for graduate students and researchers. This book is also an up-to-date survey of the current state of the art and thus will serve as a valuable reference for specialists in the field.