Is everyone's brain capable of learning physics

[Jheavner724]

Quite frankly, unless you have some true disability mentally, then I would assert you can learn virtually anything with enough effort. Of course you won't understand complicated Physics equations right away, you must learn the mathematics first. Mathematics is the language of Physics, learn Algebra, Geometry, Trigonometry, Calculus 1-3, Statistics/Probability and Ordinary Differential Equations, then you will understand almost all the Math behind the Physics. It might sound tough and boring, but Mathematics and Physics are very similar, both very exciting and useful. Also, remember that Quantum Mechanics and Relativity are college level courses, be sure that you've learned Newtonian Physics, Electricity and Magnetism and the rest of the basics prior to attempting more complex topics. Physics is astounding, it explains our world and is so interesting, but it many people forget that just "understanding" the concepts is not knowing the Physics, you must understand virtually everything about it. With regards to trying to read Physics papers (like the one mentioned before that came from the Cornell E-book Archive), you should avoid doing that until you learn the "traditional" topics taught in college. So, learn basic Physics, Relativity, Quantum Mechanics and probably a few other topics like String Theory, then attempt to read these papers. Remember that the papers are written by Physicists for Physicists, so it is obviously quite technical, don't worry about reading them much until you learn all the implicit prerequisites.

 

[MathJakob]

Quite frankly, unless you have some true disability mentally, then I would assert you can learn virtually anything with enough effort. Of course you won't understand complicated Physics equations right away, you must learn the mathematics first. Mathematics is the language of Physics, learn Algebra, Geometry, Trigonometry, Calculus 1-3, Statistics/Probability and Ordinary Differential Equations, then you will understand almost all the Math behind the Physics. It might sound tough and boring, but Mathematics and Physics are very similar, both very exciting and useful. Also, remember that Quantum Mechanics and Relativity are college level courses, be sure that you've learned Newtonian Physics, Electricity and Magnetism and the rest of the basics prior to attempting more complex topics. Physics is astounding, it explains our world and is so interesting, but it many people forget that just "understanding" the concepts is not knowing the Physics, you must understand virtually everything about it. With regards to trying to read Physics papers (like the one mentioned before that came from the Cornell E-book Archive), you should avoid doing that until you learn the "traditional" topics taught in college. So, learn basic Physics, Relativity, Quantum Mechanics and probably a few other topics like String Theory, then attempt to read these papers. Remember that the papers are written by Physicists for Physicists, so it is obviously quite technical, don't worry about reading them much until you learn all the implicit prerequisites.

Thanks for the advice. Do you not ever have the problem though of getting to the stage where there is just so much to remember? There are so many categories that once you learn something you've forgotten it a few months later because you've moved on from those topics and learning something completely different.

There is so much to remember it's crazy lol

 

[Evo]

Thanks for the advice. Do you not ever have the problem though of getting to the stage where there is just so much to remember? There are so many categories that once you learn something you've forgotten it a few months later because you've moved on from those topics and learning something completely different.

There is so much to remember it's crazy lol

This is why I suggested that you go back to basics and work your way up. Without a strong understanding of the basics to build on, you might have a harder time grasping the more advance math. Invest the time to learn from the bottom up, you won't regret it. You seem to have the desire now to make this happen, good luck to you!

 

[Jheavner724]

Thanks for the advice. Do you not ever have the problem though of getting to the stage where there is just so much to remember? There are so many categories that once you learn something you've forgotten it a few months later because you've moved on from those topics and learning something completely different.

There is so much to remember it's crazy lol

I think you're learning to broadly, probably trying to jump between Quantum Mechanics, Relativity, Classical Physics and so on, but that is more difficult than focusing on one topic. Learning is dynamic but also iterative, so you build on what you know, which is why you learn sequentially, but you also want to constantly review so that the repeated exposure helps with memory. Once you learn the fundamentals you can build more easily, and if you struggle with memory then find the way that works best with you to cope. Memory works by basically "chunking" information into "chunks" that make sense to us, which is why you use methods like acronyms to remember. Just find what works with you, and remember that learning becomes easier as you go! Good luck, I'd be happy to provide any further assistance.

