---------- Forwarded message ---------- From: Tatiana Roque <[email protected]> Date: 2013/10/2 Subject: palestras - história da matemática To: [email protected]
Caros colegas, Gostaria de convidá-los para duas palestras de um visitante que receberemos na próxima semana, pesquisador importante da área de História da Matemática. A primeira será aqui no IM, e a segunda irá inaugurar os seminários de História da Matemática do IMPA. Seguem os detalhes das palestras e uma breve apresentação do Prof. Jesper Lützen (Instituto de Matemática-Universidade de Copenhague). *Dia 8/10 terça-feira, 17h Impossibility theorems with special emphasis on the classical problems Many of the most celebrated mathematical theorems say that something cannot be done. In the talk I shall discuss the nature and general development of this kind of theorems followed by an account of the historical development of the impossibility of the so-called classical problems: the duplication of the cube, the trisection of the angle and the quadrature of the circle. I shall argue that impossibility statements often began as meta-statements about the problem solving activity of mathematics, and were only later conceived as real mathematical results, that could and should be proved. The development of new methods of proof provided the basis for this shift. I shall exemplify this by the history of the classical problems in between their formulation in Greek antiquity and their final impossibility proofs in the 19th century. In particular I shall analyse some of the advances due to the introduction in the 17th century of analytical methods in geometry. UFRJ Centro de Tecnologia Bloco C Sala C116 *Dia 9/10 quarta-feira, 17h Joseph Liouville: Master of Pure and Applied Mathematics. Joseph Liouville (1809-1882) was the leading French mathematician between Cauchy and Hermite. The talk will deal with his life and in particular with his many mathematical contributions to mathematics such as differentiation of arbitrary order (fractional calculus), integration in finite form, Sturm-Liouville theory, Galois Theory, transcendental numbers, mechanics, differential geometry and integral equations. The talk will be based on Liouville's published work as well as his many unpublished notebooks. The notebooks reveal the sources of inspiration and his method of discovery of many of his published ideas as well as many far-reaching ideas and results that he did not publish. IMPA Sala 228 http://institucional.impa.br/seminarios/lista.action Apresentação: Jesper Lützen Trabalha sobre a história da Análise e de outros ramos da matemática nos séculos XIX e início do XX, com ênfase nas interações com a física. Exemplos de publicações: The changing importance of an impossibility result, Historia Mathematica, vol 36, s. 374-394, 2010. The Physical Origin of Physically Useful Mathematics, Interdisciplinary Science Reviews , vol 36, nr. 3, s. 229-243, 2011. Examples and Reflections on the Interplay between Mathematics and Physics in the 19th and 20th century, idem. The Mathematician Sophus Lie: It was the Audacity of my Thinking, Mathematical Intelligencer, vol 26, s. 60-64, 2004. Joseph Liouville 1809-1882: Master of Pure and Applied Mathematics (Studies in the History of Mathematics and Physical Sciences). NY: Springer, 1990. -- Federal University of Rio de Janeiro www.cos.ufrj.br/~mario _______________________________________________ Logica-l mailing list [email protected] http://www.dimap.ufrn.br/cgi-bin/mailman/listinfo/logica-l
