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90 p, 819.8 KB

Differential Galois theory : groups of symmetries in differential equations / Claramunt, Joan ; Ara, Pere, 1959- , dir. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Universitat Autònoma de Barcelona. Facultat de Ciències
The aim of this project is to study homogeneous linear differential equations through their own groups of symmetries, preserving both the algebraic and the differential structures of them. We introduce the differential structure over rings and fields, and define the analogue concept of a splitting field, but for homogeneous linear differential equations. [...]
L'objectiu d'aquest projecte és estudiar les equacions diferencials lineals homogènies a través dels seus grups de simetria, que preserven tant l'estructura diferencial i algèbrica d'aquestes. Introduïm estructura diferencial sobre anells i cossos, i definim el concepte anàleg a cos de descomposició, però per equacions diferencials lineals homogènies. [...]
2014
Grau en Matemàtiques [777]

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