Publisher's Synopsis
An overview of abstract analysis and the language of normed linear spaces, which lie at the heart of modern mathematics. It gives an introduction to the basic notions of convergence of sequences, continuity of functions, open and closed set, compactness, completeness and separability.;It includes chapters on differentiation, linear mappings, integration, the implicit function theorem as well as exercises and examples of applications of the theory to diverse areas of mathematics.;The book is intended for the student who has had a first course in mathematical analysis or advanced calculus.
