Transcendental numbers cannot be expressed by a finite algebraic equation. They include famous constants such as pi and e and most irrational numbers. Transcendental numbers have challenged mathematicians for centuries, and their properties and applications are still being explored. Transcendental numbers are the hidden gems of mathematics.

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Recounting the History of Math’s Transcendental Numbers | Quanta Magazine

Transcendental numbers include famous examples like e and π, but it took mathematicians centuries to understand them.

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Does pi exist?

Answer (1 of 14): To almost everyone this would seem a ridiculous question. Even to most mathematicians the existence of Pi (defined here as the ratio of a circle’s circumference to it’s diameter) is taken for granted. But the question of the existence of the class of number to which Pi belongs i...

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Why π^π^π^π could be an integer (for all we know!).

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