This Downward Pointing Triangle Means Grad Div and Curl in Vector Calculus (Nabla / Del) by Parth G

[@ParthGChannel]

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

[@snehapatel8292]

Hi Parth, great video. Can you please discuss about cooper pairs in superconductors in your next video? Thanks

[@shama_k2604]

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 🙏🥶

[@BlueGiant69202]

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

[@kingbeauregard]

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".

[@thermrm]

Lmao

[@Sasukej2004]

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?

[@darrellrees4371]

@@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.....

[@sugandhpriya6734]

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]

😂

[@_..---]

This channel is amazing, you always find a way to explain things better than my professors.

[@_..---]

​@ཀཱ no thanks, it didn't support xroach last time I checked

[@HackersSun]

Thank you I thought that I was the only one 😀

[@jas.c4986]

The best explaination on KZbin!!! Finally not confused anymore.

[@pruthveshmandle4978]

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.

[@SALESENGLISH2020]

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!

[@mwafrikahalisi2549]

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!!

[@aelolul]

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.

[@pragyanshsingh6093]

This is one of the best video explanation, I have watched on the vector calculus. Thanks a lot.

[@chanlee5310]

nothing else you are just creating scients in this era using your videos dont stop this keep going just damn great contents

[@BitwiseMobile]

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 :)

[@suparnaprasad8187]

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!

[@KsmithBlackstar]

This is EXACTLY what I needed. You explained everything I wanted to know but didn’t know how to ask.

[@biniyamzegeye3697]

man, this man makes it look much easier

[@JeremyChung]

Holy crap. I'm only a first year eng. student and this made perfect sense. Super well made and insightful

[@charlesudekwe2404]

Honestly, I love these explanations, they are very intuitive and brings out the physical meaning of these concepts

[@ekt2656]

I’ve been subscribed for a couple weeks now because someone mentioned the Lagrangian to me and oh boy I’m staying subscribed

[@leoclarkin5944]

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

[@Kracheta]

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!

[@halaanbar-ko1ez]

i've watched this video more than once , every time i'm amazed , you explain it so simply like telling a story . thankyou

[@penumbraman99]

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.

[@racpa5]

An extremely clear explanation. You sure talk about Maths gooder than a lot of other people.

[@cadence_wav2423]

Just a few realize how amazing is the musical taste ,which Parth G has 🤘🏻

[@dakshsharma5661]

you make me love physics.

[@shaharudinhamidun2117]

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.

[@cleitevieira]

I wish my teachers during my Physics years had taught me operators like this... Thanks, Parth!

[@raphaelkaume]

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

[@user-bz7ct3iu3v]

You are an outstanding teacher

[@ParthGChannel]

Thank you so much

[@daveuk1324]

I love this guy! Wish he'd been my physics prof back in the day!

[@placeboantwerp4312]

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!

[@gustiuwah]

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!

[@iestynjones5796]

Brilliant video. Thank you. You are a gifted teacher.

[@rd-tk6js]

very insightful yet concise, thanks !

[@mohamedah9133]

You are teach us better than our doctor 👨‍⚕️ of physics

[@KetanSingh]

You're a great teacher Parth

[@TheRealJavahead]

Whoa! Great video. Why have I only just now found your channel? Subscribed.

[@shankarim8432]

i was searching a legend like you to explain things in a smart wayyyy... since 2020

[@isd99]

Vector calculus love it

[@monoamiga]

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!!!

[@nadiakhalili9412]

the way you explain it makes it so attractive:)

[@richardngjoobeng1403]

This video is AWESOME ! Well Done !!!

[@parashar1505]

if maths was taught like this in schools, we all would be mathemticians now! genius!

[@stevekru6518]

If math teachers understood the math then it would be taught that way.

[@thecaribbeanbookworm5066]

This channel just keeps getting better and better. I love this.

[@Hasnainkhan-qd3wm]

Wawooooo Amazing Job Bro 👍. Very short time to all my questions is clear.... Thank you so much 🥰💖

[@EpicMathTime]

Beautiful presentation, as usual.

[@roygalaasen]

Just dropped by to encourage you to continue doing this. Your explanation is simply amazing. Thank you.

[@rahulr9301]

WOW in the middle of your video i paused and put like and subscribe and then i resume:). Rocking bro

[@AZ-hj8ym]

This is so beautiful！！I think I got it.Thank you!

[@LucasFerreira-dv6ol]

Dude! That is insanely amazing! Your didactic is incredible and the illustrations are so helpful! Thank you for this content, I really appreciate it!

