The Lebesgue-Stieltjes Integral : A Practical Introduction

Language: English

Published by Springer, 2012

1461270332 / 9781461270331

Series: Book 109 of 170 - Undergraduate Texts in Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - Mathematics students generally meet the Riemann integral early in their undergraduate studies, then at 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 Lebesgue 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 natural way as an extension of the Riemann integral. They have tried to make 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 ok L^p spaces and some applications. Exercises, which extend and illustrate the theory, and provide practice in techniques, are included. 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.…

Seller Inventory # 9781461270331

Title
The Lebesgue-Stieltjes Integral : A Practical Introduction
Author
M. Carter
Publisher
Springer
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1461270332
ISBN 13
9781461270331
Item weight
376 grams
Dimensions
235x155x14 mm
Series
Book 109 of 170: Undergraduate Texts in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

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