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"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 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 L[superscript p] spaces and some applications.
Exercises, which extend and illustrate the theory, and provide practice in techniques, are included."--BOOK JACKET.
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Lebesgue integral, Measure theoryEdition | Availability |
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1
The Lebesgue-Stieltjes integral: a practical introduction
2000, Springer
in English
0387950125 9780387950129
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With 45 Illustrations
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