Leçons et applications de géométrie différentielle et de mécanique analytique / Y. Talpaert

Auteur principal : Talpaert, Yves Ray, 1944-, AuteurType de document : MonographieLangue : français.Pays: France.Éditeur : Toulouse : Cépaduès Ed., 1993Description : 1 vol. (460 p.) : ill. ; 24 cmISBN: 2854283252.Bibliographie : Bibliogr. p. 459-460. Index.Sujet MSC : 53-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry
70H20, Mechanics of particles and systems, Hamilton-Jacobi equations in mechanics
70H03, Mechanics of particles and systems, Hamiltonian and Lagrangian mechanics - Lagrange's equations
Item type: Monographie
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The book is a comprehensive introduction to differential geometry, necessary to students and researchers interested in the applications of geometrical concepts and techniques to various fields of mathematics and physics. Here are presented, in a very clear and rigorous form, important notions and results concerning: differentiable manifolds, tangent and cotangent bundles, tensor fields and differential forms, linear connections, Riemannian and symplectic structures, Lie groups and algebras, etc. The material presented is then applied to the d'Alembert- Lagrange and Hamilton-Jacobi analytical mechanics. The exposition is completed with 126 solved exercises, that are very useful for a thorough study of the concepts being introduced and the corresponding techniques. (Zentralblatt)

Bibliogr. p. 459-460. Index

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