Lagrangian and Hamiltonian Mechanics in Under 20 Minutes: Physics Mini Lesson

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There's a lot more to physics than F = ma! In this physics mini lesson, I'll introduce you to the Lagrangian and Hamiltonian formulations of mechanics. Get the notes for free here: courses.physicswithelliot.com...
Take the full course on Lagrangian mechanics: courses.physicswithelliot.com...
When you take your first physics class, you learn all about F = ma---i.e. Isaac Newton's approach to classical mechanics. But there's a lot more to mechanics than F = ma, and modern physicists actually more commonly use two other formulations of mechanics: the Lagrangian and Hamiltonian formalisms. In this video, I'll teach you the basics of both. They're not only powerful approaches to classical mechanics, they're also fundamental to the way we think about quantum mechanics!
Get the PROBLEM SHEET, the SOLUTIONS, and the ANIMATIONS: www.physicswithelliot.com/lag...
More to learn:
- All About Pendulums: • Everything You Need To...
- The Principle of Least Action: • Explaining the Princip...
- The Relativistic Action: • The Special Relativist...
- Noether's Theorem: • Symmetries & Conservat...
- Poisson Brackets: • Before You Start On Qu...
Online tutoring inquiries: www.physicswithelliot.com/tut...
If you find the content I’m creating valuable and would like to help make it possible for me to continue sharing more, please consider supporting me! You can make a recurring contribution at / physicswithelliot , or make a one time contribution at www.physicswithelliot.com/sup.... Thank you so much!
About physics mini lessons:
In these intermediate-level physics lessons, I'll try to give you a self-contained introduction to some fascinating physics topics. If you're just getting started on your physics journey, you might not understand every single detail in every video---that's totally fine! What I'm really hoping is that you'll be inspired to go off and keep learning more on your own.
About me:
I’m Dr. Elliot Schneider. I love physics, and I want to help others learn (and learn to love) physics, too. Whether you’re a beginner just starting out with your physics studies, a more advanced student, or a lifelong learner, I hope you’ll find resources here that enable you to deepen your understanding of the laws of nature. For more cool physics stuff, visit me at www.physicswithelliot.com.

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13 сен 2021

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Комментарии : 613

@iyziejane 2 года назад

If the Lagrangian and Hamiltonian formulations look pretty similar, to the point of almost being different notations, this is because Hamilton invented the term "Lagrangian" and codified Lagrangian mechanics as we know it, and it was Hamilton's obsession with notation that led him to make the equations look as symmetrical as possible with the P's and Q's, which paid off 100 years later with quantum mechanics

@architakumar2579 Год назад

So basically autism good

@Simon_Jakle__almost_real_name Год назад

I independently learned or realized that Einsteinian physics is diverted from Newtonian, and Newtonian can be seen in relation to the physics of Gottfried Wilhelm Leibniz (Leibnizian physics?) due to the calculus controversy both men had. Leibniz' material as a variety of Newtons from an "english mind view" whilst germans would have Leibniz as a physics "block" in a "german mind view" or mindset . So am i putting some spot on an alternative genus of physics view, on another branch in some way? Newton-Leibnizian, Lagrangian-Hamiltonian and Einsteinian physics a the three types or groups (so far?)?

@iyziejane Год назад

@@Simon_Jakle__almost_real_name I'm familiar with Leibniz as a great mathematician and philosopher, though I don't know his involvement in the development of mechanics, I will read to learn more about that. Certainly Hamilton and Lagrange built on the work of Euler and the Bernoulli's as well as Newton, so I agree that the development of mechanics was a fully cross-national effort.

