This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry an

For graduate students and research mathematicians interested in global analysis and the analysis of manifolds, lays the foundations for a differential calculus

This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developmen

The power that analysis, topology and algebra bring to geometry has revolutionised the way geometers and physicists look at conceptual problems. Some of the key

This book constitutes the proceedings of the 2000 Howard conference on “Infinite Dimensional Lie Groups in Geometry and Representation Theory”. It presents