you mean youtube videos?
just watch dogshit dry, it's about as educational as 99.99999% of youtube vids sans published lecture series

>>16691763
Then recommend me the other 0,00001% that's left

>>16691760 (OP)
Learn differential geometry. That's all of classical physics with conservative forces. If you want to do non-conservative stuff, then do fluid mechanics and/or rocket dynamics.

>>16691817
You are telling me that I only need to know obe mathematic discipline in order to understand the vast majority of physics?

>>16691827
Not the vast majority of it. Only classical physics and only conservative forces.

>>16691817
GR is diff geom and GR doesnt even have energy or momentum conservation..

>>16691763
absolute horseshit

>>16691760 (OP)
Riemann intregrals? the equivalent level would be this book

>>16691836
>GR is diff geom and GR doesnt even have energy or momentum conservation..
What the fuck are you on about? The continuity equation of the stress-energy tensor is guaranteed by the contracted Bianchi identity for the Riemann tensor.

>>16691760 (OP)
You mean like a standard text/source for learning classical physics?

>Physics for Scientists and Engineers (Serway and Jewett)
>University Physics (Young and Freedman)
>Physics (Halliday, Resnick, & Krane)

There are others but those are the three that come to mind.

>>16691760 (OP)
Retard here. Can some one please give some real life examples where you would want to find the area under a curve? Something more substantial than an example of pouring a curved concrete patio and wanting to know how much cement you need. All the text books say how to calculate it but never give a real life example of why you would want to calculate it. Please no bully, I am trying to come up with examples and failing spectacularly.

>>16691862
Total work or impulse applied by a process.

>>16691862
I know shit about physics but I guess you would need it for almost everything that's non-uniform? Like for exemple you have the speed of an object that can be represented with the function v(t) = t^2 and you would like to know the distance between t = 1 and t= 5, then you must integrals in order to calculate the distance.

>>16691862
It allows you to calculate the amount of air under the path of a cannonball. This is crucial since its the amount of air beneath the cannon ball which allows it to reach its target. Too little and it just drops straight back down. Too much and it flies over the top.

>>16691862
Solving the second order ODE for the free fall under the influence of friction involves solving integrals. So does the Newton's solution for the two-body-problem, where you have to solve three second order ODEs, iirc.

In general, every equation of motion that you derive from the Euler Lagrange equations involves ODEs which are solved by means of integration.

>>16691760 (OP)
There are unfortunately not so many good physics YouTube channels (unfortunately , most of them are crackpot pop-sci, Newton's laws aren't nearly as interesting as 4D space-time) but there are several wonderful books, just as encapsulating, yet more rigorous.

My personal favourites:

>Introduction to Classical Mechanics by David Morin
>Purcell Electricity and Magnetism (3rd edition)
>Thermal Physics by Blundell and Blundell
>Try Shankar for QM, Griffiths QM is overrated, although his EM book is a classic.
>Feynman lectures

If you're more on the side of pop-physics, check out minute-physics, veritasium or Richard Behiel.

>>16691862
Pretty much all of classical mechanics is based on calculus, it's not a coincidence that Newton contributed that much to both since one is just an application of the other.
"The area under the curve" is something abstract since "the curve" is just some graphical representation of a function. A typical example is the following: given a distance from a point in function of time, the first derivative will be the speed in function of time. On the other hand, if you give me a starting distance, and the speed in function of time, the integral will give you the traveled distance over a time interval dt. (example if I travel 50km every hour for four hours then I will have traveled 200km)
In other words the derivative of a function gives you the rate of change of a function at a specific point, and the integral gives you the amount of change over an interval.

>>16692183
>feynman lectures
when can physicists stop lauding this as a good introductory book? they will simultaneously suck feynman's cock as the greatest explainer ever, while ignoring that feynman himself (their literal god) said his feynman lectures were an abject failure in education and that if he could do it again, he'd do it completely differently. it's amazing physicists will lionize this man's work and his ability to explain while ignoring this deity himself admitted their favorite souce of the feynman lectures was dogshit lol

>>16692211
It covers a wide range of topics in simple language, that's why we laud it dumbass. It's not some life changing level of exposition, it's simply clear and clean cut.

>>16692223
you're missing the point. the students who received the information failed to perform and demonstrate they learned anything.

>>16692183
Feynman Lectures is a good supplement, not a good primary source.

>>16692317
I never said it was one. It's for some fun side reading, to gain some other perspectives.

>>16692317
However, honestly speaking, I prefer David Tong's notes. They are definitely far more rigorous, but they are also more deep and thought provoking imo

>>16692211
kek

>>16691858
>Halliday, Resnick, & Krane
The patrician choice

>>16691862
Biggest practical application that comes to mind is going to be determining accumulated losses/differences between an ideal and measured curve for something.