Do physicist uses pure maths or applied maths?

AI Thread Summary
The discussion centers on the distinction between pure and applied mathematics in the context of theoretical physics. It highlights that theoretical physicists frequently utilize both branches, often employing advanced concepts like differential geometry and algebraic topology, which are rooted in pure mathematics. Participants emphasize that the distinction is not clear-cut; the choice between pure and applied mathematics often depends on the intention behind their use. Many physicists use whatever mathematical tools are necessary, sometimes inventing new methods as needed. A key point raised is the relevance of pure mathematics for understanding theoretical concepts, suggesting that a strong foundation in pure math may be beneficial for those pursuing theoretical physics. The conversation also touches on the confusion faced by students deciding between pure and applied mathematics in their studies, with a consensus leaning towards the value of pure mathematics for a deeper comprehension of theoretical physics.
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Do Theoretical physicist uses pure maths or applied maths?

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What's the difference between using pure or applied maths? When you use math for something that's not math, you apply it... Also, theoretical physicists use quite a lot of differential geometry and algebraic topology which most certainly are nothing but big bunches of theorems and abstract ideas.

I would assume that every physicists uses the Pythagorean theorem and it is part of pure maths...
 
There's no sharp distinction between pure and applied math. Physicists use whatever math they need to, and invent new math if it hasn't already been invented.
 
... and sometimes even if it has.
 
Physicist apply pure math :)
 
will.c said:
... and sometimes even if it has.

A la Newton?
 
Pure/Applied math arn't very distinct in material, only intention of what you are doing.
 
by the meaning of the terms "pure" & "applied", which one do you think is used to uses?
 
It seems that as soon as you refer to dimensionable things, it's not pure math, but has been instead...applied.

(But that's just me. Wishing words to have meaning.)
 
  • #10
The real question is - do engineers use pure or applied physics?
 
  • #11
Mentallic said:
The real question is - do engineers use pure or applied physics?

Most don't remember either. OK, so it's applied--when used.
 
  • #12
erm its because I want to do a double major in theoretical physics and mathematics and the university offers either pure mathematics or applied mathematics. So I am confuse which one to take to compliment theoretical physics. Any suggestions as to which mathematics(pure/applied) is more related to theoretical physics so that I could make the right decision?
 
  • #13
At least at my uni courses in theoretical physics usually covered in hand-waving fashion the math that was required. Thus, taking pure maths helps understand the concepts. In my opinion pure maths is really the only thing worth taking. If you get the pure maths well, the applied side is usually pretty trivial to just pick up when you need it. However, this comes from someone going into Ph.D. studies in maths...
 
  • #14
Phrak said:
It seems that as soon as you refer to dimensionable things, it's not pure math, but has been instead...applied.

(But that's just me. Wishing words to have meaning.)

That makes sense.

n = 3

Heh.
 

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