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An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential forms; Lie derivative and Lie algebra; n-form integration on n-manifold; Riemann geometry; and more. It includes 133 solved exercises.
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Sciences pures --- Wiskunde --- Zuivere wetenschappen --- Géométrie projective différentielle des V3 de S5 --- Meetkunde (Differentiaal-) (Projectieve) --- 515
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Mathématiques --- Sciences pures --- Wiskunde --- Zuivere wetenschappen --- Géométrie différentielle --- Meetkunde (Differentiaal-) --- 513.735
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Mathématiques --- Sciences pures --- Wiskunde --- Zuivere wetenschappen --- Géométrie différentielle --- Meetkunde (Differentiaal-) --- 513.7
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Mathematical optimization --- Geometry [Differential ] --- Meetkunde (Differentiaal-) --- Algèbres de Lie. --- Géométrie différentielle --- Lie (Algebra's van).
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Geometry, Differential --- #WBIB:dd.Lic.L.De Busschere --- 514.76 --- Differential geometry --- Geometry of differentiable manifolds and of their submanifolds --- 514.76 Geometry of differentiable manifolds and of their submanifolds --- Géométrie différentielle --- Meetkunde (Differentiaal-).
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