Articoli correlati a Measure and Integration

Measure and Integration - Rilegato

Kesavan, S.

 
9789386279774: Measure and Integration
Rilegato
ISBN 10: 9386279770 ISBN 13: 9789386279774
Casa editrice: Hindustan Book Agency, 2019

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Editore
Hindustan Book Agency
Data di pubblicazione
2019
Lingua
Inglese
ISBN 10 
9386279770
ISBN 13 
9789386279774
Rilegatura
Copertina rigida
Numero di pagine
238
Contatto del produttore
non disponibile
Persona responsabile
non disponibile