Bartel Leendert van der Waerden (February 2, 1903 – January 12, 1996) was a Dutchmathematician who born in Amsterdam, Netherlands and died in Zürich, Switzerland. February 2 is the 33rd day of the year in the Gregorian Calendar. ... 1903 has the latest occurring solstices and equinoxes for 400 years, because the Gregorian calendar hasnt had a leap year for seven years or a century leap year since 1600. ... January 12 is the 12th day of the year in the Gregorian Calendar. ... 1996 is a leap year starting on Monday of the Gregorian calendar, and was designated the International Year for the Eradication of Poverty. ... Wikibooks Wikiversity has more about this subject: School of Mathematics Wikiquote has a collection of quotations by or about: Mathematics Look up Mathematics on Wiktionary, the free dictionary Wikimedia Commons has more media related to: Mathematics Bogomolny, Alexander: Interactive Mathematics Miscellany and Puzzles. ... Amsterdam Location Country The Netherlands Province North Holland Population 739,295 (1 January 2005) Coordinates 4°54E - 52°22N Website www. ... Location within Switzerland Zürich? (in English often Zurich, IPA ) is the largest city in Switzerland (population: 366,145 in 2004; population of urban area: 1,091,732) and capital of the canton of Zürich. ...
He wrote on algebraic geometry; and was the author of an influential two-volume abstract algebra book. Algebraic geometry is a branch of mathematics which, as the name suggests, combines abstract algebra, especially commutative algebra, with geometry. ... Abstract algebra is the field of mathematics concerned with the study of algebraic structures such as groups, rings and fields. ...
Van der Waerden was active also as a historian of science. He wrote Science Awakening (1954; Dutch original, Ontwakende wetenschap, 1950).
VanderWaerden's theorem is a theorem of the branch of mathematics called Ramsey theory.
VanderWaerden's theorem states that for any given positive integers C and N, there is some number V(C, N) such that if the integers {1, 2,..., V(C, N)} are colored, each with one of C different colors, then there are at least N integers in arithmetic progression all of the same color.
By a double induction on the number of colors and the length of the progression, the theorem is proved in general.
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