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tfg_rebull_mantas_david.pdf (2.77 MB)

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Bachelor thesis

Publication date

2023-06-13

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cc-by-nc-nd (c) David Rebull Mantas, 2023
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/203147

Cohomologia de deRham i didàctica de la geometria esfèrica

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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.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Jordi Font Gonzàlez

Subject

Geometria diferencial, Homologia, Esfera, Didàctica de la matemàtica, Treballs de fi de grau

Subject (English)

Differential geometry, Homology, Sphere, Mathematics teaching methods, Bachelor's theses

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

REBULL MANTAS, David. Cohomologia de deRham i didàctica de la geometria esfèrica. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/203147

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