The first of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California,

Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form Explains how certain results from analysis

The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in

* A geometric approach to problems in physics, many of which cannot be solved by any other methods * Text is enriched with good examples and exercises at the en