@Simon_Jakle__almost_real_name Год назад

@@iyziejane I guess i am not a very integer physics mind, because the world of knowledge (and ist effects possibilities) is so vast and the changes beneath humanity happen to swift and kinda-feel absorbing too often, but i went through some rather german based physics history and my recocnition would be: Distinguishing physics i would see a seven level pyramid, beginning in the antique then around the 16th century Kopernikus, Galilei and Kepler to be followed by the Lagrangian-Hamiltonian physics with Kelvin and Maxwell as a next level until physics put foot with Einsteinian-Planck-ian physics (with some Conrad Röntgen) plus some ingenious Material from/by Niels Bohr, Enrico Fermi, John Wheeler and Hawking. And then entanglement with chemistry. Until the mostly too demanding algorithm of Peter Shor. But as often i cant intensivate such a list if i would try to explain the view in my mind, i rather try to spot and count "the genuses of trees" in/near the world of minds (now and then). Furthermore, Carl Friedrich Gauß (Gauss) must have been an astonishing person, not just/only about physics.

@n0nenone Год назад

@@Simon_Jakle__almost_real_name sophisticated Englishmen be like

@davidgustavsson4000 2 года назад

I wish I had learned this before quantum mechanics. We essentially had a half semester course racing from "what is an operator" through "what's a Hilbert space" to "this is the Schrödinger equation, good luck!". It hasn't even occurred to me to try using Hamiltonian mechanics in classical physics.

@reckerlang2163 2 года назад

QM be like: Wave functions live in Hilbert space. What is a wave function? IDK This is Schrödinger eq., solve it More TISE in 1D square well and SHO There exist some operators...collapse of wave function "Bra" and "ket", I can't "c" Some random n, l, and m stuff Here is spin, which is a kind of angular momentum, except it has nothing to do with movement Every word professor said makes sense, but after a lecture everyone is more confused than ever Prof: think QM is bad? Get ready for E&M! Me: deliberately looking for a way to switch major despite being almost done with undergrad Also me: dead inside😭

@celsogoncalves7348 2 года назад

@@reckerlang2163 @Recker Lang These concepts aren't really as tough as it seems. If you're familiar with classical physics, specially electromagnetism, you can assimilate them very easily with good texts. Quantum Mechanics by mcintyre made QM concepts natural to me, showing the cradle experiments and how they led to the current understanding of those phenomena.

@reckerlang2163 2 года назад

@@celsogoncalves7348 Haha thanks for the advice. I found Griffith’s “Intro to QM” kinda good too tbh. I am definitely not quitting now cuz I really like physics. Cheers my fellow physicists 🥂

@thomasrhodes2178 2 года назад

We were taught Hamiltonian Mechanics in Classical Mechanics to lead us into QM and Schrodingers Equation more than its use in CM. Schrodingers Equation seemed natural this way.

@reckerlang2163 2 года назад

@@themongoman Very valid point! Even with Griffith, we see a lotta stuff where we have to skip due to “lack of knowledge of mathematical methods”, thus no actual “solving” the problem. Seeing QM in undergrad is both exciting and terrifying b/c like you said we are not ready to see this kinda stuff even after taking modern physics, ordinary Diff. Eq, and linear algebra. Math is everything in QM, and I remember there was once a friend of mine who is working toward his master degree in theoretical physics tried to explain me outer product and spin using group theory, yet I know nothing about it :( (my math major roommate just learned group theory this year lol) I suppose this is also why there is only 1-2 “real” QM course in undergrad. Thank you for your advices! Physics 4 Life! (OMG I have never received reply this long on RU-vid, thank you so so much for typing all this up to help a physics newbie out, much appreciated!)

@mintakan003 2 года назад

Future topic suggestion. Noether's theorem. Symmetry. Why is this so important for physics and math?

@PhysicswithElliot 2 года назад

Thinking of doing Noether next!

@thesuperkat943 2 года назад

@@PhysicswithElliot you could say it’s the topic for, a-Noether video

@PhysicswithElliot 2 года назад

@@thesuperkat943 *clap clap clap*

@jay-5061 2 года назад

@@thesuperkat943 bruh

@daniellockhart8594 2 года назад

Yes!!

