Stanisław Krystyn Zaremba (August 15, 1903, in Cracow – January 14, 1990, in Aberystwyth, Wales) was a Polish climber, mountaineer and mathematician. He was the son of
Stanisław Zaremba (1863–1942), also a mathematician.
Zaremba is known for his contributions to
low-discrepancy sequence
In mathematics, a low-discrepancy sequence is a sequence with the property that for all values of N, its subsequence x_1, \ldots, x_N has a low discrepancy of a sequence, discrepancy.
Roughly speaking, the discrepancy of a sequence is low if the p ...
s, low-discrepancy sets of points, and their application to
Quasi-Monte Carlo method
In numerical analysis, the quasi-Monte Carlo method is a method for numerical integration and solving some other problems using low-discrepancy sequences (also called quasi-random sequences or sub-random sequences) to achieve variance reduction. ...
s for numerical integration. He is one of the namesakes of the
Hlawka–Zaremba formula in the theory of low-discrepancy sequences.
Education and career
Zaremba studied mathematics at the
Jagiellonian University
The Jagiellonian University (, UJ) is a public research university in Kraków, Poland. Founded in 1364 by Casimir III the Great, King Casimir III the Great, it is the oldest university in Poland and one of the List of oldest universities in con ...
(1921-1924, 1926-1929) and in
Paris
Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of ci ...
(1924–26). After his studies he was an assistant at
Vilnius University
Vilnius University ( Lithuanian: ''Vilniaus universitetas'') is a public research university, which is the first and largest university in Lithuania, as well as one of the oldest and most prominent higher education institutions in Central and Ea ...
and since 1936 he was an associate professor at Jagiellonian University. He then worked as a lecturer in Stalinabad (nowadays
Dushanbe
Dushanbe is the Capital city, capital and largest city of Tajikistan. , Dushanbe had a population of 1,564,700, with this population being largely Tajiks, Tajik. Until 1929, the city was known in Russian as Dyushambe, and from 1929 to 1961 as St ...
in
Tajikistan
Tajikistan, officially the Republic of Tajikistan, is a landlocked country in Central Asia. Dushanbe is the capital city, capital and most populous city. Tajikistan borders Afghanistan to the Afghanistan–Tajikistan border, south, Uzbekistan to ...
),
England
England is a Countries of the United Kingdom, country that is part of the United Kingdom. It is located on the island of Great Britain, of which it covers about 62%, and List of islands of England, more than 100 smaller adjacent islands. It ...
,
Wales
Wales ( ) is a Countries of the United Kingdom, country that is part of the United Kingdom. It is bordered by the Irish Sea to the north and west, England to the England–Wales border, east, the Bristol Channel to the south, and the Celtic ...
,
United States
The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 U.S. state, states and a federal capital district, Washington, D.C. The 48 ...
and
Canada
Canada is a country in North America. Its Provinces and territories of Canada, ten provinces and three territories extend from the Atlantic Ocean to the Pacific Ocean and northward into the Arctic Ocean, making it the world's List of coun ...
, eventually settling in Wales, where he died in 1990. He visited Poland well into his old age, lecturing at the Jagiellonian University in 1981.
Mountaineering
Zaremba was an active climber in the years 1925-1927, especially during the winter. He is the author of many first ascents in the
Tatra Mountains. The new routes in the summer were, among others, on Little Kozi Wierch, Wieliczka Peak, Frog Turtle Muster, Mięguszowiecki Peak, Durny Peak. In winter he made his way to Hruby Wierch, Zadni Kościelec, Jaworowy Peak. Apart from the Tatras, he also climbed in the
Alps
The Alps () are some of the highest and most extensive mountain ranges in Europe, stretching approximately across eight Alpine countries (from west to east): Monaco, France, Switzerland, Italy, Liechtenstein, Germany, Austria and Slovenia.
...
, the
Pyrenees
The Pyrenees are a mountain range straddling the border of France and Spain. They extend nearly from their union with the Cantabrian Mountains to Cap de Creus on the Mediterranean coast, reaching a maximum elevation of at the peak of Aneto. ...
and the mountains of
Lebanon
Lebanon, officially the Republic of Lebanon, is a country in the Levant region of West Asia. Situated at the crossroads of the Mediterranean Basin and the Arabian Peninsula, it is bordered by Syria to the north and east, Israel to the south ...
,
Iran
Iran, officially the Islamic Republic of Iran (IRI) and also known as Persia, is a country in West Asia. It borders Iraq to the west, Turkey, Azerbaijan, and Armenia to the northwest, the Caspian Sea to the north, Turkmenistan to the nort ...
, Wales and Tajikistan.
He was the editor of the magazine ''Taternik'' and an honorary member of the Polish Alpine Association.
One of the
Wrocław's dwarfs (Alpinki group) is named Zarembek in his honor.
See also
*
Zaremba's conjecture
Selected publications
*
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*
*
References
Zofia, Witold Henryk Paryscy: Great encyclopaedia of Tatra, article "Zaremba, Stanislaw Krystyn"
{{DEFAULTSORT:Zaremba, Stanisław Krystyn
20th-century Polish mathematicians