Physics vs Math: Comparing Difficulties

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SUMMARY

The discussion centers on the comparative difficulties of mathematics and physics, with participants expressing varied experiences. Many find mathematics, particularly Real Analysis, Abstract Algebra, and Topology, easier than introductory physics courses. The consensus suggests that success in physics often requires a different mindset, emphasizing intuition and approximations, while mathematics relies on structured thinking and rigorous proofs. Participants agree that both disciplines present significant challenges, but enjoyment and teaching quality can influence perceived difficulty.

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  • Understanding of Real Analysis concepts
  • Familiarity with Abstract Algebra
  • Knowledge of Topology basics
  • Basic principles of Newtonian mechanics
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  • Explore advanced topics in Real Analysis
  • Study the principles of Abstract Algebra in depth
  • Investigate the applications of Topology in physics
  • Learn about the role of intuition in solving physics problems
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Students and educators in mathematics and physics, particularly those interested in understanding the cognitive differences between the two fields and improving their problem-solving skills in both disciplines.

  • #31
owlpride said:
Why not? What prevents me from stopping at a point and then start walking into a different direction?

My roommate wants to know if you were joking. He has a crap sense of humor. Were you? Or did you seriously ask why you can't turn a corner without decelerating?
(that's the key to the problem, he's not slowing down as he turns the corner).
 
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  • #32
physics is better.
 
  • #33
owlpride said:
Why not? What prevents me from stopping instantaneously at a point and then start walking into a different direction at the same speed as before?

The fact that you don't want to rip your body apart by trying.
 
  • #34
My roommate wants to know if you were joking. He has a crap sense of humor. Were you? Or did you seriously ask why you can't turn a corner without keeping the same velocity?
Is your roommate about to show me how I would walk along a circular path with constant velocity?
 
  • #35
I think the idea that heresy is trying to very subtly and condescendingly imply is that you need a deceleration. The only way for you to be going a certain speed and then to stop instantaneously is if an infinite force is applied to you, hence the ripping apart of your body. But if you measure your distance in steps, You can stop instantaneously because your measurement of distance is discrete. and then you can start at the same speed once again for the same reason.
 

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