 

[nitsuj]

There is so much to remember it's crazy lol

I bet there is! Remember though, similar to all that you know today; Rome wasn't built in a day.

That said why would you want to know how to solve complex physics equations?

If it's this

Sure I can read about quantum mechanics or relativity and understand what I'm reading but there is a difference between understand what something is saying and understanding why something is the way it is.

Seems like you are saying you need to be able to perform the mathematics of a subject to be able to understand it. I don't buy that for a moment. Mathematicians are not Physicists.

mathematically expressed as; physics - math = the fun part of physics

 

[WannabeNewton]

You don't need physics to understand mathematics but you need mathematics to understand physics ;)

 

[Jheavner724]

You don't need physics to understand mathematics but you need mathematics to understand physics ;)

Exactly, although to understand many applications of Mathematics you may need Physics. Anyone that says you do not need Mathematics for Physics surely hasn't studied Physics. Learning vague concepts without the Mathematical rigor is like me saying "I know how cars work, they use gas to then the wheels, thus I understand Engineering".

 

[nitsuj]

You don't need physics to understand mathematics but you need mathematics to understand physics ;)

I suppose it's an "argument" that can't be "won".

You're right, nothing works better than math at describing physics. It is "of" observed physics via measurements. My point is the conceptual side of the physics along with the "operations" of mathematics are understood without the use of numbers.

I do accounting and sometimes finance type work. Yes there is math, and no I cannot recite the math. I understand the concepts of accounting and finance and look for the appropriate mathematics to perform simple calculations to determine what I want to know. I couldn't care less how a mathematician wishes to express this "operation".

math..pufft

 

[nitsuj]

Exactly, although to understand many applications of Mathematics you may need Physics. Anyone that says you do not need Mathematics for Physics surely hasn't studied Physics. Learning vague concepts without the Mathematical rigor is like me saying "I know how cars work, they use gas to then the wheels, thus I understand Engineering".

Ah so a mechanic does not "understand" how a car "works" unless he is also an engineer... now I am catching the drift of this topic. Well with this train of thought, really only a physicist could understand how a car works. I suppose specifically a QM physicist, the rest of us simply don't understand how the car works.

 

[Jheavner724]

I suppose it's an "argument" that can't be "won".

You're right, nothing works better than math at describing physics. It is "of" observed physics via measurements. My point is the conceptual side of the physics along with the "operations" of mathematics are understood without the use of numbers.

I do accounting and sometimes finance type work. Yes there is math, and no I cannot recite the math. I understand the concepts of accounting and finance and look for the appropriate mathematics to perform simple calculations to determine what I want to know. I couldn't care less how a mathematician wishes to express this "operation".

math..pufft

I see your point, you can understand the basics of Physics without any math, but to understand it at it's core you must know certain mathematical subjects, mainly Calculus. For example, the Heat Equation is a differential equation, it's pretty hard to understand it if you don't know differential equations, and it is quite important for Physics. It is true that many Physicists consult with Mathematicians to help them, but the Physicists (usually) still understand the math quite well. Some Physicists avoid the Mathematics, but even they have to learn the basics like Calculus and it causes them a lot of trouble. The truth is, you don't absolutely need math to understand much of basic Physics, but to fully understand Physics and practice it you at least need Calculus.

 

[Jheavner724]

Ah so a mechanic does not "understand" how a car "works" unless he is also an engineer... now I am catching the drift of this topic. Well with this train of thought, really only a physicist could understand how a car works. I suppose specifically a QM physicist, the rest of us simply don't understand how the car works.

I see your point, but the Mechanic does understand the Physics in an implicit way. I have no problem with basic Newtonian Physics without much math, but to truly practice and learn Physics in it's entirety you must know the Mathematics, not all of it but still a good bit.