@douglasstrother6584 2 года назад

As a Physics Freshman, I recall reading the terms "Lagrangian and Hamiltonian Mechanics" in the course description for the Upper Division Classical Mechanics couse and thinking "What does that even mean?". I figured that I'll learn that when I get there. I got there about 40 years ago!

@silverspin 2 месяца назад

Inspires me as an undergrad

@douglasstrother6584 2 месяца назад

@@silverspin Stick with it! Learn how to draw pictures and visualize all of the crazy Physics Stuff; it's essential for building intuition. Be open-minded about finding your knack: you may find that you have an affinity and talent for something you haven't even tried yet.

@sanori-cs 2 года назад

1:49 Newtonian formulation 5:44 Lagrangian formulation (L = K - U) 10:59 Hamiltonian formulation (H = K + U)

@ronissilva9570 Год назад

I would say: Newtonian formulation (Σf=mä) Lagrangian formulation (L = K - U) Hamiltonian formulation (H = K + U)

@aug3842 Год назад

@@ronissilva9570ä would snap! i think ur thinking of ẍ lol

@ShanBojack Год назад

@@aug3842exactly

@user-cr7qf3ik9g 8 месяцев назад

Thank you

@Bayners123 2 года назад

What a clear summary, with well thought out supporting materials. You cut to the essence but leave pointers for people to find the details. Great work!

@PhysicswithElliot 2 года назад

Thank you!

@lelomambueliane4915 2 года назад

Can it be denied that this guy solves the most difficult problems? ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-pkw92_Jpv1E.html

@JeffSchneiderMusic 2 года назад

Me thinks this is going to be a great RU-vid channel!

@alvarol.martinez5230 2 года назад

damn didn't expect you of all youtubers to comment on a video like this!

@chriscopeman8820 2 года назад

@@alvarol.martinez5230 Amanda Chaudary from Cat Synth Tv did a video on "square root of pi" for pie day. Multi-dimensional people have multi-dimensional interests.

@fernandosantosviana7971 2 года назад

lagrangian and hamilton are just talking about energy wich comes from newton phisics, no big deal

@LSC69 2 года назад

It's "methinks," one word.

@JeffSchneiderMusic 2 года назад

@@LSC69 Noted. And that's why I'm not the Schneider with the PhD 😆

@PunmasterSTP Год назад

This really blew my mind, and once again I'm so glad that educational material exists on RU-vid. Thank you for spreading your knowledge; it was mechanawesome! 👍

@dtcarrick 2 года назад

As a physics teacher I can safely say this is amazing! Succinct and encouraging for a student. Well Done.

@PhysicswithElliot 2 года назад

Thanks Tom!

@rdatta Год назад

Very well done! Brilliantly conceived and the use of a consistent scenario makes for a really instructive study.

@S1nwar Год назад

the Lagrangian was the most beautiful thing when meeting it in the early courses of studying physics. the way you can just throw away all the complicated geometric/vektor assesments you have in newtons method and just use the energies is so efficient

@NovaWarrior77 2 года назад

Absolutely awesome. I finally found somewhere that got past the H=KE+PE of Hamiltonian mechanics AND actually explained the point. Thank you.

@PhysicswithElliot 2 года назад

Glad it helped!

@obetancourtra 2 года назад

Thanks for this. I've worked with a considerable amount of lagrangians and hamiltonians in my macroeconomics class to determine optimal paths of investment or consumption. It's always interesting to see where our mathematical tools come from.

@PhysicswithElliot 2 года назад

Glad you liked it Orlando!

@DrDeuteron 7 месяцев назад

And it’s great to see where our 401ks go.

@endormaster2315 2 месяца назад

I cannot describe how wonderful this video is. You have encouraged me to learn in my own about a topic I didn't know I liked

@givemeyourfish Год назад

I went to graduate school for engineering and that was the best explanation of the Lagrangian/Hamiltonian I have ever listened to.

