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Corpus [[numerus rationalis|numerorum rationalium]] non est plenum: polynomium <math>x^2 - 2</math> nullam radicem hoc in corpore habet. Nec corpus [[numerus realis|realium]]: <math>x^2 + 4</math> nullam radicem realem habet. Corpus [[numerus algebraicus|numerorum algebraicorum]] autem plenum est, per definitionem.
 
Corpus numerorum complexorum non modo plenum [[algebra|algebraicum]] verum etiam plenum [[spatium]] [[topologia|topologicum]] spatium est.
 
==Bibliographia==
*Remmert, Reinhold. [[1991]]. The Fundamental Theorem of Algebra. In ''Numbers,'' ed. Heinz-Dieter Ebbinghaus, Hans Hermes, et Friedrich Hirzebruch. Graduate Texts in Mathematics 123. Berolini: Springer-Verlag. ISBN 978-0-387-97497-2.
*Shipman, Joseph. [[2007]]. Improving the Fundamental Theorem of Algebra. ''Mathematical Intelligencer'' 29(4): 9–14, ISSN 0343-6993. doi:10.1007/BF02986170.
*Smale, Steve. [[1981]]. The Fundamental Theorem of Algebra and Complexity Theory. ''Bulletin of the American Mathematical Society'' series nova, 4(1).
*Smith, David Eugene. [[1959]] ''A Source Book in Mathematics.'' Dover. ISBN 0-486-64690-4.
 
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