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Rózsa Péter, born Rózsa Politzer, (17 February 1905 – 16 February 1977) was a Hungarian
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
and logician. She is best known as the "founding mother of
recursion theory Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees. The field has sinc ...
".


Early life and education

Péter was born in
Budapest Budapest (, ; ) is the capital and most populous city of Hungary. It is the ninth-largest city in the European Union by population within city limits and the second-largest city on the Danube river; the city has an estimated population o ...
, Hungary, as Rózsa Politzer (Hungarian: Politzer Rózsa). She attended Pázmány Péter University (now
Eötvös Loránd University Eötvös Loránd University ( hu, Eötvös Loránd Tudományegyetem, ELTE) is a Hungarian public research university based in Budapest. Founded in 1635, ELTE is one of the largest and most prestigious public higher education institutions in Hung ...
), originally studying chemistry but later switching to mathematics. She attended lectures by Lipót Fejér and
József Kürschák József Kürschák (14 March 1864 – 26 March 1933) was a Hungarian mathematician noted for his work on trigonometry and for his creation of the theory of valuations. He proved that every valued field can be embedded into a complete valued fie ...
. While at university, she met
László Kalmár László Kalmár (27 March 1905, Edde – 2 August 1976, Mátraháza) was a Hungarian mathematician and Professor at the University of Szeged. Kalmár is considered the founder of mathematical logic and theoretical computer science in Hunga ...
; they would collaborate in future years and Kalmár encouraged her to pursue her love of mathematics. After graduating in 1927, Péter could not find a permanent teaching position although she had passed her exams to qualify as a mathematics teacher. Due to the effects of the
Great Depression The Great Depression (19291939) was an economic shock that impacted most countries across the world. It was a period of economic depression that became evident after a major fall in stock prices in the United States. The economic contagio ...
, many university graduates could not find work and Péter began private tutoring. At this time, she also began her graduate studies.


Professional career and research

Initially, Péter began her graduate research on
number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Ma ...
. Upon discovering that her results had already been proven by the work of Robert Carmichael and L. E. Dickson, she abandoned mathematics to focus on poetry. However, she was convinced to return to mathematics by her friend
László Kalmár László Kalmár (27 March 1905, Edde – 2 August 1976, Mátraháza) was a Hungarian mathematician and Professor at the University of Szeged. Kalmár is considered the founder of mathematical logic and theoretical computer science in Hunga ...
, who suggested she research the work of
Kurt Gödel Kurt Friedrich Gödel ( , ; April 28, 1906 – January 14, 1978) was a logician, mathematician, and philosopher. Considered along with Aristotle and Gottlob Frege to be one of the most significant logicians in history, Gödel had an imm ...
on the theory of incompleteness. She prepared her own, different proofs to Gödel's work. Péter presented the results of her paper on recursive theory, "", to the
International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rena ...
in Zurich, Switzerland in 1932. In the summer of 1933, she worked with Paul Bernays in Göttingen, Germany, for the long chapter on recursive functions in the book that appeared in 1934 under the names of David Hilbert and Bernays. Her main results are summarised in the book and also appeared in several articles in the leading journal of mathematics, the , the first in 1934. Publication was under the name Politzer-Péter as she had changed her Jewish surname Politzer into Péter that same year. For her research, she received her PhD summa cum laude in 1935. In 1936, she presented a paper entitled "" to the
International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rena ...
in Oslo. These papers helped to found the modern field of recursive function theory as a separate area of mathematical research. In 1937, she was appointed as contributing editor of the
Journal of Symbolic Logic The '' Journal of Symbolic Logic'' is a peer-reviewed mathematics journal published quarterly by Association for Symbolic Logic. It was established in 1936 and covers mathematical logic. The journal is indexed by ''Mathematical Reviews'', Zentralb ...
. After the passage of the Jewish Laws of 1939 in Hungary, Péter was forbidden to teach because of her Jewish origin and was briefly confined to a ghetto in Budapest. During World War II, she wrote her book '' Playing with Infinity: Mathematical Explorations and Excursions'', a work for lay readers on the topics of number theory and logic. Originally published in Hungarian, it has been translated into English and at least a dozen other languages. With the end of the war in 1945, Péter received her first full-time teaching appointment at the Budapest Teachers' Training College. In 1952, she was the first Hungarian woman to be made an Academic Doctor of Mathematics. After the College closed in 1955, she taught at Eötvös Loránd University until her retirement in 1975. She was a popular professor, known as "Aunt Rózsa" to her students. In 1951, she published her key work , the first book on modern logic by a female author, later translated into English as ''Recursive Functions''. She continued to publish important papers on recursive theory throughout her life. In 1959, she presented a major paper "" to the International Symposium in Warsaw (later published in two parts in 1961 and 1962). Beginning in the mid-1950s, Péter applied recursive function theory to computers. Her final book, published in 1976, was (Recursive Functions in Computer Theory). Originally published in Hungarian, it was the second Hungarian mathematical book to be published in the Soviet Union because its subject matter was considered indispensable to the theory of computers. It was translated into English in 1981.


Honors

Péter was awarded the
Kossuth Prize The Kossuth Prize ( hu, Kossuth-díj) is a state-sponsored award in Hungary, named after the Hungarian politician and revolutionist Lajos Kossuth. The Prize was established in 1948 (on occasion of the centenary of the March 15th revolution, the ...
in 1951. She received the Manó Beke Prize by the
János Bolyai Mathematical Society The János Bolyai Mathematical Society (Bolyai János Matematikai Társulat, BJMT) is the Hungarian mathematical society, named after János Bolyai, a 19th-century Hungarian mathematician, a co-discoverer of non-Euclidean geometry. It is the profes ...
in 1953, the Silver State Prize in 1970, and the Gold State Prize in 1973. In 1973, she became the first woman to be elected to the
Hungarian Academy of Sciences The Hungarian Academy of Sciences ( hu, Magyar Tudományos Akadémia, MTA) is the most important and prestigious learned society of Hungary. Its seat is at the bank of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. Its ma ...
.


See also

*
Ackermann function In computability theory, the Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable function that is not primitive recursive. All primitive recursive functions are total ...
*
Recursive function theory In mathematical logic and computer science, a general recursive function, partial recursive function, or μ-recursive function is a partial function from natural numbers to natural numbers that is "computable" in an intuitive sense – as well as ...
*
List of pioneers in computer science This is a list of people who made transformative breakthroughs in the creation, development and imagining of what computers could do. Pioneers : ''To arrange the list by date or person (ascending or descending), click that column's small "up-do ...


References

{{DEFAULTSORT:Peter, Rozsa Members of the Hungarian Academy of Sciences Hungarian Jews 20th-century Hungarian mathematicians 1905 births 1977 deaths 20th-century women scientists Austro-Hungarian mathematicians Jewish scientists Eötvös Loránd University alumni Eötvös Loránd University faculty Computability theorists Theoretical computer scientists Mathematicians from Budapest Mathematical logicians Women logicians 20th-century women mathematicians