Elie Cartan (1869-1951)

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American Mathematical Soc., 14 de jul. 2011 - 317 pàgines
This book describes the life and achievements of the great French mathematician, Elie Cartan. Here readers will find detailed descriptions of Cartan's discoveries in Lie groups and algebras, associative algebras, differential equations, and differential geometry, as well of later developments stemming from his ideas. There is also a biographical sketch of Cartan's life. A monumental tribute to a towering figure in the history of mathematics, this book will appeal to mathematicians and historians alike.
 

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Continguts

Lie Groups and Algebras
33
Projective Spaces and Projective Metrics
87
Lie Pseudogroups and Pfaffian Equations
125
The Method of Moving Frames and Differential
145
Riemannian Manifolds Symmetric Spaces
177
Generalized Spaces
211
Conclusion
235
List of Publications of Elie Cartan
241
Appendix A Rapport sur les Travaux de M Cartan by H Poincaré
265
The Influence of France in the Development
281
Bibliography
303
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