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One of the foremost mathematicians of the twentieth century, Karl Menger was especially recognized for his work in curve and dimension theory. Menger was born on January 13, 1902 in Vienna, Austria, the son of eminent economist Carl Menger...
About 3 pages (1,003 words) in 2 products

Karl Pearson is considered the founder of the science of statistics. In developing ways to analyze and represent scientific observations, he laid the groundwork for the development of the field of statistics in the twentieth century. Pears...
About 35 pages (10,557 words) in 7 products

Karl Wilhelm Theodor Weierstrass was considered one of the greatest mathematical analysts of 19th century Europe. He is well known as a cofounder of the theory of analytic functions and their representation as power series. Weierstrass mad...
About 9 pages (2,659 words) in 3 products

The Polish philosopher and logician Kazimierz Ajdukiewicz was born on December 12, 1890, in Tarnopol, Poland, then part of Austria-Hungary (now Ternopil, Ukraine). Ajdukiewicz's work was devoted to understanding how knowledge and the conce...
About 2 pages (663 words) in 2 products

The American mathematician Kenneth I. Appel was born in Brooklyn, New York on October 8, 1932. He earned a B.S. degree from Queens College in 1953, then served in the U.S. Army for two years following his graduation. In 1955, he enrolled i...
About 2 pages (672 words) in 3 products

Johannes Kepler made it his life's work to create a heliocentric (sun-centered) model of the solar system which would accurately represent the observed motion in the sky of the Moon and planets over many centuries. Models using many geomet...
About 24 pages (7,072 words) in 4 products

The Klein bottle is a one-sided surface named after the great 19th-century mathematician Felix Klein, who was one of the first mathematicians to explore its unusual properties. The Klein bottle is formed from a square piece of paper by glu...
About 8 pages (2,262 words) in 2 products

The snowflake curve is a fractal. It is also known as the Koch snowflake or Koch's island after Helge von Koch who first described it in 1904. To construct it, first draw a line segment AD. Next draw point B and C on AD so that AB, BC and ...
About 6 pages (1,694 words) in 2 products

A Kronecker delta is a compact notation that indicates the equivalent of a dot product in vector notations. In this usage, it takes the form of a Greek letter delta with two subscripts which indicate that the components are to be multiplie...
About 3 pages (866 words) in 2 products

Krystyna Kuperberg is a researcher and educator best known for disproving the famous Seifert conjecture in topology. Her counterexample, first announced in the mid-1990s, was termed a "small miracle" of geometry by Ian Stewart. It was quic...
About 4 pages (1,287 words) in 3 products

The Austrian-American mathematician and philosopher-scientist Kurt Gödel (1906-1978) developed the celebrated "Gödel's proof" which provided extraordinary insight into the basis of mathematical thought and revolutionized modern l...
About 271 pages (81,365 words) in 9 products

German secondary school teacher Kurt Grelling was part of the Vienna Circle, a group of philosophers devoted to logical positivism, or the logical analysis of scientific knowledge. Logical positivists believed that knowledge can only come ...
About 3 pages (988 words) in 2 products
1-12 for World of Mathematics



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