In the Steps of Galois: proceedings of the Evariste Galois Bicentenary Meeting
Synopsis
In the steps of Galois: proceedings of the Evariste Galois bicentenary meeting (digital)
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Resumo
“The bicentenary of the birth of the French mathematician Evariste Galois (1811-1832) was celebrated in 2011. His work in algebra, known today as Galois Theory, gave rise to modern mathematical thought with its characteristic abstraction, generality, and functorality.
The 19º century was an era of great changes in mathematics and in scientific thought in general, and the innovations by Galois and other mathematicians of the time were the beginning of these changes. It was in the 19º century, for example, that the concepts of “group” and of body and its extensions” first appeared. In this regard we may cite, among other developments, the advent of the various algebraic systems and their systematizations by Hamilton, Cayley, and Dedekind, the non-Euclidian geometries of Lobachevski and Riemann, as well as the beginnings of the science of logic by Boole and the development of set theory by Cantor. We may also mention Felix Klein's Erlangen Program, which reveals the great unifying power of the theory of groups integrated with geometry, and the work of Poincaré and Hilbert, the former initiating the systematic development of topology and of the qualitative study of differential equations, the latter initiating modern axiomatic developments and their logical foundations. All of these efforts gave expression, within mathematics, to the freedom of thought promoted by the Romantic movement of the beginning of the 19% century.
The word “modern” makes reference here to modernism, the cultural movement which unleashed various epistemological ruptures and changes in the direction of many areas of human knowledge, including mathematics. The principle characteristics of this movement were a break with tradition, self-criticism, and a trend toward abstraction and formal means of expression.
Itis in this spirit, as well as with a didactic end, that the Mathematics Department of the Federal University of Paraná (UFPR) organized a small symposium entitled The Genesis of Modern Thought in Mathematics: 200 Years of Galois, which took place from 15-16 February, 2011, at the Polytechnic Center in Curitiba. This multidisciplinary event commemorated Galois” bicentenary, with the objective of showing the reach of the new mathematical thought, pioneered by Galois, that came to permeate the 20º century and which still has not attained the apex of its possibilities.
In the same spirit, but independently, the Centre for Logic, Epistemology, and the History of Science of the State University of Campinas (CLE/UNICAMP) organized the Evariste Galois International Bicentenary Meeting, which occurred from 21-25 November, 2011. The event included the participation of three professors ftom France, and had as its objective the exchange of ideas and results regarding Galois theory as it relates to diverse areas of mathematics and logic, as well the discussion of aspects of the life and work of Galois from the point of view of the history of mathematics.”
Fábio Maia Bertato
José Carlos Cifuentes
Jean-Jacques Szczeciniarz
Volume 64 — 2013
ISBN: 978-2-7056 -8852-3
OBS. The work of Evariste Galois, known today as Galois Theory, gave rise to modern mathematical thougth with its characteristic abstraction and generality. “Modern thougth” makes reference to a movement whose characteristic was a break with tradicion, a new self-criticism, and a trend toward abstraction and formal means os expression. This book offers to a wider public the proceedings of the “Evariste Galois Bicentenary Meetings”.
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