Abstract
The proof of the existence of the integral is best postponed until we have the language of normed vector spaces and uniform approximation. However, it is convenient to have the elementary integral available for examples, and exercises, and we need only know its properties, which can be conveniently summarized axiomatically.
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© 1983 Springer Science+Business Media New York
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Lang, S. (1983). The Elementary Real Integral. In: Undergraduate Analysis. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1801-0_6
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DOI: https://doi.org/10.1007/978-1-4757-1801-0_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-1803-4
Online ISBN: 978-1-4757-1801-0
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