@tedsheridan8725 2 года назад

Very clear and well presented. I briefly learned Lagrangian and Hamiltonian formulations 20 years ago in Dynamics and promptly forgot them. Now I'm teaching myself more physics and they keep popping up. Thank you!

@PhysicswithElliot 2 года назад

Thanks Ted! Glad it was helpful!

@oak3785 2 года назад

these videos hit different and get more appreciation post graduation, forgot what got me into physics in the first place but your videos bring me back in

@rajendramisir3530 Год назад

Interesting and fascinating. I like the Hamiltonian Flow. Path of least action vs Path of least resistance(electron flow). Just beautiful stuff!

@Ligatmarping 2 года назад

Nice work! Im a math guy who started studying a little physics after many years; I like it a lot.Greetings from Argentina.

@abdullahkarolia3418 Год назад

I've been confused for a whole semester on Lagrangian mechanics and this actually made it very clear, I might actually pass now, thanks!

@dbracale Год назад

Wow. The best video I have seen in the last year! Great explanation. I learned a lot!

@nbnvideo 2 года назад

Wow, really really wish that this had been available before I studied quantum physics! Thanks for making the vid!

@nicepajuju3900 2 года назад

Wow this mini lessons are very good!! very clear and straightforward presentation

@chaizixuan6531 2 года назад

An amazing mini-lecture!

@vtrandal Год назад

You, my friend, deserve millions of subscribers. Such wonderful content you are delivering here! Thank you! I wish you the best in all you do.

@PhysicswithElliot Год назад

Thank you Vincent!

@SyedShah-os7ck 2 года назад

Really amazing and simplified explanations

@DivyanshMMMUT 2 года назад

5:36 that point that you mentioned is such a key to start loving physics if I have to put it I would say love for physics is not a love at first sight it Starts from zero and grows more and more and you can now never hate it.

@annakapp7087 2 года назад

Please keep making more physics videos. This was so helpful.

@PhysicswithElliot 2 года назад

Thank you Anna!

@InferiorPotassium93 2 года назад

this is incredibly good content. thanks for making it

@paulwolf3302 3 месяца назад

Well done. I've heard of these but don't think I learned this in undergrad engineering. I was able to listen to your explanations and understand them, taking your word for it that you were doing the math right. That takes too much patience, and I would never use it in my profession, but if I can just grasp the basic ideas that is really educational and you never know how you might use them.

@brightibezim1486 Год назад

Thank you. Enjoyed your Physics videos. Been a long time since I jumped from Physics to Programming.

@stevewhitt9109 2 года назад

Very best (and simplest) Lagrangian and Hamiltonian explanation

@Mayank-mf7xr 2 года назад

My favourite of these is the Hamiltonian formalism because of its use in Statistical Mechanics and Quantum Mechanics. It really gives a new and very powerful perpective to ask and answer difficult questions about systems we cannot hope to deal with using bare Newtonian Mechanics.

@ioanab7076 Год назад

Yes very clear video, you make these concepts very enjoyable to watch and listen to.

@AppliedMathematician Год назад

Yes, do a few calculations using Lagrange mechanics! That really helps to appreciate it, especially for constrained systems.

@namitkamani4732 Год назад

Love from India Mr.Elliot❤I am really enjoying your videos...they are very conceptual...you explain so nicely everything..Please make whole playlist of quantum field theory from basics....God bless you🙏

@gideonk123 2 года назад

Fantastic explanation! Regarding the 2 different types of curves in phase-space after 17:00, I presume the internal ones, which touch the horizontal axis (dp/dt = 0) are where the pendulum swings back and forth (momentarily zero velocity when changing directions). The 2 external curves are where the pendulum swings/rotates around the pivot point: one is clockwise rotation and the other is counter-clockwise rotation.

@PhysicswithElliot 2 года назад

Yep!

