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B. A. Dubrovin, S. P. Novikov, A. T. Fomenko,

Modern Geometry- Methods and Applications

1 Examples of Manifolds.- 1. The concept of a manifold.- 1.1. Definition of a manifold.- 1.2. Mappings of manifolds; tensors on manifolds.- 1.3. Embeddings and immersions of manifolds. Manifolds with bou…

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B. A. Dubrovin, S. P. Novikov, A. T. Fomenko,

Modern Geometry - Methods and Applications

This is the first volume of a three-volume introduction to modern geometry which emphasizes applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their dif…

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