Andrzej Bernard Turowicz


Quick Info

Born
28 October 1904
Przeworsk, Galicia, Austrian Empire (now Poland)
Died
24 November 1989
Tyniec, Kraków, Poland

Summary
Andrzej Turowicz was a Polish mathematician and Catholic priest. He wrote mathematical papers on a wide range of topics. He had an incredible memory and a gift of storytelling, so he gave anecdotes about his fellow mathematicians.

Biography

Andrzej Turowicz took the name Bernard when he entered the Benedictine Order in 1945 and is often known as Andrzej Bernard Turowicz. He was the son of August Turowicz (1875-1960) and Klotylda Turnau (1881-1979). August Turowicz was a judge, a legal advisor of "Ilustrowany Kurier Codzienny", and an activist of Catholic Action. He married Klotylda in 1903 and they had eight children: Andrzej Turowicz (1904-1989), the subject of this biography; Juliusz Turowicz (1906-1995); Anna Turowicz (1909-2004); August Turowicz (1910-?); Jerzy Turowicz (1912-1999); Olawia Turowicz (1916-2001); and Krystyna Turowicz (1920-2007). Let us note that Juliusz Turowicz became a Roman Catholic priest, a doctor of theology, and a professor at the Pontifical Academy of Theology in Kraków. Jerzy Turowicz became a leading Roman Catholic journalist and editor of the Catholic weekly magazine Tygodnik Powszechny from 1945.

Andrzej Turowicz began his education by being home schooled. He then became a pupil at the King Jan III Sobieski 2nd Gymnasium in Kraków. The school had been founded in 1883 as a tribute to King Jan III Sobieski on 200th anniversary of his victory over the Ottomans at the Battle of Vienna. At this school Turowicz excelled in all his subjects but for him mathematics was special and, after taking his 'matura' examination in 1922, later that year he began his studies of mathematics in the Philosophy Faculty of the Jagiellonian University in Kraków. At the University he attended lectures given by Ivan Śleszyński, Witold Wilkosz, Stanisław Zaremba, Antoni Hoborski, and Alfred Rosenblatt (1880-1947). Rosenblatt had been born in Kraków and was awarded a Ph.D. by the Jagiellonian University in 1908. He became an expert in algebraic geometry and, after further study at Göttingen, was appointed as a docent at the Jagiellonian University; he was promoted to become a lecturer in 1920.

