Zaremba was born on 3 October 1863 in Romanówka, present-day Ukraine. The son of an engineer,[1] he was educated at a grammar school in Saint Petersburg and studied at the Institute of Technology of the same city obtaining his diploma in engineering in 1886.[1] The same year he left Saint Petersburg and went to Paris to study mathematics: he received his degree from the Sorbonne in 1889.[1] He stayed in France until 1900, when he joined the faculty at the Jagiellonian University in Kraków. His years in France enabled him to establish a strong bridge between Polish mathematicians and those in France.
Zaremba's magneficent discoveries found a broad response and deep appreciation in the world. Stanisław Zaremba is the pride of Polish science. At the same time, by his pioneering activity in such an important field as mathematical analysis, he became one of the creators of modern Polish mathematics.
— (1912). Arytmetyka teoretyczna (in Polish). Kraków: Akademia Umiejętności. OCLC69511091.
— (1914). Ogólne zasady analizy matematycznej. Cz. 2: Rachunek całkowy (in Polish). Kraków: Kółko Matematyczno-Fizyczne Uczniów Uniwersytetu Jagiellońskiego.
— (1915). Wstęp do analizy. Cz. 1: Pojęcie dowodu matematycznego oraz inne wiadomości pomocnicze (in Polish). Warsaw: skł. gł. w Księgarni Gebethnera i Wolffa. OCLC69586726.
— (1918). Wstęp do analizy. Cz. 2: Teorya liczb rzeczywistych (in Polish). Warsaw: skł. gł. w Księgarni Gebethnera i Wolffa. OCLC69586727.
— (1933). Zarys mechaniki teoretycznej. Tom 1: Wiadomości pomocnicze i kinematyka (in Polish). Kraków: Akademia Umiejętności. OCLC69538136.