1 Table of Contents: “... 1. Some Calculus; Chapter 2. Manifolds; Chapter 3. Topological Groups; Chapter 4. Lie Groups...”

2 Table of Contents: “...; Acknowledgments; Chapter 0. Background on Topological Groups and Lie Groups; Chapter I. Transformation Groups...”

3 Table of Contents: “... properties of the group of automorphisms -- The Lie algebra of complete vector fields -- The natural topology...”

4 Table of Contents: “... theory and its applications -- Lie groups -- Dynamical systems -- A description of singularities...”

5 Table of Contents: “... of numbers; Chapter B I. Homological algebra; Chapter B II. Lie groups...”