Abstract
The field of mathematics known as analysis, of which integration is a part, is characterized by the frequent appeal to limiting processes. The properties of real numbers play a fundamental role in analysis. Indeed, it is through a limiting process that the real number system is formally constructed. It is beyond the scope of this book to recount this construction. We shall, however, discuss some of the properties of real numbers that are of immediate importance to the material that will follow in later chapters.
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© 2000 Springer Science+Business Media New York
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Carter, M., van Brunt, B. (2000). Real Numbers. In: The Lebesgue-Stieltjes Integral. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1174-7_1
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DOI: https://doi.org/10.1007/978-1-4612-1174-7_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7033-1
Online ISBN: 978-1-4612-1174-7
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