Pseudo-Differential Operators and the Nash-Moser Theorem

This book presents two essential and apparently unrelated subjects. The first, microlocal analysis and the theory of pseudo-differential operators, is a basic tool in the study of partial differential equations and in analysis on manifolds. The second, the Nash-Moser theorem, continues to be fundamentally important in geometry, dynamical systems, and nonlinear PDE. Each of the subjects, which are of interest in their own right as well as for applications, can be learned separately. But the ...