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==External links== {{wikisource|de:David Hilbert Gesammelte Abhandlungen Erster Band – Zahlentheorie/Kapitel 1|Über die Transzendenz der Zahlen {{mvar|e}} und {{mvar|π}}. (in German)}} <!-- victim of a past cut-and-paste error --- 602440|Transcendental number (mathematics)} --> * {{MathWorld |title=Transcendental Number |id=TranscendentalNumber}} * {{MathWorld |title=Liouville Number |id=LiouvilleNumber}} * {{MathWorld |title=Liouville's Constant |id=LiouvillesConstant}} * {{cite web |title=Proof that {{mvar|e}} is transcendental |language=en |website=planetmath.org |url=http://planetmath.org/EIsTranscendental }} * {{cite web |title=Proof that the Liouville constant is transcendental |language=en |website=deanlmoore.com |url=https://deanlmoore.com/liouvilles-proof |access-date=2018-11-12 }} * {{cite conference |author=Fritsch, R. |date=29 March 1988 |publication-date=1989 |title=Transzendenz von {{mvar|e}} im Leistungskurs? |lang=de |trans-title=Transcendence of {{mvar|e}} in advanced courses? |conference=Rahmen der 79. Hauptversammlung des Deutschen Vereins zur Förderung des mathematischen und naturwissenschaftlichen Unterrichts [79th Annual, General Meeting of the German Association for the Promotion of Mathematics and Science Education] |journal=Der mathematische und naturwissenschaftliche Unterricht |volume=42 |pages=75–80 (presentation), 375–376 (responses) |place=Kiel, DE |via=[[University of Munich]] (mathematik.uni-muenchen.de ) |url=http://www.mathematik.uni-muenchen.de/~fritsch/euler.pdf |archive-url=https://web.archive.org/web/20110716060646/http://www.mathematik.uni-muenchen.de/~fritsch/euler.pdf |archive-date=2011-07-16 }} — Proof that {{mvar|e}} is transcendental, in German. * {{cite journal |author=Fritsch, R. |year=2003 |title=Hilberts Beweis der Transzendenz der Ludolphschen Zahl {{mvar|π}} |language=de |journal=Дифференциальная геометрия многообразий фигур |volume=34 |pages=144–148 |via=[[University of Munich]] (mathematik.uni-muenchen.de/~fritsch) |url=http://www.mathematik.uni-muenchen.de/~fritsch/pi.pdf |archive-url=https://web.archive.org/web/20110716060726/http://www.mathematik.uni-muenchen.de/~fritsch/pi.pdf |archive-date=2011-07-16 }} {{Irrational number}} {{Number systems}} {{Number theory}} {{Authority control}} [[Category:Transcendental numbers| ]] [[Category:Articles containing proofs]]
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