Jean-Pierre Serre, né le 15 septembre 1926 [2] à Bages (Pyrénées-Orientales), est un mathématicien français, considéré comme l’un des plus grands mathématiciens du XX e siècle. Il a reçu de nombreuses récompenses pour ses recherches, et est en particulier lauréat de la médaille Fields en 1954, du prix Balzan en 1985, de la médaille d'or du CNRS en 1987, du prix …

The Fenchel–Nielsen coordinates (so named after Werner Fenchel and Jakob Nielsen) on the Teichmüller space () are associated to a pants decomposition of the surface .This is a decomposition of into pairs of pants, and to each curve in the decomposition is associated its length in the hyperbolic metric corresponding to the point in Teichmüller space, and another …

Lars Ahlfors (1978), Finnish mathematician Recipient of Fields Medal in 1936. Franklin D. Roosevelt (1941), 32nd President of the United States. Controversy. In recent years the University of London has seen much controversy surrounding its treatment of staff and students. In 2012, outsourced cleaning staff ran the "3 Cosas" campaign, fighting ...

Alain Connes est un mathématicien et physicien théoricien français né le 1 er avril 1947 à Draguignan, dans le Var.Il a révolutionné la théorie des algèbres de von Neumann et résolu la plupart des problèmes posés dans ce domaine, notamment la classification des facteurs de type III (en).Pour ces travaux, il a reçu la médaille Fields en 1982.

Peter David Lax (born Lax Péter Dávid; 1 May 1926) is a Hungarian-born American mathematician and Abel Prize laureate working in the areas of pure and applied mathematics.. Lax has made important contributions to integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation laws, and mathematical and scientific computing, …

In mathematics, a complex logarithm is a generalization of the natural logarithm to nonzero complex numbers.The term refers to one of the following, which are strongly related: A complex logarithm of a nonzero complex number , defined to be any complex number for which =. Such a number is denoted by ⁡. If is given in polar form as =, where and are real numbers with >, then ⁡ …

Ralph Tyrrell Rockafellar (born February 10, 1935) is an American mathematician and one of the leading scholars in optimization theory and related fields of analysis and combinatorics.He is the author of four major books including the landmark text "Convex Analysis" (1970), which has been cited more than 27,000 times according to Google Scholar and remains the standard reference …

Paul Anthony Samuelson, né le 15 mai 1915 à Gary (Indiana, États-Unis) et mort le 13 décembre 2009 à Belmont (Massachusetts) [1], est un économiste américain, prix dit Nobel d'économie en 1970 et chef de file de l'école qu'il appela la « synthèse néo-classique » [2], qui entendait reprendre à son compte à la fois les théories de Keynes en macroéconomie et les …

In geometry, the cross-ratio, also called the double ratio and anharmonic ratio, is a number associated with a list of four collinear points, particularly points on a projective line.Given four points A, B, C and D on a line, their cross ratio is defined as (,;,) =where an orientation of the line determines the sign of each distance and the distance is measured as projected into Euclidean …

In complex analysis, the residue theorem, sometimes called Cauchy's residue theorem, is a powerful tool to evaluate line integrals of analytic functions over closed curves; it can often be used to compute real integrals and infinite series as well. It generalizes the Cauchy integral theorem and Cauchy's integral formula.From a geometrical perspective, it can be seen as a …