Understanding Hamiltonian mechanics: (1) The math

great material!

Thanks! :-)

Excellent presentation and formal but ,easy to understand.

Good video to start

Good starter series on the subject of Hamiltonian mechanics.

Excellent
Thank you very much

seriously? why using x instead of q?

Super series! I look forward to going through all of them. I came across a paper of yours this week.

If you define the metric of phase space differently, you do not need to rotate the S.

the hamiltonian equations seems to be a little bit reminiscent of the cauchy riemann equations. Is there a link?

you disurve a cookie sir !

That was a great explanation! Thanks!

Hi, I think your videos saved my life. But I think it's rot-90 (grad(H(x,p))). Please correct me if I am wrong. Thank you so much

This would be more helpful if you had described the physical meaning of the symbols.

I love this video so much thank you man.

This is phisics

Great series of videos!! I've just studied a little bit of Lagrangian & Hamiltonian formalism (though the last one was merely an introduction) and this series of videos have made me understand it in more depth. Thanks!!

really good series
thanks your presentation.
I love it.and waiting more❤️❤️❤️

Thanks. You are the man!. The series is the best.

99 percent of teachers dont know what is Hamiltonian mechanics haha

Amazing

Is your rot90degrees the same as curl? Or i?

Hello, thank you for the informative explanation. Could you perhaps suggest any literature related to the topic? Thank you!

Incompressibility will give you a nice transport equation of density, which further leads to liouville equation.

Excellent.

excellent! thank you

best on the internet - excellent -pls solve examples

I need Lagrange and Hamilton for Advanced control theory courses and never learned this

Well explained Sir

Excellent explanation and visualisation, thank you!

Really nice videos! Well done.

I guess I was wanting an explanation for physicists. Reference to S and whatever, just doesn't work for me.

Woah i've never seen hamiltonian mechanics explained like this!

There's something i noticed about that last part, the flux across any closed boundary is zero == any region evolving in time preserves area (i believe this is "Liouville's theorem"?). would the divergence of [dH/dp, -dH/dx] have any special consequence if the phase space trajectory/constant H contour line is not an enclosed area?

Normal kids my age: social media, friends
Me: maths

great video series. Thanks

very nice explanation! Just find your videos recently:)

You MUST define ALL of your terms or you dont have math you have a secret code which is only useful to writer

After all these many many years I FINALLY get the Hamiltonian! Thanks

One of the best educational videos I have ever seen. It gave me much better understanding and insight than anything else I have seen on the subject.

Finally I found what I was actively searching for. Thank you!