Ordinary Differential Equations 11 | Banach Fixed Point Theorem

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This is my video series about Ordinary Differential Equations. We talk about orbits, solutions, continuous functions, differentiable functions, and integrals. I hope that it will help everyone who wants to learn about it.
#OrdinaryDifferentialEquations
#Orbits
#Mathematics
#Calculus
#LearnMath
I hope that this helps students, pupils and others. Have fun!
(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)
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[@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 ?