Abstract
The mathematician Euler once said, “God made integers, all else is the work of man.” In this chapter, we have advanced in the evolutionary process to the real number system. We partially characterize the real numbers and then, alas, find an imperfection. The quadratic equation x2 + 1 = 0 has no solution.
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© 2006 Birkhäuser Boston
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(2006). Algebraic and Geometric Preliminaries. In: Complex Variables with Applications. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4513-7_1
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DOI: https://doi.org/10.1007/978-0-8176-4513-7_1
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4457-4
Online ISBN: 978-0-8176-4513-7
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