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Title: Cohomologia de deRham i didàctica de la geometria esfèrica
Author: Rebull Mantas, David
Director/Tutor: Font Gonzàlez, Jordi
Keywords: Geometria diferencial
Didàctica de la matemàtica
Treballs de fi de grau
Differential geometry
Mathematics teaching methods
Bachelor's theses
Issue Date: 13-Jun-2023
Abstract: [en] We define and study homology and de Rham’s cohomology groups, and the close connection between them despite their distinct natures. The integration of differential forms is defined, and the general and simplicial cases of Stokes’ theorem are presented. Additionally, didactic resources that can be used to convey certain abstract ideas of non-Euclidean geometries and topology to a second cycle of ESO (Secondary Education) class are examined. Finally, an activity is conducted in a classroom, and conclusions are drawn.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Jordi Font Gonzàlez
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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