@aqeel6842 2 года назад

More math in Lagrangian and Hamiltonian Mechanics? Wonderful, I look forward to learning it

@jimsal78 Год назад

Was just thinking the -p²/2m was very reminiscent of shrödinger. Then I watched the end and you were speaking of quantum mechanics using the Hamiltonian. I've been out of physics now for a few years and had forgotten how much I enjoyed doing it. Thank you.

@John-mn7op 2 года назад

Most helpful 20 minutes that I’ve ever spent on this topic!

@PhysicswithElliot 2 года назад

Glad it was helpful!

@liemlucas 2 года назад

Great video and explanations. We essentially exclusively use Lagrangian mechanics in microeconomics bc of the simplification of all the moving parts involved

@nathangodefroy3738 2 года назад

Thank you for making a hard subject more approachable. Great channel!

@PhysicswithElliot 2 года назад

Thanks Nathan! Glad it helped

@MuhammadRamzan-tf6br Месяц назад

Amazing, thank you so much. It was music to the ears listening to you!

@sdsa007 2 года назад

Amazing stuff! I’m on my way to towards understanding Schrodinger’s famous equation! This is the best compare/contrast between Lagrangian and the Hamiltonian on RU-vid… although it would be cooler if I could see a ‘phase’ space for the Lagrangian… ( would it be the same?).

@milind11 2 года назад

Good stuff. Keep pouring the knowledge.

@ClaudioPedrazzi 3 месяца назад

Thanks a lot for sharing, very didactic indeed. Exactly what I was looking for, to get a quick introduction in the two different approaches!

@robertschlesinger1342 2 года назад

A very worthwhile refresher video.

@justchecking905 2 года назад

Finally you have enabled me to understand these three formulations of mechanics that I first learned in graduate school in 1968. I have no need of them now as a retired scientist but thank you!

@maalikserebryakov Год назад

There are more formulations

@trollfacegaming9063 Год назад

@@maalikserebryakov who asked

@snowman8241 2 года назад

I would like to give you some serious credit for your teaching abilities and methods. This is movie is excellent material to study for a teacher, and has great pedagogic value. I'm not trying to shit on teachers. I have the education to be a high school teacher myself, and I find your movie very inspiring and that it shows me new way to view physics. Bravo!

@stijncousin4891 2 года назад

The Lagrangian formalism can also be derived from the principle of virtual work, which in itself is already a very strong formalism for classical mechanics. I prefer this approach since it more naturally accounts for non-conservative forces too. Maybe an idea for a future video?

@youxizhang1171 Год назад

Thank you very much ! This video explain in a most clear way .

@kingstonstreet3726 2 года назад

I’m just here to support you and I don’t know anything about physics but I will watch to support and learn about it

@beatriztamayogutierrez7646 Год назад

Best video on youtube by far! So helpful

@user-zo1wv8cx5s Год назад

Thanks for the explanation, it really helped me understand

@pedroafonso8384 2 года назад

This so underrated.. please dont stop doing content like this!

@PhysicswithElliot 2 года назад

Thanks Pedro!

@martinfierz 2 года назад

Thx for the nice video! Tip: when you introduce something new (like Lagrangian and Hamiltonian mechanics), then produce a SIMPLE problem for viewers to try to solve on their own, and only after that a more complex problem

@TheAndresOpeth 2 года назад

Wow... this video was extremely awesome. I really appreciate this kind of content. I surcribed to the channel already. Looking forward to seeing more content like this. Also is outstanding that you take the time to upload problems. Congratulation this is a quality content.

@PhysicswithElliot 2 года назад

Thanks Andrés!

@feynstein1004 2 года назад

This was easily one of the best videos I've ever watched. Subbed

@PhysicswithElliot 2 года назад

Thank you!

@feynstein1004 2 года назад

@@PhysicswithElliot My pleasure. Literally 😃

@spiderjerusalem 4 месяца назад

Instantly subscribed. Great channel!

@urieldaboamorte Год назад

I'm an Econ undergrad and it's nice to see how similar these approaches are to what I saw in an intro to Dynamic Optimization.

