What is recorded here?
Proved approximation bounds for algebraic irrational numbers and used them to exhibit broad classes of numbers that are neither rational nor algebraic.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record treats Liouville's linked Comptes rendus notes of 13 and 20 May 1844 as one tightly bounded achievement. It does not absorb his 1851 synthesis, later named Liouville constants or subsequent transcendence theorems.
Read the original work
- French Academy archive for 1844 Comptes rendus
- BibNum scholarly analysis and translation of Liouville 1844
This English explanation is an editorial reading view. It does not replace the complete original work or certify its science.
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People and systems
Joseph Liouville
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
Research locations and affiliations
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Documented countries / regions: France
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English catalogue narrative
Liouville: 1844 notes establishing transcendental numbers
Proved approximation bounds for algebraic irrational numbers and used them to exhibit broad classes of numbers that are neither rational nor algebraic.
Scientific scope
The record treats Liouville's linked Comptes rendus notes of 13 and 20 May 1844 as one tightly bounded achievement. It does not absorb his 1851 synthesis, later named Liouville constants or subsequent transcendence theorems.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Joseph Liouville
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.