Abraham, R.; Marsden, J. E.; Ratiu, T. Manifolds, tensor analysis, and applications. 2nd ed. (English) Zbl 0875.58002 Applied Mathematical Sciences. 75. New York: Springer-Verlag. x, 654 p. (1988). See the first ed. in (1983; Zbl 0508.58001). Reviewer: Reviewer (Berlin) Cited in 2 ReviewsCited in 458 Documents MSC: 37-02 Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory 58Axx General theory of differentiable manifolds 37Cxx Smooth dynamical systems: general theory 70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics 53A45 Differential geometric aspects in vector and tensor analysis MathOverflow Questions: Examples of common false beliefs in mathematics Keywords:Frobenius theorem; ergodicity; Hamiltonian mechanics; fluid mechanics; electrodynamics; thermodynamics; Hahn-Banach theorem; open mapping theorem; complex Hilbert space; bibliography PDF BibTeX XML Cite \textit{R. Abraham} et al., Manifolds, tensor analysis, and applications. 2nd ed. New York: Springer-Verlag (1988; Zbl 0875.58002)