Danuta Przeworska was born in Warsaw into the family of two archaeologists Stefan Przeworski and his wife Janina.
[2][3] After the secondary school, she began studies at the Faculty of Mathematics of the University of Warsaw, where in 1956 she obtained a master's degree.
Then she started research work at the Mathematical Institute of the Polish Academy of Sciences.
In 1973, she lectured for a year at the Cybernetics Department of the Military University of Technology where she taught algebraic analysis classes using an experimental method of her own invention.
[3] She married the Polish mathematician and colleague Stefan Henryk Rolewicz (1932–2015) in January 1952 and they had two children[2][3] On 23 August 1980, she joined the appeal of 64 scholars, writers and journalists to the communist authorities for dialogue with striking workers.