The 2004 conference on ‘Methods in Banach space theory’ was held in Spain. The conference brought together 86 participants from 14 countries, including leading specialists in the field, and was organized, like this proceedings volume, in five sections reflecting a wide spectrum of modern Banach space theory: geometrical methods, homological methods, topological methods, operator theory methods and function space methods. There are sixteen papers written by specialists in these fields. They represent surveys of the state of the art in individual fields and also contain some of the latest and most important results of infinite dimensional Banach space theory. The book is warmly recommended to researchers and graduate students in Banach space theory and functional analysis.