Gyula Farkas (natural scientist)

Gyula Farkas ( [ ɟula fɒrkɒʃ ], Julius Farkas ) ( born March 28, 1847 in Sárosd, † December 27, 1930 in Pestszentlőrinc ) was a Hungarian physicist and mathematician.

According to him, Farkas ' lemma has been designated a central set in the duality theory of linear programming. Farkas ' lemma is also called "the principle of simple inequalities ".

Biography

Farkas first visited the Benedictine High School in Győr ( Raab ), and went to Budapest with the intention to study law and music. The law school displeased him pretty quickly and for the study of music was lacking (according to eyewitnesses ) the talent. Farkas worked for a time as a lecturer in Budapest, before he returned to the University to study physics and chemistry.

Following a stint as a teacher in high school in Székesfehérvár ( Székesfehérvár ), he taught from 1874, the children of Géza Batthyány, Count of Polgárdi, in mathematics and physics. At last he had time to do research in mathematics and physics, including a furnished for educational purposes physics laboratory. He also received the opportunity to research trips abroad.

Farkas impressive list of publications in Comptes Rendus, the reports of the Paris Academy of Sciences, in 1880 earned him a professorship at the University of Budapest as a lecturer in function theory. In its functional theoretical investigations in particular his contributions to Iterationstheorie be mentioned. So he gave in 1884 conditions for the solvability of Schröder 's functional equation. In January 1887, he was (today Cluj- Napoca ) appointed ( extraordinary) professor at the University of Kolozsvár, in the following year he became a full professor. The Hungarian Academy of Sciences elected him on May 6, 1898 as a member. During his career at the University of Kolozsvár was Farkas times as dean and later as rector.

In 1915, Farkas was due to its strong diminishing eyesight to retire. After the death of his first wife Farkas had remarried. But his second wife died before 1915, and so lived Farkas the remaining 15 years of his retirement alone until he retired a few months before his death to relatives. Farkas died on December 27, 1930 in Pestszentlőrinc.

Mathematical Publications

Farkas most important works can be found in the reports of the Academy of Sciences of Paris (1878-1884)

• In the " Archives of mathematics and physics "
• In the "Journal of Mathematiques "

His works are published separately

• " The diatomic Major Scale", Budapest, 1870
• " Termeszettan Elemei " (Elements of Physics ), ib. 1872

Swell

• B. Szénássy, History of Mathematics in Hungary until the 20th Century (Berlin -Heidelberg - New York, 1992).
• L. Filep, Life and work of Gyula Farkas (1847-1930), Boll. Storia Sci. Mat 3 (1 ) ( 1983), 137-160.
• Daniel S. Alexander: A history of complex dynamics: from Schröder to Fatou and Julia. ( Aspects of Mathematics ), Vieweg, Braunschweig, 1994, ISBN 3-528-06520-6. Section 2.6 discusses Farkas ' contribution.