Abstract
The set ℝ of all real numbers can be characterized by axioms. (The real numbers can also be constructed by successively extending the domains of the natural numbers ℕ, the integers ℤ, and the rational numbers ℚ. We cannot go into this approach.)
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Bronshtein, I.N., Semendyayev, K.A. (1998). Analysis. In: Handbook of Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21982-9_3
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DOI: https://doi.org/10.1007/978-3-662-21982-9_3
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