A Course in Mathematical Analysis - Couverture rigide

Garling, D. J. H.

Couverture rigide

ISBN 10 : 1107032040 ISBN 13 : 9781107032040

Editeur : Cambridge University Press, 2014

Synopsis

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in the first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. Volume 1 focuses on the analysis of real-valued functions of a real variable. Volume 2 goes on to consider metric and topological spaces. This third volume develops the classical theory of functions of a complex variable. It carefully establishes the properties of the complex plane, including a proof of the Jordan curve theorem. Lebesgue measure is introduced, and is used as a model for other measure spaces, where the theory of integration is developed. The Radon–Nikodym theorem is proved, and the differentiation of measures discussed.

A propos du livre

À propos de l'auteur

D. J. H. Garling is Emeritus Reader in Mathematical Analysis at the University of Cambridge and Fellow of St John's College, Cambridge. He has fifty years' experience of teaching undergraduate students in most areas of pure mathematics, but particularly in analysis.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2014
• Langue: anglais
• ISBN 10: 1107032040
• ISBN 13: 9781107032040
• Reliure: Relié
• Nombre de pages: 332
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France