 

[nitsuj]

I see your point, you can understand the basics of Physics without any math, but to understand it at it's core you must know certain mathematical subjects, mainly Calculus. For example, the Heat Equation is a differential equation, it's pretty hard to understand it if you don't know differential equations, and it is quite important for Physics. It is true that many Physicists consult with Mathematicians to help them, but the Physicists (usually) still understand the math quite well. Some Physicists avoid the Mathematics, but even they have to learn the basics like Calculus and it causes them a lot of trouble. The truth is, you don't absolutely need math to understand much of basic Physics, but to fully understand Physics and practice it you at least need Calculus.

I do recognize there is math in physics, I even spelled it out mathematically. I totally understand if it wasn't clear. If that's the case it's a pretty strong point I made.

physics - math = the fun part of physics

here math is a component of physics, if you remove the math part what is left over is just fun physics...not boring & tough reinvent the wheel math physics.

 

[atyy]

Would it be really terrible if one thought that calculus is essentially the following?

1) differentiation = velocity = slope of distance-time graph
2) integration = distance = area under velocity-time graph
3) differentiation and integration are inverse operations, which is obvious if you consider that "differentiating" distance gives velocity, and "integrating" velocity gives distance.

 

[nitsuj]

Would it be really terrible if one thought that calculus is essentially the following?

1) differentiation = velocity = slope of distance-time graph
2) integration = distance = area under velocity-time graph
3) differentiation and integration are inverse operations, which is obvious if you consider that "differentiating" distance gives velocity, and "integrating" velocity gives distance.

Well snap, now I can say I understand calculus, just can't do the math. curse my flawed logic

 

[nitsuj]

It [math] is "of" observed physics via measurements.

In fact I think measurements of observed physics is what "developed" math...Newton did this I think.

 

[Jheavner724]

I do recognize there is math in physics, I even spelled it out mathematically. I totally understand if it wasn't clear. If that's the case it's a pretty strong point I made.

physics - math = the fun part of physics

here math is a component of physics, if you remove the math part what is left over is just fun physics...not boring & tough reinvent the wheel math physics.

Why do you assume math is so dull and boring? Mathematics can be just as exciting as the Physics, and the two topics are so intertwined. It is obvious that not all Physics requires a knowledge of Mathematics, but for much of Physics Mathematics is required, mainly the more complicated Physics. For example, the Schrödinger equation is a Partial Differential Equation that describes how the quantum state of a system changes over time, and you simply cannot fully understand the Physics of it without at least understanding some of the Mathematics. Everyone understands what you're saying, but the truth is that anyone doing Physics needs to know Mathematics, you would probably realize this more if you were to do more Physics. But, for a bit of convincing, even professors and physicists agree that you need mathematics (to an extent) to grasp Physics, for example Professor Susskind (Stanford Physics Professor) often says "Mathematics is the language of Physics". I fully encourage anyone to love the conceptual side of Physics, but they need to know the actual Physics and Mathematics too, and they should try to embrace both sides. Hopefully this cleared things up a bit, I do not like to argue honestly.

 

[WannabeNewton]

Mathematics can be extremely interesting. Differential geometry is one of the most beautiful things ever developed by humans IMO. One of the main reasons why general relativity is so smack me in the face elegant is how simply the physics of general relativity can be explained using the language of differential geometry.

 

[Jheavner724]

Would it be really terrible if one thought that calculus is essentially the following?

1) differentiation = velocity = slope of distance-time graph
2) integration = distance = area under velocity-time graph
3) differentiation and integration are inverse operations, which is obvious if you consider that "differentiating" distance gives velocity, and "integrating" velocity gives distance.

Well, yes and no, sometimes that simplistic thinking can be great for Physics, but other times you miss a lot for not being proficient in the Mathematics.

 

[micromass]

Mathematics is very interesting. But physicists don't need to like mathematics. I'm sure many do actually kind of dislike the math. But even those people know that mathematics is necessary for physics. How would you describe Quantum Physics or General Relativity without mathematics? There is almost nothing then. Is that the fun physics?

