Sergiy Maksymenko
Differential forms
Lecture course for magisters of Kyiv academic university, Autumn, 2024
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Introduction to differential forms. Differential forms on open subsets of euclidean spaces2024-09-05 video notes
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Skew-symmetric polylinear forms on vector spaces2024-09-12 video notes
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Differential forms of manifolds2024-09-19 video notes
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Linear Darboux lemma. Pull backs of polylinear forms2024-09-26 video notes
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Differential forms of manifolds2024-10-03 video notes
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Calculus of differential forms. Examples. Differential of a differential form2024-10-10 video notes
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Differential forms of the circle2024-10-17 video notes
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Repetition of all previous material2024-10-24 video notes
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Orientation of manifolds. Oriented double covering2024-10-31 video notes
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Parittion of unity2024-11-07 video notes
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Integral of differentil form on oriented manifold2024-11-14 video notes
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Manifolds with boundary. Stokes theorem2024-11-21 video notes
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Proof of Stokes theorem2024-11-28 video notes
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Poincare lemmas2024-12-05 video notes
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Poincare lemmas with compact support2024-12-12 video notes
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Applications of differential forms in complex analysis2024-12-19 video notes
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Problems listspdf1 pdf2 Питання до екзамену
CONTACTS
Algebra and Topology department
Institute of Mathematics of NAS of Ukraine
Str. Tereshchenkivska, 3
Kyiv, 01024 Ukraine
Email: maks@imath.kiev.ua