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1-Dimensional Riemann-Stieltjes Integral

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Essential Mathematics for Applied Fields

Part of the book series: Universitext ((UTX))

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Abstract

Although the familiar Riemann Integral is sufficient for a wide variety of problem solving-purposes in Applied Mathematics, a generalization of it, known as the Riemann-Stieltjes Integral, must be called upon in many situations. In the present Section we shall develop what is termed a 1-dimensional Riemann-Stieltjes Integral, first with respect to a 1-dimensional c.d.f., then, more generally, with respect to b.v.f.

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References to Additional and Related Material: Section 9

  1. Bartle, R., “The Elements of Integration”, John Wiley and Sons, Inc. (1966).

    Google Scholar 

  2. Brand, L., “Advanced Calculus”, Wiley and Sons, Inc. (1958).

    Google Scholar 

  3. Cramer, H., “Mathematical Methods of Statistics”, Princeton University Press (1958).

    Google Scholar 

  4. Gunther, N., “Sur les Intégrales de Stieltjes”, Chelsea Publishing Company (1949).

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  5. Henstock, R., “Theory of Integration”, Butterworths (1963).

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  6. Hobson, E., “Theory of Functions of a Real Variable”, Vol. I, Dover Publications, Inc.

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  7. Kestelman, K., “Modern Theories of Integration”, Dover Publications, Inc.

    Google Scholar 

  8. Pesin, I., “Classical and Modern Integration Theories”, Academic Press (1970).

    Google Scholar 

  9. Zaanen, A., “An Introduction to the Theory of Integration”, North-Holland Publishing Co. (1958).

    Google Scholar 

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© 1979 Springer-Verlag New York Inc.

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Meyer, R.M. (1979). 1-Dimensional Riemann-Stieltjes Integral. In: Essential Mathematics for Applied Fields. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8072-6_9

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  • DOI: https://doi.org/10.1007/978-1-4613-8072-6_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90450-4

  • Online ISBN: 978-1-4613-8072-6

  • eBook Packages: Springer Book Archive

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