Wolfgang Haken (born June 21, 1928 in Berlin, Germany) is a mathematician who specializes in topology, in particular 3-manifolds.In 1976 together with colleague Kenneth Appel at the University of Illi ...
Appel was born in Brooklyn, New York, on October 8, 1932, and he died in Dover, New Hampshire, on April 19, 2013, after contracting esophageal cancer in October 2012. He grew up in Queens, New York, a ...
The intuitive statement of the four color theorem, i.e. 'that given any separation of a plane into contiguous regions, called a map, the regions can be colored using at most four colors so that no two ...
Shmuel Gal (Hebrew: שמואל גל) is a mathematician and professor of statistics at the University of Haifa in Israel.He devised the Gal's accurate tables method for the computer evaluation of el ...
In game theory, the Princess and Monster game is a pursuit-evasion game played by two players in a region. The game was devised by Rufus Isaacs and published in his book Differential Games (1965) as f ...
De Branges' proof of the Bieberbach conjecture was not initially accepted by the mathematical community. Rumors of his proof began to circulate in March 1984, but many mathematicians were skeptical be ...
The normalizationsa0 = 0 and a1 = 1mean thatf(0) = 0 and f '(0) = 1;this can always be assured by a linear fractional transformation: starting with an arbitrary injective holomorphic function g define ...
He received his B.A. from Clare College, Cambridge, and his Ph.D. from Princeton University in 1988. From 1995 to 1996 he held the Savilian Chair of Geometry at Oxford University and Fellow of New Col ...
Wiles is the son of Maurice Frank Wiles (1923–2005), the Regius Professor of Divinity at the University of Oxford and Patricia Wiles (née Mowll). His father worked as the Chaplain at Ridley Hall, Ca ...
Fermat's Last Theorem (known by this title historically although technically a conjecture, or unproven speculation, until proven in 1994) stood as an unsolved riddle in mathematics for over three cent ...
Vladimir Voevodsky's father, Aleksandr Voevodsky, was head of the Laboratory of High Energy Leptons in the Institute for Nuclear Research at the Russian Academy of Sciences. His mother is a chemist. V ...
Let F be a field of characteristic different from 2. Then there is an isomorphismK_n^M(F)/2 \cong H_{\acute{e}t}^n(F, \mathbb{Z}/2\mathbb{Z})for all n ≥ 0, where K denotes the Milnor ring.About the p ...
He received his Ph.D. from Princeton University in 1986.Career in mathematics Hales, formerly at the University of Michigan, and now University of Pittsburgh Mellon Professor of mathematics, advocates ...
Imagine filling a large container with small equal-sized spheres. The density of the arrangement is equal to the collective volume of the spheres divided by the volume of the container. To maximize th ...
Statement The theorem states that any elliptic curve over Q can be obtained via a rational map with integer coefficients from the classical modular curveX_0(N)\ for some integer N; this is a curve wit ...
