The Atiyah-singer index theorem, proved in 1963, is one of the highlights of twentieth century mathematics. It subsumed many classical results that connected topological properties of manifolds with their differential-geometric properties, and led to a lot of new research in topology, geometry, analysis and physics. This book published in 1965, was one of the first expositions of this theorem. It is a document of historical interest and much can be learned from ...
