The Foundations of Analysis

O. A. Ivanov
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O. A. Ivanov: St. Petersburg State University, Department of Mathematics and Mechanics

Chapter Chapter 10 in Easy as π?, 1999, pp 155-175 from Springer

Abstract: Abstract The concepts of a natural and of a whole number (integer), or, more accurately, of the sets of natural and of whole numbers, were precisely defined in Chapter 1. The present, final, chapter is devoted to the concept fundamental to mathematical analysis, namely the set ℝ of real numbers. As a preliminary to grappling with the real numbers, we give a precise definition of the rational numbers.

Keywords: Equivalence Class; Rational Number; Cauchy Sequence; Full Order; Infinitesimal Element (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0553-1_10

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DOI: 10.1007/978-1-4612-0553-1_10

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