Writing Small Omegas
  • Release Date : 31 October 2017
  • Publisher : Academic Press
  • Categories : Mathematics
  • Pages : 304 pages
  • ISBN 13 : 9780128142745
  • ISBN 10 : 012814274X
Score: 4
From 245 Ratings
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Synopsis : Writing Small Omegas written by Alberto Cogliati, published by Academic Press which was released on 31 October 2017. Download Writing Small Omegas Books now! Available in PDF, EPUB, Mobi Format. Writing Small Omegas: Elie Cartan's Contributions to the Theory of Continuous Groups 1894-1926 provides a general account of Lie’s theory of finite continuous groups, critically examining Cartan’s doctoral attempts to rigorously classify simple Lie algebras, including the use of many unpublished letters. It evaluates pioneering attempts to generalize Lie's classical ideas to the infinite-dimensional case in the works of Lie, Engel, Medolaghi and Vessiot. Within this context, Cartan’s groundbreaking contributions in continuous group theory, particularly in his characteristic and unique recourse to exterior differential calculus, are introduced and discussed at length. The work concludes by discussing Cartan’s contributions to the structural theory of infinite continuous groups, his method of moving frames, and the genesis of his geometrical theory of Lie groups. Discusses the origins of the theory of moving frames and the geometrical theory of Lie groups Reviews Cartan’s revolutionary contributions to Lie group theory and differential geometry Evaluates many unpublished sources that shed light on important aspects of the historical development of Lie algebras

Omega

Omega

Author : Jack McDevitt
Publisher : Berkley Hardcover
Category : Fiction
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