 

[nitsuj]

Why do you assume math is so dull and boring?

It's totally in spite, I would have loved to had my brain develop while learning complex math. But Nooo, math had to be all uncool & for the nerdy kids.

Joking aside, I like to push the idea that physics isn't "out of reach" simply because someone (like me) is not good at the math used to perform calculations. The interesting part of physics is what's being measured, what happened, to what degree, what caused it..on and on. Never would I ask what values & symbols are best used to perform a calculation & call that an interesting part of physics.

 

[Jheavner724]

Mathematics is very interesting. But physicists don't need to like mathematics. I'm sure many do actually kind of dislike the math. But even those people know that mathematics is necessary for physics. How would you describe Quantum Physics or General Relativity without mathematics? There is almost nothing then. Is that the fun physics?

Many Physicists obviously will hate the mathematics, which is why some have help from a mathematician or students. However, like you say, mathematics is entirely necessary for physics, in fact economics and physics are two of the reasons that mathematics even exists. The fun of physics is understanding the universe, and we need mathematics for that, you simply cannot have physics without mathematics.

 

[DiracPool]

I guess this is true but nobody struggles or takes as long as I do to work out a problem lol. I guess I just learn at a slower rate. There must be a time when I no longer have to keep going back to the laws to remember what I can manipulate and what I can't... but then if I truly understood it I'd know what can be moved where and how.

I can't believe we're over 50 posts here and no one has mentioned that not all brains are created equal for math and physics learning, and that should not necessarily be looked at as some kind of deficit. When I look at the above statement, I know where he's coming from. I'd remember looking at equations in college math classes and getting a big ZERO upstairs, while my classmates had their calculators out, scribbling equations of their own with their heads bobbing back and forth whistling, "boop de do." Meanwhile, they were lining up for me to help them in many of the other life science classes we were in.

It took a long time, as I've mentioned in several other threads, to realize that I was a right brain thinker and had to also come at math that way. Then things got a lot better. I learn mathematical physics best through incorporating analogies along with the construction of the equations. This allows my right brain to attach a visualization to the problem whereby I can manipulate it more efficiently. It takes a lot longer to learn this way than it does simply to list a long litany of equations and show how this follows from that, etc. Left brain thinkers have no problem with this kind of learning. Math is like a puzzle for them, here are the pieces, here are the rules, just plug and play. I wish I had a switch to turn on that resource when I'd like to have it, but I don't. Math/phys is not a puzzle for me, its a story. Once I understand the story I understand the math, not the other way around, although there is obviously a working reciprocity there.

So, I'm only taking the time to write this because I've seen many smart friends of mine turned away from science because they thought they could never learn math. I just don't think that learning differences are given enough attention. It's just my personal opinion of course, but what convinces me of this left right brain thing is when I ask a personal tutor if they could incorporate some kind of an analogy in some area that I'm not "catching," and they give me this blank stare. Obviously this person is not getting where I am coming from and it's not because I'm stupid, so don't think you are either. IDK, this might not be your problem at all, perhaps you are a left brain thinker and the issue is different. I just think that having that awareness may give you another tool to look at while you're exploring this. My advice is to try many different book and resources until you find "your style" of learning. Left brain thinkers don't need that, they mostly can just pick up any old book, and its party time. I envy them sometimes

 

[nitsuj]

How would you describe Quantum Physics or General Relativity without mathematics? There is almost nothing then.

I sincerely wonder if that's physics. Or if "mathematics" is being used very generally.

 

[Jheavner724]

It's totally in spite, I would have loved to had my brain develop while learning complex math. But Nooo, math had to be all uncool & for the nerdy kids.

Joking aside, I like to push the idea that physics isn't "out of reach" simply because someone (like me) is not good at the math used to perform calculations. The interesting part of physics is what's being measured, what happened, to what degree, what caused it..on and on. Never would I ask what values & symbols are best used to perform a calculation & call that an interesting part of physics.

