Theories of Integration: The Integrals of Riemann, Lebesgue, HenstockKurzweil, and McShane - Couverture rigide

Swartz, Charles W; Kurtz, Douglas S

 
9789814368995: Theories of Integration: The Integrals of Riemann, Lebesgue, HenstockKurzweil, and McShane
Couverture rigide
ISBN 10 : 9814368997 ISBN 13 : 9789814368995
Editeur : World Scientific Publishing Co Pte Ltd, 2011

Synopsis

This book uses classical problems to motivate a historical development of the integration theories of Riemann, Lebesgue, Henstock - Kurzweil and McShane, showing how new theories of integration were developed to solve problems that earlier integration theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. The chapters covering each integral are essentially independent and could be used separately in teaching a portion of an introductory real analysis course. There is a sufficient supply of exercises to make this book useful as a textbook.

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

Présentation de l'éditeur

This book uses classical problems to motivate a historical development of the integration theories of Riemann, Lebesgue, Henstock - Kurzweil and McShane, showing how new theories of integration were developed to solve problems that earlier integration theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. The chapters covering each integral are essentially independent and could be used separately in teaching a portion of an introductory real analysis course. There is a sufficient supply of exercises to make this book useful as a textbook.

Revue de presse

Each chapter closes with numerous exercises of varied difficulty level and aim, making the book easily adoptable in accompanying either an undergraduate or graduate level course in analysis. Alternatively, the book can be used to construct an entire course on integration. The student following any course where integration is mentioned, or the independent student wishing to learn a good portion of integration theory, will also find this book helpful and illuminating. --Zentralblatt MATH

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2011
Langue
anglais
ISBN 10 
9814368997
ISBN 13 
9789814368995
Reliure
Relié
Numéro d'édition
2
Nombre de pages
314
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne