Ordinary Differential Equations 11 | Banach Fixed Point Theorem

[@expl0s10n]

When I was learning ODE, since it is done after a series of elementary analysis courses and before metric, in this course we learned a proof of Picard-Lindelöf theorem using series of function, which I find it interesting!

[@expl0s10n]

Oh btw, we revisited the Picard-Lindelöf theorem as an application of Banach fixed point principle in metric, which I believe you will cover in the next episode xd

[@NH-zh8mp]

may you do a series about semi/pseudo-Riemannian geometry and its application in Relativity Theory ?

[@brightsideofmaths]

Yes, really good idea!

[@NH-zh8mp]

@@brightsideofmaths and the Einstein-Hilbert action to derive the Einstein field equation ?