# A report on Stanislaw Ulam and Hugo Steinhaus

While in Lwów, Steinhaus co-founded the Lwów School of Mathematics and was active in the circle of mathematicians associated with the Scottish cafe, although, according to Stanislaw Ulam, for the circle's gatherings, Steinhaus would have generally preferred a more upscale tea shop down the street.

- Hugo SteinhausIts founders were Hugo Steinhaus and Stefan Banach, who were professors at the Jan Kazimierz University.

- Stanislaw Ulam6 related topics with Alpha

## Lwów School of Mathematics

3 linksGroup of Polish mathematicians who worked in the interwar period in Lwów, Poland (since 1945 Lviv, Ukraine).

Group of Polish mathematicians who worked in the interwar period in Lwów, Poland (since 1945 Lviv, Ukraine).

Hugo Steinhaus

Stanisław Ulam

## Stefan Banach

2 linksPolish mathematician who is generally considered one of the 20th century's most important and influential mathematicians.

Polish mathematician who is generally considered one of the 20th century's most important and influential mathematicians.

After completing his secondary education, he befriended Hugo Steinhaus, with whom he established the Polish Mathematical Society in 1919 and later published the scientific journal Studia Mathematica.

Stanislaw Ulam, another mathematician of the Lwów School of Mathematics, in his autobiography, quotes Banach as saying:

## Lviv

2 linksLargest city in Western Ukraine, and the sixth-largest in Ukraine, with a population of Lviv is one of the main cultural centres of Ukraine.

Largest city in Western Ukraine, and the sixth-largest in Ukraine, with a population of Lviv is one of the main cultural centres of Ukraine.

The most well-known were the mathematicians Stefan Banach, Juliusz Schauder and Stanisław Ulam who were founders of the Lwów School of Mathematics turning Lviv in the 1930s into the "World Centre of Functional Analysis" and whose share in Lviv academia was substantial.

Stanisław Ulam who was later a participant in the Manhattan Project and the proposer of the Teller-Ulam design of thermonuclear weapons, Stefan Banach one of the founders of functional analysis, Hugo Steinhaus, Karol Borsuk, Kazimierz Kuratowski, Mark Kac and many other notable mathematicians would gather there.

## Mark Kac

1 linksPolish American mathematician.

Polish American mathematician.

Kac completed his Ph.D. in mathematics at the Polish University of Lwów in 1937 under the direction of Hugo Steinhaus.

Mark Kac and Stanislaw Ulam: Mathematics and Logic: Retrospect and Prospects, Praeger, New York (1968) 1992 Dover paperback reprint. ISBN: 0-486-67085-6

## Scottish Book

0 linksThick notebook used by mathematicians of the Lwów School of Mathematics in Poland for jotting down problems meant to be solved.

Thick notebook used by mathematicians of the Lwów School of Mathematics in Poland for jotting down problems meant to be solved.

Stanislaw Ulam recounts that the tables of the café had marble tops, so they could write in pencil, directly on the table, during their discussions.

Hugo Steinhaus contributed the last problem on 31 May 1941, shortly before the German attack on the Soviet Union; this problem involved a question about the likely distribution of matches within a matchbox, a problem motivated by Banach's habit of chain smoking cigarettes.

## John von Neumann

0 linksHungarian-American mathematician, physicist, computer scientist, engineer and polymath.

Hungarian-American mathematician, physicist, computer scientist, engineer and polymath.

During World War II, von Neumann worked on the Manhattan Project with theoretical physicist Edward Teller, mathematician Stanislaw Ulam and others, problem-solving key steps in the nuclear physics involved in thermonuclear reactions and the hydrogen bomb.

It solved a problem of Hugo Steinhaus asking whether an interval is And a small simplification of Hermann Minkowski's theorem for linear forms in geometric number theory.