The Lebesgue-Stieltjes Integral: A Practical Introduction (Undergraduate Texts in Mathematics)

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9780387950129: The Lebesgue-Stieltjes Integral: A Practical Introduction (Undergraduate Texts in Mathematics)
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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.

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9781461270331: The Lebesgue-Stieltjes Integral: A Practical Introduction (Undergraduate Texts in Mathematics)

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ISBN 10:  1461270332 ISBN 13:  9781461270331
Publisher: Springer, 2012
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9781461211754: The Lebesgue-Stieltjes Integral: A Practical Introduction

Springer, 2011
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Book Description Springer-Verlag New York Inc., United States, 2000. Hardback. Condition: New. 2000 ed.. Language: English. Brand new Book. 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. Seller Inventory # APC9780387950129

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