Table of contents : Support functionals for closed bounded convex subsets of a Banach space....Pages 1-19 Convexity and differentiability of norms....Pages 20-53 Uniformly convex and uniformly smooth Banach spaces....Pages 54-93 The classical renorming theorems....Pages 94-127 Weakly compactly generated banach spaces....Pages 128-198 The Radon-Nikodým theorem for vector measures....Pages 199-282