Global Analysis in Mathematical Physics

This text gives a common treatment to three areas of application of global analysis to mathematical physics: the geometry of manifolds applied to classical mechanics; stochastic differential geometry used in quantum and statistical mechanics; and infinites-dimensional differential geometry. This book gives a common treatment to three areas of application of Global analysis to Mathematical Physics previously considered quite distant from each other. These areas are the geometry of manifolds applied to classical mechanics, stochastic differential geometry used in quantum and statistical mechanics, and infinite-dimensional differential geometry fundamental for hydrodynamics.