Les systèmes hamiltoniens et leur intégrabilité / Michèle Audin
Type de document : MonographieCollection : Cours spécialisés, 8Langue : français.Pays: France.Éditeur : Paris : Société Mathématique de France, 2001Description : 1 vol. (VIII-170 p.) : ill. ; 25 cmISBN: 9782868835222.ISSN: 1284-6090.Bibliographie : Bibliogr. p. 161-166. Index.Sujet MSC : 53D17, Differential geometry - Symplectic geometry, contact geometry, Poisson manifolds; Poisson groupoids and algebroids37J35, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
70H06, Mechanics of particles and systems, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics
37J06, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, General theory, Hamiltonian and Lagrangian structures, symmetries, invariants
12H05, Field theory and polynomials - Differential and difference algebra, Differential algebraEn-ligne : SMF - résumé
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | Séries COSP (Browse shelf(Opens below)) | Available | 12508-01 |
Bibliogr. p. 161-166. Index
Completely integrable Hamiltonian systems have enjoyed great attention as they connect several areas of mathematics: mechanics, symplectic geometry, algebraic geometry, to name only three which appear in this book. The book is addressed to graduate students without previous exposure to these topics, in fact it contains two appendices with the essentials of differential Galois theory and Riemann surface theory that one needs in order to follow the author. The genesis of the book is three introductory graduate courses given at various institutions (for that reason, one would assume, one of the three précis given on the frontispiece is in Portuguese) ... (MSN)
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