I have an interest irrational numbers and want to understand them. Is there a specific field for it?
2026-02-23 04:22:01.1771820521
Is there a field of math dedicated to understanding irrational numbers
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Short answer: no, understanding irrational numbers is not a topic studied as a branch of mathematics.
Many (elementary) texts discuss the cardinality of the set of irrationals (there are more of them than rationals) and ways to find some (infinite decimals that don't repeat, approximating irrationals by rationals ).
There are open questions about particular numbers - for example, we suspect but don't know that $e^{\pi}$ is irrational. Those questions are often deep and difficult.