This volume is devoted to the study of uniformly continuous and, in particular, Lipschitz functions between Banach spaces. Also studied is the related question of classifying Banach spaces and their subsets mainly spheres with respect to uniform or Lipschitz classification. The closing chapters discuss pertubations of local isometries and global isometries, and twisted sums. A second volume involving Frechet differentiability of Lipschitz functions between Banach spaces will follow. Annotation c. Book News, Inc., Portland, OR (booknews.com)