In 1928 Turowicz was awarded a Master's Degree. He said [15]:-
I was the first in Kraków to get the master's diploma. When I enrolled at the university, one could pursue the old course, pre-master. I decided to do the master's degree. The second master in mathematics in Kraków was Stanisław Turski. He was two years younger than I. Zofia Czarkowska (currently Mrs Krygowska) was at the university along with me. I had a gifted classmate, Stefan Rosental, who however later became a physicist and finished his career as a vice-director of the Bohr Institute in Copenhagen.
After the award of the Master's Degree, Turowicz remained in Kraków where he studied for his qualification to teach in secondary schools. In addition to his studies, he served as an assistant to the Chair of Mathematics at the Academy of Mining in Kraków in 1929-30. This position had been held by Stanisław Gołąb but became free when Gołąb received a scholarship to study under Jan A Schouten at Delft in Holland. Turowicz was awarded the teaching qualification in 1931 and taught at schools in Kraków and Mielec which is about 130 km east of Kraków. In 1937 he was appointed as an assistant to Antoni Łomnicki at Lwów Polytechnic. He explained how this appointment came about [15]:-
After the Jędrzejewicz Brothers reform [introduced in 1932], Antoni Łomnicki submitted a geometry textbook for high schools. The Ministry gave me this text for refereeing, as I taught in high schools in Kraków. I did a very detailed report; I went over all the problems, I wrote which ones were too difficult. The author was anonymous, but I guessed it was Łomnicki. I remembered his geometry and trigonometry textbooks from Austrian times. However, the referees' names were made known to the author. When he read my report, Łomnicki sent me an offer to become an adjunct. He wanted to bring me where he was because of this report.
During his time in Lwów, Turowicz was influenced by Stefan Banach, Hugo Steinhaus, Antoni Łomnicki and Stanisław Mazur. Banach spoke about Łomnicki (see [7]):-
A native of Lwów, Łomnicki worked for over twenty years as a mathematics professor at the Lwów University of Technology. He prepared hundreds of engineers for their profession. I was his assistant. He was the first to instil in me the importance and responsibility of a professor's task. He was an unrivalled educator, one of the best I ever knew.
Turowicz, like Banach, learnt much from Łomnicki. He also joined Mazur in a research project [3]:-
I even worked with Mazur. We wrote one paper together, which was never published. It was in spring 1939. When we finished it I asked Mazur to give me the manuscript and suggested that I would translate it into French for publication. He answered that perhaps we would have some better ideas and kept the paper.
Wiesław Zelazko writes in [17]:-
Mazur invited Turowicz for ... a collaboration in Banach algebras. The collaboration started in the fall of 1938 and by April 1939 they obtained several (over 20) results, one of them now known as the Stone-Weierstrass theorem. A suitable paper was written by Turowicz and handed to Mazur for publication, but it was never published. The author has heard a rumour that Mazur and Turowicz had the Stone-Weierstrass theorem before Stone, and asked Turowicz about it. In response he obtained a long letter, asking not to publish it before Turowicz's death.
After Turowicz's death his long letter was published in Polish as [13]. Here are some excerpts:-
The discussion was useless in view of Mazur's habit of not publishing the results immediately. ... In 1940 I learned that the next volume of Studia Mathematica will appear, the only one published during the war. I asked Mazur whether we could include our paper there, but he answered that the volume was already closed and there was no more space. In 1941, after taking up Lwów by Germans, I left for Kraków and lost contact with Mazur.
Also in Lwów at this time was Władysław Orlicz and Juliusz Schauder. Turowicz began working with Orlicz on a problem that they hoped to solve but the start of World War II in 1939 put an end to their collaboration. Turowicz spoke about Juliusz Schauder in [3]:-
Schauder was there, too. We talked together; he was a brilliant mathematician, but I think it was very difficult to work with him.
When World War II began with the German invasion of Poland on 1 September 1939, Polish troops prepared to defend Lwów. After heavy fighting between the Germans and the Poles, Soviet troops also began to attack the city. Hitler ordered the German troops to withdraw and let the Soviets occupy Lwów. On 22 September the Poles surrendered to the Soviets and the Soviet occupation began. The Soviet occupiers reorganised the polytechnics and made Ukrainian the language of instruction. Turowicz remained in Lwów and taught mathematics, first at the Faculty of Architecture and then at the Faculty of Mechanics. In 1941 he left Lwów when it was occupied by German troops and returned to Kraków.

Kraków had been occupied by the Germans in 1939. They had closed all high schools and higher education establishments. Back in Kraków, Turowicz worked as a clerk in the Chamber of Industry and Commerce until the Red Army occupied the city in January 1945. In addition to this official work, he took part in the underground university which secretly educated Poles. He taught analytic geometry to these students, often in private houses. This was an extremely risky thing to do and it is remarkable that Turowicz and so many other academics were prepared to risk their lives in clandestine teaching. The Polish Mathematical Society was unable to operate during the war, but members of the Society would continue to meet in secret. Turowicz took part in the secret meetings of the Society in Kraków.

The Red Army occupied Kraków on 18 January 1945 and, on the following day, Turowicz went to the Benedictine Abbey in Tyniec on the outskirts of Kraków. He explained in [3] why he decided to take holy orders:-
I was always a believing Christian and a practising Catholic, but before the war I never thought about taking the holy orders and becoming a priest. My decision was made because during the war I witnessed hellish wickedness and dreadful crimes. My reaction was the decision to become a friar and a priest. During the war nothing bad happened to me, so it was not a reaction to anything that had hurt me personally. I definitively made up my mind in autumn 1941. In 1942 I turned up at the monastery, but because of some technical problems I could not be accepted before the Germans left Kraków in January 1945. Then I was sure that my connections with mathematics had ended.
On 29 January 1945 Turowicz entered the Benedictine order and took the name Bernard. He studied theology in 1946-50 and was ordained as a priest in 1949. While he was studying to become a priest, however, he was teaching mathematics at the University in Kraków. He explained how this came about despite the fact that he had thought in 1945 he would never be involved with mathematics again [3]:-
... in spring 1946, Tadeusz Ważewski came to the monastery and said that he desperately needed a lecturer at the Jagiellonian University and he wanted me. I answered that I did not have anything to say, the person who decided about everything here was our Father Superior. So he spoke to the prior and the prior told me: "If they need you, you have no right to refuse." Thus I started lecturing at the university again. The Benedictines are obliged to work, but nothing is said about what kind of work it must be. I became a mathematician from the beginning, I was publishing, so I was not engaged in priesthood. I was saying mass here, reciting my breviary, and I had other duties, but I had no parish. This is what it was like: I was a friar, a priest, and a mathematician simultaneously ...
Ważewski insisted that Turowicz submit a thesis for a Ph.D. Already in the spring of 1939 Turowicz had answered a question that had been posed by Banach and lectured on it at a meeting of the Polish Mathematical Society. To see how Banach reacted to this talk, see THIS LINK.

