Which major to compliment physics degree? Applied or pure math?

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Discussion Overview

The discussion revolves around the choice between pursuing a degree in Mathematics or Applied Mathematics as a complement to a physics degree, particularly with a focus on theoretical physics. Participants explore the relevance of each branch of mathematics to physics, considering both direct applications and more abstract connections.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant expresses a preference for Applied Mathematics, suggesting it has a closer relationship to physics compared to Pure Mathematics.
  • Another participant questions whether a second degree in Humanities or Liberal Arts might provide a broader intellectual perspective, given that the participant will learn necessary mathematics during their physics studies.
  • Some participants note that physics classes often assume knowledge of mathematics without teaching it directly, which could necessitate self-study if a different subject is chosen.
  • There is a suggestion that it might be possible to take classes from both Mathematics and Applied Mathematics, as some core units overlap, although this could be challenging in terms of scheduling.
  • One participant acknowledges that while Applied Mathematics is likely to be more beneficial for physics, certain aspects of Applied Mathematics may also be irrelevant to the field, similar to Pure Mathematics.

Areas of Agreement / Disagreement

Participants do not reach a consensus on which branch of mathematics is definitively better for complementing a physics degree. There are multiple viewpoints regarding the relevance and applicability of both Applied and Pure Mathematics to theoretical physics.

Contextual Notes

Some participants highlight that the relevance of Pure Mathematics to physics may manifest more in advanced studies, such as graduate-level courses, and that the applicability of specific mathematical topics can vary.

dadede
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Hi. I'm entering university this year and planning to do a double degree. My chief aim would be theoretical physics.

I'm facing the dilemma that my university's math department offers Mathematics and Applied Mathematics. Since I hope that my second degree would compliment and strengthen my knowledge in physics, which branch of math should I register myself to?

I have heard that applied math related to physics more closely compared to this "pure" math, which is quite unrelated to theoretical physics. Or is that pure math related to physics in an indirect but still profound way so eventually it can helps my physics?


Thanks in advance.
 
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Would you be interested in a 2nd degree in the Humanities or Liberal Arts? Since your chief aim is to work as a theoretical physicist, sooner or later you will learn as much math as you care to learn. Why not take this opportunity to delve into a completely different subject to widen your intellectual horizons?
 
Mathnomalous: Generally Physics classes will not teach the corresponding Mathematics required, yet take it as assumed knowledge, so if he did another subject altogether, he would have the extra work of learning the mathematics on his own, which I would imagine would stretch his timetabling abilities =)

dadede: Welcome to Physics Forums. Are you sure there's no way you can't take classes from both areas? Or perhaps by signing up to the applied mathematics faculty, inside their degree you can also do the areas of pure maths that have some physical applications?

You will definitely want to pick Applied Math if you are looking at direct applicability for Physics. Pure maths has applications in Physics, I can think of Complex Analysis as an example, but this occurs more frequently in Graduate level or above.
 
Gib Z said:
Mathnomalous: Generally Physics classes will not teach the corresponding Mathematics required, yet take it as assumed knowledge, so if he did another subject altogether, he would have the extra work of learning the mathematics on his own, which I would imagine would stretch his timetabling abilities =)

dadede: Welcome to Physics Forums. Are you sure there's no way you can't take classes from both areas? Or perhaps by signing up to the applied mathematics faculty, inside their degree you can also do the areas of pure maths that have some physical applications?

You will definitely want to pick Applied Math if you are looking at direct applicability for Physics. Pure maths has applications in Physics, I can think of Complex Analysis as an example, but this occurs more frequently in Graduate level or above.

Thanks Mathnomalous and Gib Z. I have checked it out. Mathematics and applied math offered by my university are not mutually exclusive, meaning there have certain core units that are overlapped. But there are still differences... and attending classes offered by both subject would be rather impossible since it would be too tiresome.

I'm planning to take up applied math, since most probably it would serve me well in my physics pursuit. ( but then, some minor part of the aspects in applied math can be as irrelevant to physics as pure math...)
 

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