The main purpose of the present volume is to give a survey of some of the most significant achievements obtained by topological methods in nonlin- ear analysis during the last three decades. It is intended, at least partly, as a continuation of Topological Nonlinear Analysis: Degree, Singularity and Varia- tions, published in 1995. The survey articles presented are concerned with three main streams of research, that is topological degree, singularity...