The Definite Integral

E. Mahmudov ()
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E. Mahmudov: Istanbul Technical University

Chapter Chapter 9 in Single Variable Differential and Integral Calculus, 2013, pp 259-334 from Springer

Abstract: Abstract In this chapter we define Newton’s and Riemann’s integrals. We investigate the conditions under which they are equal. Necessary and sufficient conditions for the existence of the Riemann integral are formulated in terms of a partition of a given interval of the real line.

Keywords: Rational Number; Open Interval; Open Covering; Measure Zero; Countable Union (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-91216-86-2_9

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DOI: 10.2991/978-94-91216-86-2_9

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