> If you present the hard problem first, the student may flail around and realize: I need something to help with this!
I suffer from this. Sure, I'd like to learn physics, but what I don't want to do is learn all of it. Right now. Because what I'd rather learn is what I need to solve the problem I have. It's a silly problem, it's not real world, but it's my problem that I'd like solved.
As I've grabbed my horse and lance and rushed at this windmill from assorted directions, I quickly run into my limitations that prevent the problem being solved. I run into vocabulary problems with the math, the fact that I simply don't have the math to approach the problem (which appears to be some vector calculus -- I think. "No, you idiot, it's XYZ instead", but I don't know enough to know that it's not vector calculus, if, indeed, it isn't). I try to apply basic kinematics to the problem, but I don't know if that's enough. And, finally, it could be all of those things plus, oh, some optimization issues and, also, would you like to be introduced to the several different techniques for computing numeric integration and the differential equation solvers?
"Eeep!"
To quote the film "Addams Family Values":
Wednesday: Pugsley, the baby weighs 10 pounds, the cannonball weighs 20 pounds. Which will hit the stone walkway first?
Pugsley: I'm still on fractions.
So, yea, that's me, I'm Pugsley. It seems I need 2+ years of mechanics, calculus, and differential equations, and, probably, some time with computer based simulation all to chart the course for a spaceship to a planet for a 40 year old role playing game. Of course, I don't know what the, perhaps, abbreviated path I could take through those domains to get to be able to answer my question. That might knock a year off the study, but, unlikely. "Better to have all of the foundation" and all that. Which is true, but I'm kind of after the "reward" part here, not so much the "journey".
I don’t recommend the first book. At least in my edition the typesetting is just odd, which makes it harder to read than it should be. The front matter indicates it was typeset in Mathematica, which probably explains it. The later books in the series don’t suffer from this problem.
The videos that it was essentially transcribed from are great tho.
If it exists, you could probably replace most of the first book with just a really good explanation of the Lagrangian, with lots of examples, I think.
As I've grabbed my horse and lance and rushed at this windmill from assorted directions, I quickly run into my limitations that prevent the problem being solved. I run into vocabulary problems with the math, the fact that I simply don't have the math to approach the problem (which appears to be some vector calculus -- I think. "No, you idiot, it's XYZ instead", but I don't know enough to know that it's not vector calculus, if, indeed, it isn't). I try to apply basic kinematics to the problem, but I don't know if that's enough. And, finally, it could be all of those things plus, oh, some optimization issues and, also, would you like to be introduced to the several different techniques for computing numeric integration and the differential equation solvers?
"Eeep!"
To quote the film "Addams Family Values":
So, yea, that's me, I'm Pugsley. It seems I need 2+ years of mechanics, calculus, and differential equations, and, probably, some time with computer based simulation all to chart the course for a spaceship to a planet for a 40 year old role playing game. Of course, I don't know what the, perhaps, abbreviated path I could take through those domains to get to be able to answer my question. That might knock a year off the study, but, unlikely. "Better to have all of the foundation" and all that. Which is true, but I'm kind of after the "reward" part here, not so much the "journey".