Elie Cartan (1869-1951)American Mathematical Soc., 1993 - 317 pàgines This book describes the life and achievements of the great french mathematician, Élie Cartan. Here readers will find detailed descriptions of Cartan's discoveries in Lie groups and algebras, associative algebras, differential geometry, as well as later developments stemming from his ideas. The volume includes 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. |
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 Élie Cartan | 241 |
Allocution de M Élie Cartan | 275 |
Bibliography | 303 |
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Frases i termes més freqüents
A₁ absolute affine connection C. R. Acad Cartan called Cartan considered Cartan metric complex numbers continuous groups coordinates corresponding curvature curve defined denoted differential geometry dimension Divers Dynkin graphs elements Élie Cartan elliptic Euclidean space Euvres field finite formulas functions fundamental G-structure Galois Gauthier-Villars geodesic géométrie différentielle group G group of motions Groupes de Lie groups of transformations Hermitian hyperplanes hypersurfaces infinitesimal integral invariant involution isomorphic isotropic Lie algebra linear representations manifold VP Math mathematicians mathematics method of moving moving frames n-dimensional non-Euclidean noncompact octaves Œuvres complètes orthogonal paper parallel displacement parameters Paris Partie Pfaffian equations plane Poincaré problem projective space pseudo-Riemannian manifold pseudogroups published quadratic form quadric quaternion real simple Lie Riemannian manifolds simple groups simple Lie groups space R³ straight lines structure subgroup submanifold symmetric Riemannian spaces symmetric spaces symplectic tangent spaces tensor theory tions two-dimensional variables vectors vols
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Es war die Kühnheit meiner Gedanken: Der Mathematiker Sophus Lie Arild Stubhaug Previsualització no disponible - 2003 |