Abstract
Having worked through the basic theory of the integral, we now turn to the actual techniques of integral calculus, that is, the practicalities of evaluating and manipulating Lebesgue-Stieltjes integrals. The emphasis here will be on understanding and applying the results. For this reason, the proofs of most the results stated in this chapter will be suppressed. The results are standard to the theory, and their proofs can be found in most texts on integration (e.g., [31], [32], [38]). It should be noted, however, that many of these proofs pose a technical demand on the reader greater than what has been expected so far in this text.
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© 2000 Springer Science+Business Media New York
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Carter, M., van Brunt, B. (2000). Integral Calculus. In: The Lebesgue-Stieltjes Integral. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1174-7_6
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DOI: https://doi.org/10.1007/978-1-4612-1174-7_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7033-1
Online ISBN: 978-1-4612-1174-7
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