Differential calculus
Bibliographic details
Summary
"Original, rigorous, and lively, this text offers a concise approach to classical and contemporary topics in differential calculus. The subject is presented in a Banach space setting, covering vector fields, one-parameter groups of diffeomorphisms, the Morse-Palais lemma, and differentiable submanifolds. Suitable for upper-level baccalaureate and graduate students of analysis, the treatment also examines applications to differential equations and the calculus of variables"--