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Preface * Background Notation * Chapter 1 Topology * Chapter 2 Banach Spaces and Differential Calculus * Chapter 3 Manifolds and Vector Bundles * Chapter 4 Vector Manifolds tensor analysis and applications pdf 1. Manifolds, Tensor Analysis, and Applications Ralph Abraham, J.E. Marsden, Tudor Ratiu

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J., Carr, Applications of Centre Manifold Theory, Springer, New York, 1981. A. J., McConnell, Applications of Tensor Analysis, Dover, New York, 1957. Lei-Hong Zhang, Riemannian Newton Method for the Multivariate Eigenvalue Problem, SIAM Journal on Matrix Analysis and Applications, v.31 n.5, p.2972-2996, July 2010

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