Hi friends, thanks so much for watching this video! Now that you know about Grad Div and Curl, check out my Maxwell Equation playlist if you'd like to see how they're applied in the world of physics! kzbin.info/aero/PLOlz9q28K2e6aNgl1zt1xccyy4Ofl3YAk
@snehapatel82923 жыл бұрын
Hi Parth, great video. Can you please discuss about cooper pairs in superconductors in your next video? Thanks
@shama_k26043 жыл бұрын
Please cover the remaining equations so that you explain all 4 of them in both their integral and differential form...!!! It's the need of the hour Parth 🙏🥶
@BlueGiant692023 жыл бұрын
This video is very good but does not make use of Geometric Calculus, so will make movement to 4d and the Dirac equation a bit harder. Would you consider presenting and explaining the Maxwell equation of Geometric Calculus? The symbol del/nabla is used in Geometric Calculus for a similar but more general operator ( a box is sometimes used to make it clear that it is not a 3d Del but the Dirac operator acting as a derivative of a point on a higher dimensional manifold. Del F = J is the Maxwell equation. Del F = Del dot F + Del wedge F. F is a BIVECTOR field. Anthony Lasenby on use of Geometric Algebra and Geometric Calculus in Physics kzbin.info/www/bejne/rmjIfXiqotZphrs
@kingbeauregard3 жыл бұрын
In 1986 or so, my differential equations instructor (Dr Joseph Egar, Cleveland State University) defined operators thusly: "An operator is a animal that eats functions and spits out functions." Then sometimes he'd correct himself: "well, not so much spit them out, they come out the other end".
@thermrm3 жыл бұрын
Lmao
@Sasukej20043 жыл бұрын
idk why but lately ive been seeing a lot of physics and math comments from "1986" talking about their experiences. Can sum1 pls tell me whats going on?
@darrellrees43712 жыл бұрын
@@Sasukej2004 - I honestly could not begin to guess why that is. But, coincidently enough, in 1986 I was studying math and physics at university so.....
@sugandhpriya67342 жыл бұрын
Hi Parth. I really like the way you explain difficult concepts in a very easy and relatable way. Could you please make a video on tensors.
@dineshkumarv9493 Жыл бұрын
😂
@_..---3 жыл бұрын
This channel is amazing, you always find a way to explain things better than my professors.
@_..---3 жыл бұрын
@ཀཱ no thanks, it didn't support xroach last time I checked
@HackersSun3 жыл бұрын
Thank you I thought that I was the only one 😀
@SALESENGLISH20203 жыл бұрын
It's great that Parth Explains the Intuitive meaning of these operators. We use these in fluid mechanics. It is hard for most students to understand what these operators really do. Keep it up!
@mwafrikahalisi25492 жыл бұрын
I would rather say it's hard for most teachers to explain how these mathematical symbols does represent the concepts more intuitively. Generally, students will understand the meaning of these operators if they are clearly defined in their simplicity as in this series of videos by Professor Parth G. I am in awe at the simplicity of which Professor Rarth G explains these seemingly complex concepts. Kudos to the good Professor!!
@pruthveshmandle497819 күн бұрын
This is by far the best video I've seen on youTube that successfully explained me the physical significance of gradient. Thank you so much for this. The education system failed to let me appreciate the actual meaning of gradient for almost 6 years. This guy made me appreciate the idea in 5 minutes. Superb.
@pragyanshsingh60932 жыл бұрын
This is one of the best video explanation, I have watched on the vector calculus. Thanks a lot.
@penumbraman993 жыл бұрын
Wow! I’m going to have to watch this video clip multiple times. There is a lot info in this one. I’ll have to go back and rewatch your Maxwell equations video clips, too. I always wanted to understand Maxwell’s equations. I’m putting this video on my favorite list now.
@charlesudekwe2404 Жыл бұрын
Honestly, I love these explanations, they are very intuitive and brings out the physical meaning of these concepts
@Kracheta3 жыл бұрын
Wow, what an excellent video! Thanks so much for explaining so clearly. I found particularly helpful that you give the “types” of each operator, saying what kind of field they operate on and what kind of field they produce!
@dakshsharma56613 жыл бұрын
you make me love physics.
@ekt26563 жыл бұрын
I’ve been subscribed for a couple weeks now because someone mentioned the Lagrangian to me and oh boy I’m staying subscribed
@jas.c49862 жыл бұрын
The best explaination on KZbin!!! Finally not confused anymore.
