Differential Calculus

Offers rigorous coverage of classical and contemporary topics in analysis. Gives a modern treatment, in Banach space setting, of the calculus of several variables. Also deals with vector fields, one-parameter groups of diffeomorphisms, the Morse-Palais lemma, and differentiable submanifolds. Based on lectures given at the Universite Pierre et Marie Curie, Paris. Concisely written, the selection of materials allows readers to study more advanced material with confidence. Includes extensive references.