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Elie Cartan's Contributions to the Theory of Continuous Groups 1894-1926

Presents Élie Cartan’s seminal contributions to the theory of continuous groups, including the origins of his celebrated method of moving frames

Alberto Cogliati (Author)

9780128142448

Paperback, published 24 October 2017

304 pages
22.9 x 15.1 x 2 cm, 0.45 kg

"This is necessarily a very heavily mathematical book, which nevertheless manages to balance the need for such detail with an awareness of the historical context - great effort appears to have been taken, for example, to ensure that Cartan’s mathematics is interpreted on his terms, rather than in a modern way. The referencing throughout is sufficiently detailed to enable the reader to follow up on any points of interest, and a comprehensive index makes the book easy to navigate. This is an extremely valuable contribution to the study of the history of modern mathematics." --Zentralblatt Math

Approx.286 pages

1. Lie on the backstage2. Cartan’s doctoral dissertation3. Infinite Continuous Groups 1883-19024. Exterior Differential Systems5. Cartan’s Theory (1902-1909)6. The method of moving frames7. The geometry of continuous groups8. Conclusion

Subject Areas: Applied mathematics [PBW], Mathematics [PB]