@saatviknarain2413 2 года назад

Great explanation. Thanks!

@amahlendlovu9992 2 года назад

Thank you so much for saving my semester. I'm doing a second year classical mechanics course and I haven't been understanding most of lagrangian and hamiltonian. But now I do. Excellent tutorials

@PhysicswithElliot 2 года назад

Glad it helped Amahle!

@vibbruh Год назад

Y is it that we understand RU-vid tutorials so much better than our classes? Are RU-vid teachers just much much better or is our focus not on our classes or the methodology of teaching in our institutions is bad? And very nice video btw.

@nihilisticgacha 2 года назад

thank you soooooo much for this simplified yet extremely informative introduction!!!!!! I'm not studying physics but somehow the course uses a lot the terms you mentioned in this video without giving us proper explanation! and i'm too dumb and short on time to start a whole course on physics just to understand these concept. you are such a lifesaver!! 🥰🥰

@PhysicswithElliot 2 года назад

Glad it was helpful!

@lelomambueliane4915 2 года назад

Can it be denied that this guy solves the most difficult problems? ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-pkw92_Jpv1E.html

@sujitsadhnani750 2 года назад

just what i had been searching all day

@MichaelBrueckner 2 года назад

Remember encountering this almost 50 years ago (TU Berlin) - Theoretical Physics I (I think, you'd use 101). We used to talk of Eulerian observer and Hamiltonian observer. One sitting at the river bank and the other swimming, sort of fun thought experiment using the respective equations.

@olivierbarbe9269 Месяц назад

Great video thanks, very clear and engaging

@jflopezfernandez 9 месяцев назад

Awesome explanation, thank you!

@heheheh7191 2 года назад

What an amazing channel! You’ll blow up some day.

@DeepakKumar-yo7xd 2 года назад

Appreciating your effort. Well done!

@PhysicswithElliot 2 года назад

Thanks Deepak!

@benjaminbirdsey6874 10 месяцев назад

Nice exposition. You can get another form of "mechanics" from the Liouville Theorem / Liouville Equation. This can be formulated with a bracket functional that is similar to the commutator in quantum mechanics. It would also have been interesting if you could have gone into the canonical momentum and the conjugate momentum in the Hamiltonian formulation.

@mritunjayjha2872 2 года назад

Awesome!!!! Spark needed for continuing from Newtonian to Lagrangian and Hamiltonaion.....

@omaralhafez5014 Год назад

This is really good video 😢 I was so confused why Lagrangian and Hamiltonian have been ever studied, now I'm convinced and satisfied 😊😊

@jeongdaeseo384 Год назад

how wonderful explanation! thanks very much.

@eliasjazz 2 года назад

If only there had been this channel during my university times , I would have been one of the best in my class, excellent explanation , thank you

@PhysicswithElliot 2 года назад

Thanks!

@BlastinRope 2 года назад

Yeah but when this video exists so do algorithms whose purpose is to feed you a functionally infinite amount of content that it predicts you will waste your time on, so it balances out.

@richardneifeld7797 2 года назад

I enjoyed your video. I suggest a video comparison the axioms of classical mechanics, quantum mechanics, special relativity, and general relativity, and perhaps quantum field theory.

@davidwright8432 2 года назад

That takes a tad more math than this video is pitched at.

@anshumantripathi3977 2 года назад

This channel will soon reach million subs.

@treborg777 2 года назад

I wish this had been presented in my grad school classical mechanics course.

@joegreenthal2931 2 года назад

Great video. When you're serious of classical mechanics is completed I'd like to see the solution for the 1st 2nd order differential equations using numerical analysis.. This analysis of course would would be another set of videos but you could tie it back into these classical mechanics videos.

@PhysicswithElliot 2 года назад

Thanks Joe! You might like playing with the animations I wrote, which work by solving the differential equations numerically. I'll think about doing a video about numerics at some point in the future! The animations are linked here: www.physicswithelliot.com/lagrangian-hamiltonian-mini

@setyokabul 2 года назад

Thanks...🙏 This helpful for my study..

