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A monograph on some of the ways geometry and analysis can be used in mathematical problems of physical interest. The roles of symmetry, bifurcation, and Hamiltonian systems in diverse applications are explored.
Infinite-Dimensional Hamiltonian SystemsElasticity as a Hamiltonian SystemSymmetry and Reduction Applications of ReductionTwo Completely Integrable SystemsBifurcations of a Forced BeamThe Traction Problem in ElastostaticsBifurcations of Momentum MappingsThe Space of Solutions of Einstein's EquationsRegular and Singular Points.
Vladimir I. Arnold, Alexander B. Givental, Boris Khesin, Jerrold E. Marsden, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Viro, Vladimir Zakalyukin
Vladimir I. Arnold, Alexander B. Givental, Boris Khesin, Jerrold E. Marsden, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Viro, Vladimir Zakalyukin