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Bolyai was born in Bolya , a town near Nagyszeben (today Sibiu) in Transsylvania. Farkas was taught at home by his father until the age of six years when he was sent to the Calvinist school in Nagyszeben. His teachers immediately recognised his talents in arithmetcs and in learning languages. With 12 years he left school and was appointed as a tutor to the eight year old son of the count Kemény. This meant that Bolyai was now treated as a member of one of the leading families in the country, and he became not only a tutor but a real firend to the count's son. In 1790 Bolyai and his pupil both entered the Calvinist College in Kolozsvár where they spent five years.
The professor of philosophy at the College in Kolozsvár tried to turn Bolyai against mathematics and towards religious philosophy. Bolyai, however, decided to go abroad with Simon Kemény on an educational trip in 1796 and began to study mathematics systematically at German universities first in Jena and then in Göttingen.
He returned home to Kolozsvár and later to Marosvásárhely in 1799. It was there he met and married Zsuzsanna Benkö and where their son János Bolyai - later an even more famous mathematician than his father - was born in 1802Events March 16 West Point is established. March 25/ 27 Treaty of Amiens between France and United Kingdom ends the War of the Second Coalition. March 28 H. Olbers discovers the asteroid Pallas. May 19 Napoleon Bonaparte establishes the French legion d'ho.
Bolyai's main interests were the foundations of geometryGeometry is the branch of mathematics dealing with spatial relationships. From experience, or possibly intuitively, people characterize space by certain fundamental qualities, which are termed axioms in geometry. Such axioms are insusceptible to proof, bu and the parallelThe term Parallel has a number of important meanings: Parallel (geometry) occurs in geometry. If two lines or planes are parallel, then every point on one is located exactly the same minimum distance from the other line or plane. A parallel is a circle of axiomFor the algebra software named Axiom, see Axiom (algebra software). For the 1970s Australian rock music group, see Axiom (band). In epistemology, an axiom is a self-evident truth upon which other knowledge must rest, from which other knowledge is built up.
His main work, the Tentamen, was an attempt at a rigorous and systematic foundation of geometry, arithmetic, algebra and analysis. In this work, he gave iterative procedures to solve equations which he then proved convergent by showing them to be monotonically increasing and bounded above. His study of the convergenceConvergence means approaching a definite value, as time goes on; or approaching a definite point, or a common view or opinion, or a fixed state of affairs. A common sense example of convergence is in bargaining a price in an informal market. For example, of series includes a test equivalent to Raabe's test , which he discovered independently and at about the same time as Raabe . Other important ideas in the work include a general definition of a function and a definition of an equality between two planePlane may refer to: An Aeroplane or airplane a type of fixed-wing aircraft. A mathematical plane a theoretical surface which has infinite width and length, zero thickness, and zero curvature. Plane trees of the genus Platanus native in the Northern Hemisp figures if they can both be divided into a finite equal number of pairwise congruent pieces.
He first dissuaded his son from the study of non-Euclidean geometry, but by 1830 he became enthusiastic enough to persuade his son to publish his way-breaking thoughts.
Bolyai Bolyai Bolyai, Farkas Bolyai, Farkas| Politics | Business | Finance |
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