Circle packing theorem — Example of the circle packing theorem on K5, the complete graph on five vertices, minus one edge. The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane … Wikipedia
Paul Koebe — (February 15, 1882 ndash; August 6, 1945) was a 20th century German mathematician from Luckenwalde. His work dealt exclusively with the complex numbers, his most important results being on the uniformization of Riemann surfaces. He did his thesis … Wikipedia
Area theorem (conformal mapping) — In the mathematical theory of conformal mappings, the area theorem gives an inequality satisfied bythe power series coefficients of certain conformal mappings. The theorem is called by that name, not because of its implications, but rather… … Wikipedia
Paul Koebe — Paul Koebe, 1930 in Jena Paul Koebe (* 15. Februar 1882 in Luckenwalde; † 6. August 1945 in Leipzig) war ein deutscher Mathematiker, der sich fast ausschließlich mit Funktionentheorie beschäftigte. Inhaltsverzeichnis … Deutsch Wikipedia
de Branges's theorem — In complex analysis, the Bieberbach conjecture or de Branges s theorem, posed by Ludwig Bieberbach (1916) and proven by Louis de Branges (1985), states a necessary condition on a holomorphic function to map the open unit disk of the… … Wikipedia
Riemann mapping theorem — In complex analysis, the Riemann mapping theorem states that if U is a simply connected open subset of the complex number plane Bbb C which is not all of Bbb C, then there exists a biholomorphic (bijective and holomorphic) mapping f, from U, onto … Wikipedia
Mandelbrot set — Initial image of a Mandelbrot set zoom sequence with a continuously coloured environment … Wikipedia
List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… … Wikipedia
List of mathematics articles (K) — NOTOC K K approximation of k hitting set K ary tree K core K edge connected graph K equivalence K factor error K finite K function K homology K means algorithm K medoids K minimum spanning tree K Poincaré algebra K Poincaré group K set (geometry) … Wikipedia
Schwarz lemma — In mathematics, the Schwarz lemma, named after Hermann Amandus Schwarz, is a result in complex analysis about holomorphic functions defined on the open unit disk. Lemma statementLet D = {z : |z| < 1} be the open unit disk in the complex plane C.… … Wikipedia