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.
Achievements
- Notable work: non-Euclidean geometry
- Held posts at Imperial Austrian Army
- Fields: geometry, non-Euclidean geometry and mathematics



