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Title: | The differential geometry behind Maxwell’s equations |
Author: | de Muniategui Climente, Martı́n |
Director/Tutor: | Cirici, Joana |
Keywords: | Geometria diferencial Treballs de fi de grau Equacions de Maxwell Física matemàtica Differential geometry Bachelor's theses Maxwell equations Mathematical physics |
Issue Date: | 11-Jun-2022 |
Abstract: | [en] Modern physics relies heavily on differential geometry in order to establish the mathematical formulation of its conceptual framework. This tendency started with Maxwell’s equations in the XIX century and has since then only intensified. This work aims at establishing a more geometric approach to Maxwell’s equations using differential forms in order to generalize them to other manifolds than \mathbb {R}^3, an imperative for any physical theory ever since Einstein laid the foundations of Special and General Relativity. We will therefore show a modern approach to physics delving into differential geometry to define the objects that we will deal with in Maxwell’s equations which will give us deeper insight about the mathematical structure of these equations and their physical consequence. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Joana Cirici |
URI: | http://hdl.handle.net/2445/192109 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_de_muniategui_climente_martin.pdf | Memòria | 688.07 kB | Adobe PDF | View/Open |
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