The Erlangen software expresses a basic standpoint at the use of teams and transformation teams in arithmetic and physics. This quantity is the 1st smooth accomplished ebook on that software and its influence in modern arithmetic and physics. Klein spelled out this system, and Lie, who contributed to its formula, is the 1st mathematician who made it potent in his paintings. The theories that those authors constructed also are associated with their own heritage and to their family with one another and with different mathematicians, incuding Hermann Weyl, Élie Cartan, Henri Poincaré, etc. a majority of these points of the Erlangen software look during this quantity. The ebook is written by means of recognized specialists in geometry, physics and the historical past of arithmetic and physics. A book of the eu Mathematical Society. allotted in the Americas by way of the yank Mathematical Society.
Read or Download Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics (IRMA Lectures in Mathematics and Theoretical Physics) PDF
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