@biswajitbhattacharjee5553 Год назад

These views of classical mechanics has huge huge success and benifit for "physics, engineering" like calculus. But real problem is now appearing in the name of String theory , Quantum field theory , standard model no doubt quantum theory. Very good class, thank you.

@sujitsadhnani750 2 года назад

phenomenal work

@ckcmedia43 Год назад

Thank you very much dear eliot.3 in 1 shot.

@mariaclaratapascogiraldo3802 Год назад

Thank u so so much, your videos helped me a lot!

@frankreashore Год назад

Another amazing video. Thanks.

@GM_Neo Год назад

All of a sudden I'm glad I kept this video in my watch later for over a year because coincedentally I took calculus and understand some of it

@nataliiaproshunina-lc5gm 3 месяца назад

Thank you sir for wonderful channel to learn physics!

@Sorvah 2 года назад

this is the physics content I've been searching youtube for

@PhysicswithElliot 2 года назад

Thanks Jenssy! Let me know about the things you'd be interested in learning about!

@peterpoperzius3776 Год назад

great video, elliot. thank you

@hernandezdiazjuanpablo9817 2 года назад

What a great video, i really liked it !

@rudyd8403 2 года назад

A vivid memory is when my lecturer switched from fixed ("newtonian" Elliot calls it though everything he talked about is actually newtonian) to generalized coordinates like Lagrangian. I later went back to earlier chapters in my trextbook and found it much easier to solve some of the problems there with the new lagrangians. I'm an EE but won't forget the excitement that that revelation brought.

@michaeljeynes6495 2 года назад

Can you recall which mechanical problem would be the easiest or most basic problem which the Lagrange methods solve better than the usual?

@maalikserebryakov Год назад

The Lagrangians and hamiltonian formulations were made after newton died and hence are not newtonian. Read the names. 🤡

@stevennowo 2 года назад

Wow, it's so amazing. I tried to understand it, I'm from Colombia, I don't have a really good english, but u explain so clean. I'm going to suscribe!

@PhysicswithElliot 2 года назад

Thanks Steven!

@frh_astroboy8215 3 месяца назад

Brooo u explain a lot... Thanks I love ur teaching method. I learn more in less time❤❤❤❤❤❤❤

@foolish1193 2 года назад

Please do more on Lagrangian and Hamiltonian equations.

@johnpapadopoulos9057 9 месяцев назад

Marvelous. Enlightening.

@makespace8483 2 года назад

Good job! Thanks.

2 года назад

Superlative video. I have been teaching Science in Patagonia Argentina for half a century and I so appreciate your talents. I shall share with students if you allow me. Cheers from frozen Patagonia.

@PhysicswithElliot 2 года назад

Thanks Peter!

2 года назад

@@PhysicswithElliot It is an honour.

@ammyvl1 2 года назад

Woah. Admittedly, the Euler-Lagrange equation, and Hamilton's equations came out of left field (as someone who has never encountered either, but has a sufficient bearing in calculus to understand), but even so, it was really cool to see them work like this, and I'd definitely want to check up their derivations and read more after watching this.

@ammyvl1 2 года назад

rewatched and it's still awesome I love this video

@theonionpirate1076 2 года назад

This was really good. Like, _really [expletive] good._

@carlosmadriaga1409 2 года назад

I'll take bs physics even I'm too bad at math, and not doing well at my hs causes Dyslexia. love these kinds of videos dude, thanks.

@johnpayne7873 2 года назад

New viewer, old physicist. Channel takes me back to reading Feynman’s lectures. From your comparison between Lagrangian and Hamiltonian formalists, I have developed a deeper intuition of the Principle of Least Action. Maybe a topic already covered?

@PhysicswithElliot 2 года назад

Covered here!: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-sUk9y23FPHk.html