Banach Spaces of Vector Valued Functions When do the Lebesgue Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces This problem and the analogous one for vector valued continuous function spaces have attracted quite a lot of research activity in the last twenty five years. The aim of this monograph is to give a detailed exposition of the answers to these questions providing a unified and self contained treatment. It presents a great number of results methods and techniques which are useful for any researcher in Banach spaces and in general in Functional Analysis. This book is written at a graduate student level assuming the basics in Banach space theory