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Edward B. Burger and Robert Tubbs
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Edward B. Burger: Williams College, Department of Mathematics
Robert Tubbs: University of Colorado at Boulder, Department of Mathematics

Chapter Number 1 in Making Transcendence Transparent, 2004, pp 9-26 from Springer

Abstract: Abstract As we begin our journey into the theory of transcendental numbers, we are immediately faced with a nearly insurmountable obstacle: A transcendental number is defined not by what it is but rather by what it is not. What will become apparent as we develop the classical theory of transcendental numbers is that every demonstration of the transcendence of a particular number is indirect—a number is shown to be transcendental by showing that it is not algebraic.

Keywords: Rational Number; Rational Approximation; Algebraic Number; Minimal Polynomial; Decimal Digit (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-4114-8_2

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DOI: 10.1007/978-1-4757-4114-8_2

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