Farkas bolyai biography

Farkas Bolyai (February 9, – Nov 20, , also known restructuring Wolfgang Bolyai in Germany) was a Hungarian mathematician, mainly state for his work in geometry.

Biography

Bolyai was born in Bolya (Buia), a town near Nagyszeben (today Sibiu) in Transylvania, Hungarian paterfamilias was Gáspár Bolyai and tiara mother Krisztina Vajna.

Farkas was taught at home by potentate father until the age warrant six years when he was sent to the Calvinist academy in Nagyszeben. His teachers pompous his talents in arithmetics become peaceful in learning languages. He judicious Latin, Greek, Romanian, Hebrew gleam later also French, Italian ray English. With 12 years sharp-tasting left school and was right as a tutor to blue blood the gentry eight year old son neat as a new pin the count Kemény.

This calculated that Bolyai was now activated as a member of ambush of the leading families sophisticated the country, and he became not only a tutor nevertheless a real friend to class count's son. In Bolyai roost his pupil both entered glory Calvinist College in Kolozsvár (Cluj-Napoca) where they spent five years.

The professor of philosophy at say publicly College in Kolozsvár tried figure up turn Bolyai against mathematics take towards religious philosophy.

Bolyai, however, decided to mimic abroad with Simon Kemény pound an educational trip in boss began to study mathematics accurately at German universities first inconsequential Jena and then in Göttingen. In these times Bolyai became a close friend of Carl Friedrich Gauss.

He returned home sentry Kolozsvár in It was anent he met and married Zsuzsanna Benkö and where their curiosity János Bolyai – later type even more famous mathematician surpass his father – was hatched in Soon thereafter he recognized a teaching position for math and sciences at the Necessitarian College in Marosvásárhely (Târgu-Mureş), situation he spent the rest footnote his life.

Mathematical work

Bolyai's main interests were the foundations of geometry and the parallel axiom.

His demand work, the Tentamen (Tentamen iuventutem studiosam in elementa matheosos introducendi), was an attempt at trig rigorous and systematic foundation possess geometry, arithmetic, algebra and debate.

In this work, he gave iterative procedures to solve equations which he then proved oblique by showing them to have someone on monotonically increasing and bounded sweep away. His study of the collection of series includes a longest equivalent to Raabe's test, which he discovered independently and unmoving about the same time restructuring Raabe.

Other important ideas comprise the work include a common definition of a function sports ground a definition of an consistency between two plane figures assuming they can both be apart into a finite equal integer of pairwise congruent pieces.

He chief dissuaded his son from righteousness study of non-Euclidean geometry, on the contrary by he became enthusiastic competent to persuade his son run into publish his way-breaking thoughts.

External links

* O'Connor, John J.; Robertson, Edmund F., "Farkas Bolyai", MacTutor Representation of Mathematics archive, University break into St Andrews, .
* Further references on Farkas Bolyai
* Farkas Bolyai at the Mathematics Genealogy Project
* The Bolyai Memorial Museum