The Lebesgue-Stieltjes Integral: A Practical Introduction - Couverture rigide

Carter, M.; Brunt, B. Van

Couverture rigide

ISBN 10 : 0387950125 ISBN 13 : 9780387950129

Editeur : Springer-Verlag New York Inc., 2000

Synopsis

The book introduces the Lebesgue-Stieltjes integral on the real line in a natural way as an extension of the Riemann integral. Many applied mathematicians will in all probability find themselves needing to use the Lebesgue or Lebesgue-Stieltjes Integral without having the necessary theoretical background. It is to such readers that this book is addressed. Exercises which extend and illustrate the theory, and provide practice in techniques, are included.

A propos du livre

Présentation de l'éditeur

While mathematics students generally meet the Riemann integral early in their undergraduate studies, those whose interests lie more in the direction of applied mathematics will probably find themselves needing to use the Lebesgue or Lebesgue-Stieltjes Integral before they have acquired the necessary theoretical background. This book is aimed at exactly this group of readers. The authors introduce the Lebesgue-Stieltjes integral on the real line as a natural extension of the Riemann integral, making the treatment as practical as possible. They discuss the evaluation of Lebesgue-Stieltjes integrals in detail, as well as the standard convergence theorems, and conclude with a brief discussion of multivariate integrals and surveys of L spaces plus some applications. The whole is rounded off with exercises that extend and illustrate the theory, as well as providing practice in the techniques.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2000
• Langue: anglais
• ISBN 10: 0387950125
• ISBN 13: 9780387950129
• Reliure: Relié
• Nombre de pages: 239
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne