Schwarz-Pick type inequalities

Contains historical remarks on the Schwarz Lemma as well as new theorems on Schwarz-Pick inequalities from the last 25 years In addition to the several analytic methods, readers will find many interesting applications of geometric properties of domains from very special cases to domains with uniformly perfect boundary A lot of open problems, old and new, in geometric function theory are discussed in detail Includes supplementary material: sn. pub/extras