[@guilhermemelo4434]

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

[@briann10]

eyyy same here, started with lagrange few weeks ago too.

[@yassine-sa]

I have a feeling that this guy is teaching the course you're studying hhhh

[@edubezerra35]

@@yassine-sa Or maybe some teachers are stalking our youtuber :)

[@andyrechenberg]

Best explanation of this topic that I've encountered. Great work! Cheers from Houston, TX.

[@preethi2802]

areyyy Parth G, you did a great job making this video....finally got a clear insight on wat all these terms mean!!

[@nabrajpanthi9857]

keep it up...we need more of them to make education exciting!

[@curtpiazza1688]

Wow! Clear and concise presentation! Thank you so much!!!

[@highbee700]

Thanks Parth G

[@ashfakahamed3451]

this is amazing . Sir I don't know how to say thank you to you......

[@60pluscrazy]

Fantastic explanation 👌

[@issolomissolom3589]

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

[@robineve2812]

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

[@chyldstudios]

Clear explanation of these concepts. Well done.

[@Wordsforexistenxe1911]

Sir you are doing a great job... Curious minds are happy now Thank you sir

[@miro.s]

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.

[@dennisbrown5313]

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.

[@robertschlesinger1342]

Excellent video. Very interesting, informative and worthwhile video. I never thought I'd see such an informative, yet concise explanation of these topics.

[@ferhatnusreturuc1809]

Perfect explanation, perfect speech, thanks, it is good for us to watch your good job.

[@032_pranjalagarwal9]

Some day ago i read in my undergrad course, pleasure experience.

[@maths-pro-by-khan-sir]

THANKS A LOT SIR, FOR SUCH NICE EXPLANATION 🙏🙏

[@ashfaqahmed9574]

Perfect explanation! Thanks so much!

[@timhowell6929]

Awesome vid Parth, thank you!

[@jorgeromeu]

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

[@mikeg2798]

Wish I had had that succinct explanation at university. Nice video.

[@nekelly123]

Great explanation. Thanks!

[@souptemba3092]

thank you, this is perfect. exactly what i needed.

[@parthkhanayat420]

You explained it soooooooo well, thanks a lot dude and coincidentally my name is also Parth! 😂😂

[@BerkKara]

Nice and clean explanation. Billuruna saglik.

[@patrickbrenier4361]

bravo man, you are truly gifted for teaching physics! sharing with my son;-)

[@dylenweerasekara9533]

Thanks, For introducing vector Calculus.

[@jannegrey]

I think we will need that last Maxwell Equation! Great video as usual.

[@gavinkanowitz7001]

Great video. Excellent resource for Physics teachers such as myself.

[@alameenabdullahi4812]

I really enjoyed and found the video helping

[@prantosaha9201]

It was a wonderful introduction to Maxwell's equation.

[@MamToCos]

Hard things are explained in easy way. Good work! 👌 Thank you. 😀

[@raorahulyadav4794]

amazing and clear explanation

[@erahmawati]

excellent explanation 👍👍👍👍

[@malefetsanekoalane4549]

Outstanding explanation as always.Thanks a lot Parth.

[@brijusingh845]

Great insights.... It gives felling of nebla operator... Thanks..

[@Astartos22]

Brilliant video, thank you

[@mahanpourfakhr2267]

This was beautifully explained

[@overlordprincekhan]

Such a clear explanation! Keep up the good work bro!

[@pratikagarwal6763]

lovely explanation

[@JohnDlugosz]

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.

[@BlueGiant69202]

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

[@Verschlungen]

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.)

[@muddysneakers1]

this is AMAZING! thank you for a great video

[@terencewright2223]

Excellent video,thank you very much. Your videos or so well done and enjoyable.

[@overlordprincekhan]

9:05 It is a measurement of how much "aligned" two vectors are. Not "unaligned".

[@JB-123]

Amazing video. Solid explanations, thank you.

[@aswinvj55]

As simple as possible!

[@ramanujraman_]

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.

[@liombeendeley2167]

Rekindling a dormant part of my A-level memories.

[@MohdIrfanZ7]

Great effort at explanation.thanks

[@CheeseAlarm]

About 40 years ago I met messrs div, grad and curl. I never had a clue what it was all about. Somehow I got good enough at memorising stuff to scrape through my degree. If only the likes of 3 blue 1 brown and you had been around I might have stood a chance. I still shudder at the memory of that green Schaum textbook.

[@rd-tk6js]

Likewise, aged 57 !