Measure and Integration - Couverture rigide

Kesavan, S.

 
9789386279774: Measure and Integration
Couverture rigide
ISBN 10 : 9386279770 ISBN 13 : 9789386279774
Editeur : Jainendra K Jain, 2019

Synopsis

This book deals with topics usually studied in a masters or graduate level course on the theory of measure and integration. It starts with the Riemann integral and points out some of its shortcomings which motivate the theory of measure and the Lebesgue integral.

Starting with abstract measures and outermeasures, the Lebesgue measure is constructed and its important properties are highlighted. Measurable functions, different notions of convergence, the Lebesgue integral, the fundamental theorem of calculus, product spaces, and signed measures are studied. There is a separate chapter on the change of variable formula and one on Lp- spaces. Most of the material in this book can be covered in a one semester course. The prerequisite for following this book is familiarity with basic real analysis and elementary topological notions, with special emphasis on the topology of the N- dimensional euclidean space. Each chapter is provided with a variety of exercises.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Jainendra K Jain
Date d'édition
2019
Langue
anglais
ISBN 10 
9386279770
ISBN 13 
9789386279774
Reliure
Relié
Nombre de pages
252
Coordonnées du fabricant
non disponible
Personne responsable
non disponible