János Bolyai

Hungarian mathematician (1802–1860)

In the history of mathematics, János Bolyai is one of the names that keeps returning.

The record lists János Bolyai as Hungarian mathematician (1802–1860).

János Bolyai was born at Cluj-Napoca in 1802. His recorded nationality is Austria. He studied at Theresian Military Academy and Reformed School, Târgu Mureș.

The nineteenth century made mathematics rigorous: definitions were tightened, foundations questioned, and whole fields created from scratch.

His academic posts were held at Imperial Austrian Army.

The recorded fields of work are geometry, non-euclidean geometry and mathematics.

His principal contribution is non-Euclidean geometry. Mathematical work is judged by whether anyone can build on it, and that judgement takes decades.

That the work was done from Austria matters: mathematical training, institutions and the language of publication have never been evenly distributed.

János Bolyai died in 1860, aged 58. The proofs remain, and a proof does not decay - which is the particular permanence mathematics offers.

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