This indicates the geographical distribution and mutual influence of the
leading Polish mathematicians, as well as the areas in which they were
active. The latter are divided into logic, set theory, topology, functional
analysis, classical analysis, differential equations, differential geometry,
and applied mathematics.

## Warsaw School of Mathematics

The term Warsaw School of Mathematics is used to describe a group of
mathematicians working in logic, set theory, point-set topology and real
functions in the 1920's and 1930's. Their journal was Fundamenta Mathematicae
(founded in 1920), the first specialized mathematical journal in the world.

Members of this school were: Wacław Sierpinski, Kazimierz Kuratowski, Edward Marczewski, Bronisław Knaster, Zygmunt Janiszewski, Stefan Mazurkiewicz, Stanisław Saks,
Karol Borsuk, Roman Sikorski

Members of the Warsaw topology group who emigrated in the 1930's: Nachman
Aronszajn (1907-1980) and Samuel Eilenberg (now in New York).

The group of logicians in Warsaw also included Stanislaw Lesniewski
(1886-1939), Adolf Lindenbaum (1904-1942), and Alfred Tarski (since 1942 in
Berkeley). Here in 1933 Tarski published his celebrated theorem on the
undefinability of the notion of truth.
Jan Łukasiewicz and
Andrzej Mostowski belonged also to this group.

Fourier analysis was developed in Warsaw by Aleksander Rajchman and Antoni
Zygmund (1900-1992). The latter moved to the Uniwesity of Vilna (founded 1578) where he
led an analysis group in the 1930's. During the war he settled in the USA.
Józef Marcinkiewicz,
Otton M. Nikodym and
Jerzy Spława-Neyman were other members of this group.

## Lvov School of Mathematics

The term Lvov School of Mathematics refers to a group of over a dozen
mathematicians working in functional analysis, real functions and probability
in the 1920's and 1930's. Their journal was Studia Mathematica (founded 1929).
The Lvov School included
Stefan Banach,
Juliusz P. Schauder,
Stanisław Mazur,
Hugo Steinhaus and
Władyslaw Orlicz.
The Lvov School also included Herman Auerbach, Stefan Kaczmarz, Antoni
Łomnicki, Mark Kac and Stanisław Ulam (both now in USA).

## Cracow School of Mathematics

The Jagiellonian Uniwesity in Cracow (Kraków), the ancient capital of
Poland, was founded in 1364. Copernicus studied mathematics and astronomy
here from 1491 to 1495. In the 20th century, Cracow became a center of
classical analysis, differential equations and analytic functions.

This school included
Stanisław Zaremba,
Tadeusz Ważewski,
Kazimierz Żórawski, Władyslaw Ślebodziński and
Franciszek Leja.