After he returned to mathematics in 1946, Turowicz finished the work and presented On continuous and multiplicative functionals as his Ph.D. thesis. Ważewski, who was his official advisor, wrote in his report:-
Turowicz's thesis shows evidence of deep mathematical culture and revealed the rare philosophical sense of its author in treating a problem.
He published his thesis as the paper Sur les fonctionnelles continues et multiplicatives (1948).

Czesław Olech, when a first year student, attended Turowicz's lectures on algebra in 1949. He wrote [9]:-
He commuted for our lectures from the monastery in Tyniec near Kraków, where he resided. He almost dashed into the lecture room, made the sign of the cross and filled the blackboard with legible text. If someone could take exact notes of it - and there were women in the class who could - then we had a 'textbook' for the exam.
Turowicz's joint paper with Mazur which had never been published surfaced in the early 1950s [13]:-
At the beginning of the fifties Mazur told Ważewski that he had found our manuscript, and Ważewski repeated the news to me. Then I wrote to Mazur, suggesting that some of our results could still be published, and asked him to send me the manuscript, so that I could see which results are not yet published and prepare a suitable publication. Of course, I knew that the priority with respect to the generalisation of the Weierstrass theorem belongs now to Stone. Mazur never answered my letter; I was not surprised knowing that he had a habit of not answering letters. I regret not having published the "Weierstrass-Stone" theorem, but what can be done about it, it's lost. I know that after the war, Orlicz, when collaborating with Mazur, made notes and published a joint paper without asking Mazur for permission. Unfortunately I did not know that I should have done the same.
Following the war, Poland became a communist country, was known as the Polish People's Republic, and was run by a government established by the Soviet Union. The director of the Department of Technical and Economic Studies of the Ministry of Education was Stanisław Antoni Turski (1906-1986), a mathematician who had studied at Kraków with Turowicz. He signed the papers which let Turowicz teach at the University despite the difficult position priests found themselves in a communist country. This eventually proved impossible, however, and so he taught mathematics at the Catholic University of Lublin from 1952 to 1956. Conditions became easier in 1956 when Nikita Khrushchev denounced Stalin and set up a less repressive Soviet era. Turowicz's application to become a professor took a long time to be considered and eventually was denied in 1957. In 1961 Turowicz obtained a research position at the Mathematical Institute of the Polish Academy of Sciences. This posed much less of a problem for the communist authorities, whose aim was to limit the influence of the Catholic church, since he did not teach undergraduates.

Eventually, in 1963 Turowicz obtained his habilitation after being examined in Warsaw. Before the examination he asked Ważewski what to expect from such an examination. He replied [3]:-
In the worst case you will become a martyr, and there's nothing you could desire more, is there?
In 1969 he became an extraordinary professor and he taught in the doctoral programme in the Academy of Mining and Metallurgy. He also taught candidates for holy orders at Tyniec Abbey, giving lectures there on the history of monasticism. He retired from academic teaching in 1974 but was president of the Kraków branch of the Polish Mathematical Society in 1973-75. Having been a member of the Society from 1926, he was made an honorary member in 1975. Although retired from teaching, Turowicz continued his connection with mathematics by working with the Committee for History of Mathematics, set up by the Polish Mathematical Society.

