Liouville's Constant is Transcendental/Historical Note
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Historical Note on Liouville's Constant is Transcendental
Liouville's constant was proved to be transcendental by Joseph Liouville in $1844$ as a demonstration that there exist real numbers which are provably transcendental.
This was the simplest of several such numbers that he constructed.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $0 \cdotp 11000 10000 00000 00000 00010 00000 00000 00000 0 \ldots$
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.29$: Liouville ($\text {1809}$ – $\text {1882}$)
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $0 \cdotp 11000 \, 10000 \, 00000 \, 00000 \, 00010 \, 00000 \, 00000 \, 00000 \, 0 \ldots$