Earlier quoted context omitted.
I'd disagree and have done exactly that. I started with a reasonable basis in physics, but self studying through an entire course dramatically expanded my understanding. For an example of what I mean this [1] is Feynman's lecture on conservation of energy. It's something every schoolkid learns -- I'm fairly sure I saw my first pendulum from the nose demo in middle school, yet Feynman will take this and make you compl…
Conservation of energy is simply the invariance of a system to translation in time: the system shows the same time evolution from a well defined starting state regardless of whether that state exists at a time t or a time t+t' with an arbitrary t'. This is one application of Noether's theorem. This is an example of a topic that unstructured self study would likely skip. But it is included in every properly structured…
So you want to learn physics (second edition, 2021)
51–60 of 73 posts
Re: So you want to learn physics (second edition, 2021)
#52Earlier quoted context omitted.
Conservation of energy is simply the invariance of a system to translation in time: the system shows the same time evolution from a well defined starting state regardless of whether that state exists at a time t or a time t+t' with an arbitrary t'. This is one application of Noether's theorem. This is an example of a topic that unstructured self study would likely skip. But it is included in every properly structured…
Noeter theorem and energy get complicated in General Relativity, because there is no global time translation symmetry https://curtjaimungal.substack.com/p/what-is-energy-actually Ignoring that, saying "energy must exist because of Noether and time-translation" doesn't really tell what energy actually is, not a very satisfactory response
Interesting.
> This is an example of a topic that unstructured self study would likely skip.
I'm not studying physics – could you take a look at some unstructured reflexions I wrote a couple weeks ago?
Re: So you want to learn physics (second edition, 2021)
#53Earlier quoted context omitted.
I'd disagree and have done exactly that. I started with a reasonable basis in physics, but self studying through an entire course dramatically expanded my understanding. For an example of what I mean this [1] is Feynman's lecture on conservation of energy. It's something every schoolkid learns -- I'm fairly sure I saw my first pendulum from the nose demo in middle school, yet Feynman will take this and make you compl…
Conservation of energy is simply the invariance of a system to translation in time: the system shows the same time evolution from a well defined starting state regardless of whether that state exists at a time t or a time t+t' with an arbitrary t'. This is one application of Noether's theorem. This is an example of a topic that unstructured self study would likely skip. But it is included in every properly structured…
I still have a trauma associated with this, though, because it popped out in one exam and I could see the pages in my notes where it was derived but they were quite blank.
Re: So you want to learn physics (second edition, 2021)
#54I have no idea why these sorts of posts are popular. Past college you're not going to learn physics by trying to self-study an entire university course. The best way to learn is just to pick a small part of physics you'd like to learn (preferably related to your job), i.e. how GPS work or some fluid mechanics etc... Then learn the physics you need for that. Knowledge accumulation can't be organized in a straight line…
Re: So you want to learn physics (second edition, 2021)
#55Earlier quoted context omitted.
I'd disagree and have done exactly that. I started with a reasonable basis in physics, but self studying through an entire course dramatically expanded my understanding. For an example of what I mean this [1] is Feynman's lecture on conservation of energy. It's something every schoolkid learns -- I'm fairly sure I saw my first pendulum from the nose demo in middle school, yet Feynman will take this and make you compl…
energy = frequency of angular rotation in the complex plane of a wavefunction.
Luckily the books of Physics at high school started from practical experience and then showed the equations. So, my advice to somebody willing to learn physics, with plenty of time, no ambition to become a researcher is: go through high school books to get the gist of the subject, then go deeper with one of those university books.
Re: So you want to learn physics (second edition, 2021)
#56Re: So you want to learn physics (second edition, 2021)
#57Re: So you want to learn physics (second edition, 2021)
#58I wonder how much all the textbooks that the author recommends would cost in total...
Re: So you want to learn physics (second edition, 2021)
#59Re: So you want to learn physics (second edition, 2021)
#60How does one know whether they actually learnt physics this way. Seems a lot of reading and structure, that's great. Not convinced about whether there is a change in understanding. Typical university/college classes have assignments, quizzes, exams etc.. don't see the equivalent.