Having this explanation as a first lesson in calculus would be a great boon to any student! Nice work Parth. I am certainly interested in more Legendre discussion from here. 🙏
Thanks for explanation about basic concept in derivative. I really enjoy watch this video and have a new perspective about understanding the concept. If we understand the meaning of every equation, I think physics is fun to study. 😅 Again, thanks for your video Mr. Parth. Keep up the good work. I'm the new subscriber here. 🙏
Hello there, i am an engineering student from India. You are like a God to me that i hadn't understood any of the Maxwell equations explained in our college but i saw your playlist, they are awesome. Thank you very much sir 😊.
Hey Path. I'm a physics student in my third year. I'm struggling a little with my statistical mechanics course. Could you make a video about the partition functions Z and Q?
_Parth ...Grateful to learn from you...👌...I Request you to do a video on Lorentz and Gauge Invariance in detail... because it holds remarkable space in physics_ *I request the above by 2nd time... previously in previous video*
@@bon12121 If we need something we have to ask...who else will ask...?...it's a kind of respect we are giving to the educator, who shares his/her perspective.
At 11:47, I got got stuck on the RHS (Right-Hand Side) of the eq. I saw the time derivative of something that already had a time derivative, q_dot.. It made me think that it might relate to the second partial derivative of q-space, acceleration. But I don't know if diferenciation (sp) distributes over multiplication, like it does over addition.
@@real_michael as good as you need to be at integration (you get some pretty nasty functions sometimes), its not so much multiple integrals but just all the properties of all the different forms that ODEs can come in. For first orders we learned: separation of variables which is pretty intuitive, exact method, "by integrating factor" (idk if thats the proper name), bernoulli, riccati, and other misc subs. For higher order derivatives, we actually only did linear eqns and for that we did undetermined coefficients, trial sln y = e^\lambda x, euler sub x = e^t, variation of parameters, and more. rn we're doing systems of odes which is like the above but like vectors kinda sorta as far as i get it now. i had to know a bit about lin alg although i havent taken it in regards to linear independence, determinants (the wronskian), matrix multiplication, linear operators (D operator), and condition?/property? of a singular matrix. also had to know euler's identity the e^itheta one like the back of hand. next we do the laplace transform which im excited for! i hope you enjoy the class next semester!
Huh. They are all zero normed split-complex (or hyperbolic quaternion) derivatives, ||∂u/(∂x/c+j ∂t)||=0 where j²=1? That suggests a few things to me: First, ∂u could be the norm of a split-complex (or hyperbolic quaternion) value which could give you are more complicated (and possibly interesting) form of these equations without that norm. Second, mapping to Euclidean space-time would give you a non-zero norm and a zero proper time interval? That implies the wave is moving at the causal limit, c, right? That's the only circumstance under which 𝛼(v) ∂t = 0 where Lorentz's 𝛼(v)=√(1-v²/c²). Either that or ∂u is constant with repect to ∂𝜏, which it would have to be if ∂𝜏=0 but wouldn't *necessarily* need to be true otherwise. Except 𝜏 and t aren't independent parameters of the function u. Third, it implies ∂u/∂x is the derivative of ∂u/∂t with respect to 𝜃=Arg(∂u/(∂x/c+j ∂t)) and vice versa due to the relationship between cosh 𝜃 and sinh 𝜃.
Sir, In the book introduction to electrodynamics, 3rd edition (Griffiths), is stated that figure 1.18 c indicates a positive divergence. Could you please explain this in the context of your video about the first Maxwell equation.
How can i contact you about a research I am conducting requiring your input? I am far from a physicist or scientist in the telluric field but I am an expert in cosmology and would love your input on something of an unconventional nature. Thank you.
