The Lebesgue-Stieltjes Integral. - A Practical Introduction

B Van Brunt

,

M Carter

Note moyenne 
B Van Brunt et M Carter - The Lebesgue-Stieltjes Integral. - A Practical Introduction.
Mathematics students generally are introduced to the Riemann integral early in their undergraduate studios; then at the advanced undergraduate or graduate... Lire la suite
64,15 € Neuf
Expédié sous 3 à 6 jours
Livré chez vous entre le 25 avril et le 30 avril
En librairie

Résumé

Mathematics students generally are introduced to the Riemann integral early in their undergraduate studios; then at the advanced undergraduate or graduate level they receive a course on measure and integration dealing with the Lebesgue theory. However, those whose interests lie more in the direction of applied mathematics, will in all probability find themselves needing to use the Lebosgue or Lebesgue-Stieltjes integral without having the necessary theoretical background. It is to such readers that this book is addressed. The authors aim to introduce the Lebesgue-Stieltjes integral on the real line in a neural way as an extension of the Riemann integral. They made the treatment as practical as possible. The evaluation of Lebesgue- Stieltjes integrals is discussed in detail, as are the key theorems of integral calculus as well as the standard convergence theorems. The book then concludes with a brief discussion of multivariate integrals and surveys of Lp spaces and some applications. Exorcises, which extend and illustrate the theory, and provide practice in techniques, are included.

Sommaire

    • Real numbers
    • Some analytic preliminaries
    • The Riemann integral
    • The Lebesgue-Stieltjes integral
    • Properties of the integral
    • Integral calculus
    • Double and repeated integrals
    • The Lebesgue spaces Lp
    • Hilbert spaces and L²

Caractéristiques

  • Date de parution
    12/07/2000
  • Editeur
  • Collection
  • ISBN
    0-387-95012-5
  • EAN
    9780387950129
  • Présentation
    Relié
  • Nb. de pages
    228 pages
  • Poids
    0.495 Kg
  • Dimensions
    16,0 cm × 24,2 cm × 1,6 cm

Avis libraires et clients

Avis audio

Écoutez ce qu'en disent nos libraires !

À propos des auteurs

Michael Carter and Bruce van Brunt are senior lecturers in mathematics at Massey University, Palmerston North, New Zealand. Michael Carter obtained his Ph.D. at Massey University in 1976. He has research interests in control theory and differential equations, and has many years of experience in teaching analysis. Bruce van Brunt obtained his D.Phil. at the University of Oxford in 1989. His research interests include differential geometry, differential equations, and analysis. His publications include applications of the Henstock integral to ordinary and partial differential equations.

Derniers produits consultés

64,15 €