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Sobre los números algebraicos, irracionales y trascendentes

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Sobre los números algebraicos, irracionales y trascendentes

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Son o no solución de ecuaciones polinomiales

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In 1882, Ferdinand von Lindemann published a proof that the number π is transcendental. He first showed that is transcendental when a is algebraic and not zero. Then, since is algebraic (see Euler's identity), π must be transcendental. This approach was generalized by iπ and therefore Karl Weierstrass to the Lindemann-Weierstrass theorem.

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Weisstein, Eric W. "Irrational Number." From MathWorld--A Wolfram Web Resource.

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Irrational Number -- from Wolfram MathWorld

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Alphabetical Index Interactive Entries Random Entry New in MathWorld

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Mucho más concreta

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Apparently Hippasus (one of Pythagoras' students) discovered irrational numbers when trying to write the square root of 2 as a fraction (using geometry, it is thought). Instead he proved the square root of 2 could not be written as a fraction, so it is irrational.

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Historia, antecedentes

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In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.