Articles liés à Introduction to Integration

Introduction to Integration - Couverture rigide

Priestley, H. A.

 
9780198501244: Introduction to Integration
Couverture rigide
ISBN 10 : 0198501242 ISBN 13 : 9780198501244
Editeur : Oxford University Press, 1997

Synopsis

Introduction to integration provides a unified account of integration theory, giving a practical guide to the Lebesgue integral and its uses, with a wealth of illustrative examples and exercises. The book begins with a simplified Lebesgue-style integral (in lieu of the more traditional Riemann integral), intended for a first course in integration. This suffices for elementary applications, and serves as an introduction to the core of the book. The final chapters present selected applications, mostly drawn from Fourier analysis. The emphasis throughout is on integrable functions rather than on measure. The book is designed primarily as an undergraduate or introductory graduate textbook. It is similar in style and level to Priestley's Introduction to complex analysis, for which it provides a companion volume, and is aimed at both pure and applied mathematicians. Prerequisites are the rudiments of integral calculus and a first course in real analysis.

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

Présentation de l'éditeur

Introduction to integration provides a unified account of integration theory, giving a practical guide to the Lebesgue integral and its uses, with a wealth of illustrative examples and exercises. The book begins with a simplified Lebesgue-style integral (in lieu of the more traditional Riemann integral), intended for a first course in integration. This suffices for elementary applications, and serves as an introduction to the core of the book. The final chapters present selected applications, mostly drawn from Fourier analysis. The emphasis throughout is on integrable functions rather than on measure. The book is designed primarily as an undergraduate or introductory graduate textbook. It is similar in style and level to Priestley's Introduction to complex analysis, for which it provides a companion volume, and is aimed at both pure and applied mathematicians. Prerequisites are the rudiments of integral calculus and a first course in real analysis.

Revue de presse

...my appreciation? It is always a touchy discussion when debating about the use of the Riemann (or an analogous to) or the Lebesgue approach for a beginner's course on integration theory. My point of view is quite close to the one of the author so there will be no arguing here. To the others, let me just say the following: take the book in your hands, read (part of) it and you will see that it is reasonable and advisable to present a rigorous introduction of the Lebesgue integration theory to beginners. (Belgian Mathematical Society)

Priestley takes a great deal of care to motivate you to grasp the concepts and introduces plenty of examples. (New Scientist, 3 October 1998)

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

Éditeur
Oxford University Press
Date d'édition
1997
Langue
anglais
ISBN 10 
0198501242
ISBN 13 
9780198501244
Reliure
Relié
Nombre de pages
318
Coordonnées du fabricant
non disponible
Personne responsable
Ufficio Anagrafiche Messaggerie
ufficio.anagrafiche@meli.it

Via Verdi, 8
Assago Milano
20090
Italie