Abstract
The set of real numbers, whose existence is taken for granted, is described as an ordered field that satisfies the Least Upper Bound Axiom. Complex numbers are introduced, and their basic algebraic properties are discussed. The argument of a complex number is, however, left until later.
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© 1997 Springer Science+Business Media New York
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Beardon, A.F. (1997). Real and Complex Numbers. In: Limits. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0697-2_2
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DOI: https://doi.org/10.1007/978-1-4612-0697-2_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6872-7
Online ISBN: 978-1-4612-0697-2
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