No one should be discouraged from learning physics because of the mathematics. Mathematics can be learned though and it is how we describe things in physics, so if someone is simply going to avoid the mathematics and not try to learn it then they will never fully understand physics and probably will never be able to contribute to it. This is tough, because some people hate mathematics but love physics, the truth is that if you want to understand much of physics then you need to understand mathematics, so it may not be the most fun thing for many people but without it they can never fully understand the things they want to.

 

[nitsuj]

No one should be discouraged from learning physics because of the mathematics. Mathematics can be learned though and it is how we describe things in physics, so if someone is simply going to avoid the mathematics and not try to learn it then they will never fully understand physics and probably will never be able to contribute to it.

The underlined part is starting to clarify a definition for "Understand" and the "goal" that went from a "why" inquiry to contributing to the field of physics.

This is what I meant by an argument that cannot be won.

The point I'm making is clear enough I think.

 

[Jheavner724]

The underlined part is starting to clarify a definition for "Understand" and the "goal" that went from a "why" inquiry to contributing to the field of physics.

This is what I meant by an argument that cannot be won.

The two points were somewhat separate. People need to understand Mathematics to fully understand Physics. The point about contributing to Physics is a different one that is loosely related. I know that you want to be optimistic because you know that people like you do not like math and you would rather be able to learn physics without it, but it just cannot be done. For example, you cannot predict for me the changing quantum states of a system without knowing math. You may be able to tell me that they change states and even vaguely understand why, but not be able to actually predict it for me. I believe that conceptual physics is great for people to learn when they are first interested or if they are only dabbling, but true physics requires mathematics for many topics. Honestly, this is hard to fully explain to you, but knowing the mathematics and physics myself is why I know this to be true. Just look at any physics paper, there will be mathematics all over it, because that is how we describe things in physics, there is no other practical way. Some people can get away with being somewhat bad at the math, but they struggle. You do not need to know Differential Topology to know physics, but you need a good bit of math, just like to know how to be an Engineer you must also know math.

 

[nitsuj]

The point I'm making is clear enough I think.

Suppose it isn't but I'm too tired now.

this very wordy, poorly defined back and forth really does strengthen the point of the superiority of mathematics & it's use in learning and in turn understanding physics.

there's nothing to respond to in your post jheavner724, it needs to be more..."mathematical".

 

[atyy]

Well snap, now I can say I understand calculus, just can't do the math. curse my flawed logic

Well, I'll probably get scolded by micromass for this, but it was from him that I learned that 57 is the Grothendieck prime So why not just use a calculator? Like http://www.wolframalpha.com/examples/Math.html ?

 

[Jheavner724]

Suppose it isn't but I'm too tired now.

I think we both understand each other's points better than we suspect, I suppose we simply lack articulate syntax in this case. I do not want to discourage anyone from trying out anything, especially not Physics. People can learn a lot from basic conceptual physics, the problem comes more so with fairly advanced topics and the applications of physics. I would just like for anyone interested in Physics to try the mathematics, and at least understand the basics because otherwise you're just losing knowledge. Also, I hate to argue, and I feel like this conversation has become, although unintentionally, more like an argument. I wish the best of luck to anyone trying to learn physics, it is incredibly vast and fascinating. I just do not want people surprised by looking at a physics paper or book or lecture and seeing a bunch of mathematics, because mathematics is a large chunk of physics. I see exactly your point, but I suppose you just haven't studied enough physics to understand mine entirely. Regardless, anyone who wants to learn physics, do not become intimidated if you dislike mathematics and just try to enjoy the physics.

 

[Jheavner724]

Well, I'll probably get scolded by micromass for this, but it was from him that I learned that 57 is the Grothendieck prime So why not just use a calculator? Like http://www.wolframalpha.com/examples/Math.html ?

Wolframalpha is a great calculator, but it does not compute everything and can be wrong from time to time. As I think micromass will say, you should learn the mathematics if you want to learn physics, and sometimes vague conceptual understandings aren't enough. However, of course, you do not need to be a mathematician to be a physicist and you shouldn't be discouraged by the math.