Writing Small Omegas : Elie Cartan's Contributions to the Theory of Continuous Groups 1894-1926
Book Details
Format
Paperback / Softback
Book Series
Studies in the History of Mathematical Inquiry
ISBN-10
0128142448
ISBN-13
9780128142448
Publisher
Elsevier Science Publishing Co Inc
Imprint
Academic Press Inc
Country of Manufacture
NL
Country of Publication
GB
Publication Date
Oct 24th, 2017
Print length
304 Pages
Weight
504 grams
Dimensions
15.20 x 23.00 x 1.90 cms
Product Classification:
MathematicsApplied mathematics
Ksh 32,400.00
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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critically examining Cartan’s doctoral attempts to rigorously classify simple Lie algebras, including the use of many unpublished letters.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.
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