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Differentiable Manifolds, Differentiable Function and Mappings, Rank Emersions Submanifolds, Vector Field On Manifolds, Tangent Covectors, Tensor Fields, Extention Algebras, Partitions of Unity Applications. Exterior Differentiation.

Faculty: Mathematics
|Undergraduate Studies |Graduate Studies

Pre-required courses

(104142 - Int. to Metric and Topological Space and 104168 - Algebra B and 104285 - Ordinary Differential Equations A and 104295 - Infinitesimal Calculus 3)

• Calculus on manifolds : a modern approach to classical theorems of advanced calculus. - Spivak, Michael
• Differentiable manifolds : a first course - Conlon, Lawrence
• Differential topology - Guillemin, Victor W.
• Differential topology : first steps. - Wallace, Andrew H.
• Differential topology. - Hirsch, Morris W.
• Foundations of differentiable manifolds and Lie groups - Warner, Frank W.
• Foundations of Differentiable Manifolds and Lie Groups [electronic resource] - Warner, Frank W.
• Foundations of differentiable manifolds and Lie groups. - Warner, Frank W.
• Introduction to smooth manifolds - Lee, John M.
• Introduction to Smooth Manifolds - Lee, John M.
• Topology from the differentiable viewpoint - Milnor, John W.