In the interview [3] Turowicz was asked:-
... the list of the subjects you have worked on is impressive. You are the author of papers on differential equations, numerical analysis, game theory, logic, control theory, functional analysis, probability ... Few mathematicians could boast such a scope of interests ...
He replied:-
But is it something to boast of? This was possible in the 18th century, now it is rather unreasonable. In my opinion, my best paper - maybe the only valuable one - was the one about continuous, multiplicative functionals. [His Ph.D. thesis published as [14] ] I think it was the first paper in this subject; later on the Americans generalised my results. But I moved from Lvov and in Kraków nobody was working on it. I made friends with Professor Górecki from the Academy of Mining and Metallurgy in Kraków and we published many papers about control theory together. I wrote one paper about probability, however, I didn't work on this theory. Ważewski asked me about the proof of the theorem about the normal Gaussian distribution. I answered that Stirling's formula is used. He said "This is so important a theorem, that there must exist a simpler proof, without such tricks." He kept nagging me to prove it for so long that I started thinking it over and once, during a tram ride, I got an idea.
Let us end by quoting from the authors of [3] about interviewing Turowicz in Tyniec Abbey when he was 83 years old:-
The 83-year-old priest leaves the monastery two or three times a year on special occasions. Any meeting he attends attracts many mathematicians who want to hear his stories. It is said that Professor Turowicz knew all the famous Polish mathematicians from the pre-war period. His excellent stories about mathematics and mathematicians of this time, coloured by interesting anecdotes, are listened to with bated breath.


References (show)

  1. D Ciesielska and K Ciesielski, Banach's doctorate: A case of mistaken identity, Mathematical Intelligencer 43 (3) (2021), 1-7.
  2. K Ciesielski and Z Pogoda, Professor Father Andrzej Turowicz, Zeszyty Naukowe Uniwersytetu Opolskiego. Matematyka 30 (1997), 53-59.
  3. K Ciesielski and Z Pogoda, Conversation with Andrzej Turowicz, Mathematical Intelligencer 10 (4) (1988), 13-20.
  4. S Domoradzki and M Stawiska, Distinguished graduates in mathematics of Jagiellonian University in the interwar period. Part I: 1918-1925, Technical Transactions Fundamental Sciences 2 (2015), 99-116.
  5. S Domoradzki and M Stawiska, Distinguished graduates in mathematics of Jagiellonian University in the interwar period. Part II: 1926-1939, Technical Transactions Fundamental Sciences 2 (2015), 117-141.
  6. H Górecki and A Pelczar, O działalności naukowej Profesora Andrzeja Turowicza, Wiadomości Matematyczne (2) 21 (1) (1978), 15-24.
  7. E Jakimowicz and A Miranowicz, Stefan Banach: Remarkable Life, Brilliant Mathematics (Gdańsk University Press, Gdańsk, 2011).
  8. M Kosek and M Stawiska, The centenary of Annales Polonici Mathematici, Annales de la Société Polonaise de Mathématique 127 (1-2) (2021), 99-164.
  9. C Olech, Selections from the curriculum vitae: happy thirteen (Polish), Wiadomości Matematyczne 46 (2) (2010), 215-224.
  10. Z Pawlikowska-Brożek, Andrzej Turowicz, in S Domoradzki, Z Pawlikowska-Brożek and D Węglowska (eds.), Słownik Biograficzny Matematyków Polskich (Wyd. PWSZ, Tarnobrzeg, 2003), 246-247.
  11. A Pelczar, H Górecki and W Mitkowski, The centenary of the birth of Professor A B Turowicz (Polish), Wiadomości Matematyczne 41 (2005), 151-164.
  12. A Turowicz, Recollections about Professor Steinhaus, Wiadomości Matematyczne (2) 17 (1973), 85-89.
  13. A Turowicz, On a proof of the Weierstrass-Stone theorem (Polish), Wiadomości Matematyczne 31 (1995), 149-150.
  14. A Turowicz, Sur les fonctionnelles continues et multiplicatives, Annales de la Société Polonaise de Mathématique 20 (1947), 135-156.
  15. A Turowicz, Tape recordings; made available courtesy of Dr Z Pawlikowska-Brożek.
  16. A Turowicz and H Górecki, Optimal control, Wiadomości Matematyczne (2) 12 (1969), 115-149.
  17. W Zelazko, Banach's School and Topological Algebras, in Bogdan Bojarski, Julian Ławrynowicz and Yaroslav G Prytula (eds.), Lvov Mathematical School in the period 1915-45 as seen today (Polish Academy of Sciences, Institute of Mathematics, Warsaw, 2009), 45-51.

Additional Resources (show)

Other pages about Andrzej Turowicz:

  1. Andrzej Turowicz on his fellow mathematicians

Cross-references (show)


Written by J J O'Connor and E F Robertson
Last Update November 2024
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