John lee

This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. Meer

The mist of poisonous gas that drifted across no man's land from the German trenches opposite the Ypres salient on 22 April 1915 caused ghastly casualties and suffering among the unprepared defenders, and it opened up a huge seven-mile gap in the defensive line. Meer