Understanding Transcendental Numbers: History and Significance in Mathematics
By
vismit2000
The bagel they save for the regulars. Don't skim, savour.
Summary
The article explores transcendental numbers in mathematics, explaining that while there are more transcendental numbers than algebraic ones, only a few classes are widely known and proving a number is transcendental is difficult. It highlights key historical milestones: Joseph Liouville first proved the existence of transcendental numbers in 1844, Charles Hermite proved e is transcendental in 1873, and Ferdinand von Lindemann proved π is transcendental in 1882. The content emphasizes the mysterious nature of these numbers and their significance in mathematics.
Key quotes
· 5 pulledI am in love with the mysterious transcendental numbers.
Did you know that there are 'more' transcendental numbers than the more familiar algebraic ones?
Even so, only a few classes of transcendental numbers are widely known to humans, and it's very difficult to prove that a particular number is transcendental.
In 1844, math genius Joseph Liouville (1809-1882) was the first to prove the existence of transcendental numbers.
Hermite proved that the number e was transcendental in 1873. Lindeman proved that pi was transcendental in 1882.
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