Differential Calculus

Original | rigorous | and lively | this text offers a concise approach to classical and contemporary topics in differential calculus. Based on courses conducted by the author at the Université Pierre et Marie Curie | it encourages readers to pursue the subject in greater depth. The calculus is presented in a Banach space setting | covering: &; Vector fields &; One-parameter groups of diffeomorphisms &; The Morse-Palais lemma &; Differentiable submanifolds The treatment also examines applications to differential equations and the calculus of variables. For upper-level undergraduates and graduate students of analysis.