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.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Illustrationen
ISBN-13
978-0-412-31080-5 (9780412310805)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Klassifikation
Basic ideas. Some simple results. Open and closed sets. Denseness, separability and completeness. Function spaces. Compactness. The contraction mapping theorem. Linear mappings. Differentiation in R2. Differetiation - a more abstract viewpoint. The Riemann integral. Two hard results.