@BitwiseMobile3 жыл бұрын
Watching these makes me want to freshen up on my calculus. It's been almost 30 years. I do remember curl and some of vector calculus, but it's foggy and I need a refresher :)
@suparnaprasad81872 жыл бұрын
Oh my god, this is a gem of a video. Today was my first physics class in undergrad and I did not understand head or tail of this whole concept but your animations and explanations have made it crystal clear now! Thank you so so much! This really made my day!
@guilhermemelo44343 жыл бұрын
It's funny, I subscribed to your channel 3 weeks ago, being curious about the Lagrange mechanics. So, you posted a video about virtual images, 2 days before I get to this subject on my course, and now you posted a video about these operators, on the same day I got to Maxwell Equations hahaha
@briann103 жыл бұрын
eyyy same here, started with lagrange few weeks ago too.
@yassinesafraoui3 жыл бұрын
I have a feeling that this guy is teaching the course you're studying hhhh
@edubezerra353 жыл бұрын
@@yassinesafraoui Or maybe some teachers are stalking our youtuber :)
@aelolul3 жыл бұрын
Back in college I was taught how to calculate these things, but never properly shown what they actually do (or didn't study properly to grasp it on my own). Thank you for this video, it was great.
@KsmithBlackstar Жыл бұрын
This is EXACTLY what I needed. You explained everything I wanted to know but didn’t know how to ask.
@isd993 жыл бұрын
Vector calculus love it
@leoclarkin59443 жыл бұрын
Excellent thank you, One of my Covid projects was to have a thorough understanding of Maxwell's Equations, which I last studied at Uni, 40 years ago! Back then, I took a semester course and got a very good result, mainly because I understood the Math (i.e., the Del Op gradient, Div and curl. Now the physics I still. after the course, I did not have a clue on the meaning of Maxwell's equations; now with your review of the Grad, Div and Curl I'll attempt to have a deep understanding of the ME ....Let there be Light! Again Parth much thx
@JeremyChung2 жыл бұрын
Holy crap. I'm only a first year eng. student and this made perfect sense. Super well made and insightful
@user-bz7ct3iu3v3 жыл бұрын
You are an outstanding teacher
@ParthGChannel3 жыл бұрын
Thank you so much
@chanlee5310 Жыл бұрын
nothing else you are just creating scients in this era using your videos dont stop this keep going just damn great contents
@halaanbar-ko1ez10 ай бұрын
i've watched this video more than once , every time i'm amazed , you explain it so simply like telling a story . thankyou
@placeboantwerp43123 жыл бұрын
Hi Parth, recently discovered your vids and am binging on them at the moment. They are all fantastic, in particular skimming the maths in favour of focusing on meaning. I really think you get that balance just right, for me anyway. This one is my favorite so far. Have loved to try and visualise Grad, Div and Curl for decades now and this was the best explanation I've come across. I'm going to try and give it a run with my wife, who doesn't seem to have my (our) love of physics. I think Grad, Div and Curl can all be explained with a swiming pool and velocity (speed) for vector (scalar) fields, so will supliment your video with my explanation of that. Keep up the fantastic work mate!
@raphaelkaume3 жыл бұрын
My friend you have such a gift for exposition please never stop. I'm in awe. Have watched just a few videos but immediately sub'd. In fact they're so good I've had to pause them at times and go make a nice cuppa coffee and come back later to enjoy with pad and pencil. Why oh why didn't we have teachers like this in school!!? Can you imagine on the Internet with comedy videos and cute animal videos yet you're making us chose to return again and again. Pure talent man you're opening new worlds for me. Now one of my top 4 sites for Science in general and top 2 for physics. Thank you
@shaharudinhamidun21173 жыл бұрын
You always be able to explain the complex mathematic and physics in easy way so everybody could understand the subjects. Really enjoy watching your channel.
@daveuk1324 Жыл бұрын
I love this guy! Wish he'd been my physics prof back in the day!
@cadence_wav2423 Жыл бұрын
Just a few realize how amazing is the musical taste ,which Parth G has 🤘🏻
@racpa52 жыл бұрын
An extremely clear explanation. You sure talk about Maths gooder than a lot of other people.
@EpicMathTime3 жыл бұрын
Beautiful presentation, as usual.
@cleitevieira Жыл бұрын
I wish my teachers during my Physics years had taught me operators like this... Thanks, Parth!
@andyk21812 жыл бұрын
Excellent video, wish I had found such a clear explanation of these concepts earlier. When studying electrical engineering I found it confusing that magnetic fields didn't have sources and sinks like electric fields. Actually, now it makes sense because magnetic fields don't really exist (at least that's my thinking), it's merely a relativistic effect of moving electric charges. I mean, it seems even space has sources and sinks.
