Do physicist uses pure maths or applied maths?

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SUMMARY

The discussion centers on the distinction between pure and applied mathematics in the context of theoretical physics. Theoretical physicists utilize both pure mathematics, such as differential geometry and algebraic topology, and applied mathematics, depending on their needs. Participants agree that there is no strict separation between the two; physicists often employ pure math concepts and adapt them for practical applications. For students considering a double major in theoretical physics and mathematics, it is recommended to focus on pure mathematics to better understand theoretical concepts.

PREREQUISITES
  • Understanding of differential geometry
  • Familiarity with algebraic topology
  • Knowledge of the Pythagorean theorem
  • Basic concepts of theoretical physics
NEXT STEPS
  • Research differential geometry applications in theoretical physics
  • Explore algebraic topology and its relevance to physics
  • Study the role of pure mathematics in advanced physics concepts
  • Investigate the curriculum differences between pure and applied mathematics programs
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This discussion is beneficial for students pursuing theoretical physics, mathematicians considering their focus area, and educators developing curricula that bridge pure and applied mathematics.

matttan
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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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