@parashar150511 ай бұрын
if maths was taught like this in schools, we all would be mathemticians now! genius!
@stevekru65184 ай бұрын
If math teachers understood the math then it would be taught that way.
@roygalaasen3 жыл бұрын
Just dropped by to encourage you to continue doing this. Your explanation is simply amazing. Thank you.
@killaken20003 жыл бұрын
I recommend the books * Grad div curl and all that by schey * Student's guide to maxwell's equations by Fleisch They helped me when I was getting my EE degree
3 жыл бұрын
Good recommendations. I'm not familiar with the Fleisch book, but the Schey book is an absolute classic -- highly recommended.
@shankarim84322 жыл бұрын
i was searching a legend like you to explain things in a smart wayyyy... since 2020
@ferhatnusreturuc18092 жыл бұрын
Perfect explanation, perfect speech, thanks, it is good for us to watch your good job.
@gustiuwah3 жыл бұрын
I'll be writing an exam about this topic soon and this video couldn't have come at a better time. You da best Parth!
@timhowell69292 жыл бұрын
Awesome vid Parth, thank you!
@andyrechenberg3 жыл бұрын
Best explanation of this topic that I've encountered. Great work! Cheers from Houston, TX.
@rd-tk6js Жыл бұрын
very insightful yet concise, thanks !
@chyldstudios2 жыл бұрын
Clear explanation of these concepts. Well done.
@ashfaqahmed95742 жыл бұрын
Perfect explanation! Thanks so much!
@iestynjones5796 Жыл бұрын
Brilliant video. Thank you. You are a gifted teacher.
@biniyamzegeye3697 Жыл бұрын
man, this man makes it look much easier
@preethi28022 ай бұрын
areyyy Parth G, you did a great job making this video....finally got a clear insight on wat all these terms mean!!
@patrickbrenier43612 жыл бұрын
bravo man, you are truly gifted for teaching physics! sharing with my son;-)
@LucasFerreira-dv6ol Жыл бұрын
Dude! That is insanely amazing! Your didactic is incredible and the illustrations are so helpful! Thank you for this content, I really appreciate it!
@jorgeromeu3 жыл бұрын
Thanks a lot, im taking a numerical methods for PDEs course and i dont have the background in vector calculus, this video helped me a lot
@mohamedah91333 жыл бұрын
You are teach us better than our doctor 👨⚕️ of physics
@issolomissolom35893 жыл бұрын
One of the best and most concise explanations ever Thank you so much Why youtube algorithm doesnt show excellent videos like this Liked and subscribed
@robineve28122 жыл бұрын
Thank you for your videos explaining formulae. I especially like your analogies drawn with real life phenomena, like vectors as wind charts, and, in another video, divergence compared to running and draining a bath. All these make understanding easier. Thank you
@curtpiazza16882 жыл бұрын
Wow! Clear and concise presentation! Thank you so much!!!
@thecaribbeanbookworm50663 жыл бұрын
This channel just keeps getting better and better. I love this.
@souptemba30922 жыл бұрын
thank you, this is perfect. exactly what i needed.
@dylenweerasekara95333 жыл бұрын
Thanks, For introducing vector Calculus.
@monoamiga Жыл бұрын
Dude! You're beyond awesome. I watch physics and math videos for years (for the sake of fun and curiosity - I'm not a professional scientist, I'm a professional musician ;) ) and I FINALLY got it. This was my "aha" moment and I actually found these equations intuitively simple thanks to your straightforward explanation!!! Thank you!!!
@robertschlesinger13423 жыл бұрын
Excellent video. Very interesting, informative and worthwhile video. I never thought I'd see such an informative, yet concise explanation of these topics.
@mahanpourfakhr22672 жыл бұрын
This was beautifully explained
@dennisbrown53132 жыл бұрын
Good vid; I especially like your first def. of the Del. operator on a scalar field. In your discussion of curl, this would be better served by using geometric algebra instead of the std. curl. The "outer" product makes far more sense then the cross product.
@nabrajpanthi98573 жыл бұрын
keep it up...we need more of them to make education exciting!
@Wordsforexistenxe19113 жыл бұрын
Sir you are doing a great job... Curious minds are happy now Thank you sir
@TheRealJavahead2 жыл бұрын
Whoa! Great video. Why have I only just now found your channel? Subscribed.
@muddysneakers12 жыл бұрын
this is AMAZING! thank you for a great video
@malefetsanekoalane45493 жыл бұрын
Outstanding explanation as always.Thanks a lot Parth.
@richardngjoobeng14036 ай бұрын
This video is AWESOME ! Well Done !!!
@terencewright22232 жыл бұрын
Excellent video,thank you very much. Your videos or so well done and enjoyable.
@Hasnainkhan-qd3wm Жыл бұрын
Wawooooo Amazing Job Bro 👍. Very short time to all my questions is clear.... Thank you so much 🥰💖
@KetanSingh10 ай бұрын
You're a great teacher Parth
@JohnDlugosz3 жыл бұрын
I've seen the Div and Curl referred to as "an abuse of notation". You don't really take a dot product between the Grad and its argument, but that is evocative of what you really do.
@BlueGiant692022 жыл бұрын
How about if we use the notation of Geometric Calculus instead, where del refers to the Dirac operator as the vector derivative? del F = del dot F + del wedge F. The gradient of F is equal to the sum of the divergence and curl of F. F is a bivector-valued function on spacetime. geocalc.clas.asu.edu/pdf-preAdobe8/UnifiedLang.pdf www.math.toronto.edu/campesat/ens/1920/0317-notes.pdf
@mikeg27983 жыл бұрын
Wish I had had that succinct explanation at university. Nice video.
@rahulr93013 жыл бұрын
WOW in the middle of your video i paused and put like and subscribe and then i resume:). Rocking bro
@60pluscrazy3 жыл бұрын
Fantastic explanation 👌
@overlordprincekhan2 жыл бұрын
Such a clear explanation! Keep up the good work bro!
@nadiakhalili94122 жыл бұрын
the way you explain it makes it so attractive:)
@ashfakahamed34512 жыл бұрын
this is amazing . Sir I don't know how to say thank you to you......
@maths-pro-by-khan-sir11 ай бұрын
THANKS A LOT SIR, FOR SUCH NICE EXPLANATION 🙏🙏
@mahanteshshettar23183 жыл бұрын
Hi parth , It was a great video.... I learnt the practical way of thinking how this operator works..... Request : Do a video on ORBITAL MECHANICS , or Equations related to Space science and rocketry......
@BerkKara9 ай бұрын
Nice and clean explanation. Billuruna saglik.
@AZ-hj8ym Жыл бұрын
This is so beautiful!!I think I got it.Thank you!
@miro.s3 жыл бұрын
It is interesting how you went against conventions from implicit/contour line domain to its "dual" explicit of differentials. Gradient is never presented as a slope of a line, as derivative of explicit function. But it can be when we think in dual context of common practice.
@raorahulyadav47942 жыл бұрын
amazing and clear explanation
@jannegrey5933 жыл бұрын
I think we will need that last Maxwell Equation! Great video as usual.
@Verschlungen3 жыл бұрын
As always, Parth G's presentation is lyrically beautiful, concise, swift, and very informative! (As a point of comparison, I'm thinking of the "classic" by H.M. Shey entitled "div, grad, curl, and all that" [sic], with its odd sequence [Chapter II div, Chapter III curl, Chapter IV grad] and its bizarre notation explained on page 4n1; ugh.)
@gavinkanowitz70013 жыл бұрын
Great video. Excellent resource for Physics teachers such as myself.
@032_pranjalagarwal93 жыл бұрын
Some day ago i read in my undergrad course, pleasure experience.
@vanshmishra71199 күн бұрын
Thanks for this beautiful explanation!
@rakeshgaddala3 жыл бұрын
Very useful to understand
@nekelly1232 жыл бұрын
Great explanation. Thanks!
@alameenabdullahi48128 ай бұрын
I really enjoyed and found the video helping
@erahmawati8 ай бұрын
excellent explanation 👍👍👍👍
@highbee7002 жыл бұрын
Thanks Parth G
@JB-1233 жыл бұрын
Amazing video. Solid explanations, thank you.
@MohdIrfanZ73 жыл бұрын
Great effort at explanation.thanks
@jackrubin63033 жыл бұрын
I think about 8:12 into this video your partial derivatives may be incorrect. However thank you for explaining a difficult subject and making it simple and understandable to a 64 year old Prostate cancer survivor.
@Astartos22 Жыл бұрын
Brilliant video, thank you
@pratikagarwal6763 Жыл бұрын
lovely explanation
@shreyamtiwari16262 жыл бұрын
hey parth please make a course on quantum mechanics i think u will do a way better job at explaning it, than any other courses out there
@prantosaha92013 жыл бұрын
It was a wonderful introduction to Maxwell's equation.
@ramanujraman_3 жыл бұрын
I always wonder my physics textbook says that the negative gradient of potential energy gives force but I always wondered how come the partial derivative of a scalar could be a vector? Today I got my answer.