A question to physicists: Should I have an advanced level of mathematics?

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Discussion Overview

The discussion revolves around the necessity of having an advanced level of mathematics for pursuing a career in physics or astrophysics, particularly for someone transitioning from a non-technical background. Participants explore the mathematical foundations required for these fields and share personal insights regarding the journey into physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses a desire to pursue physics or astrophysics despite a non-technical background and questions the necessity of advanced mathematics.
  • Another participant asserts that a large part of modern physics relies on applied mathematics, suggesting that a good understanding of math is essential for success in astrophysics.
  • There is a discussion about specific mathematical areas that are particularly relevant to physics, including calculus, vector calculus, differential equations, linear algebra, complex numbers, and complex analysis.
  • Further mathematical topics mentioned include differential geometry and tensor analysis for general relativity, as well as probability, statistics, and various mathematical methods like Fourier Analysis and Laplace Transforms.
  • A participant questions whether it is common for individuals to become physicists or mathematicians without a prior technical background, suggesting that such cases are rare.
  • One participant advises the original poster to self-study Special Relativity, noting that it requires minimal mathematics, as a potential starting point for their journey into physics.

Areas of Agreement / Disagreement

Participants generally agree that a strong foundation in mathematics is important for pursuing physics or astrophysics, but there is no consensus on the feasibility of transitioning from a non-technical background to a successful career in these fields.

Contextual Notes

Participants express varying levels of confidence regarding the transition from non-technical fields to physics, and there are differing opinions on the necessity of advanced mathematics versus foundational understanding.

N2020Ar
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Hi there.

I'd like to ask you, educated folk, a question.
I'm graduating from university next summer. My major is the law.
Although, all the time I keep some kind of passion for physics. Even though I am not a techie. I realize that I graduated as a dummy in math, physics, and chemistry due to my teachers. They're good at their business but not at teaching.

I have one year of more or less spare time. And I decided to dedicate myself to something new. I would really like to try to submit for a physics major at some university. I would like to employ myself in the space industry. Or maybe astrophysics. It's my dream.

The question is. In order to become a physicist/astrophysicist, should I have an advanced level of mathematics?

*Excuse me for my English. It is not my native language.
 
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N2020Ar said:
The question is. In order to become a physicist/astrophysicist, should I have an advanced level of mathematics?

Yes. A large part of modern physics is applied mathematics. Astrophysics is perhaps the most competitive area (if you look on this forum everyone wants to be an astrophysicist) so you'll need a good PhD.
 
PeroK said:
A large part of modern physics is applied mathematics.

Do we can single out some subset of mathematics which is especially applied in physics?
 
N2020Ar said:
Do we can single out some subset of mathematics which is especially applied in physics?
Calculus, vector calculus, differential equations, linear algebra, complex numbers and some complex analysis. For astrophysics you would need differential geometry and tensor analysis (for GR). Probability and statistics would be useful. Plus a whole bunch of mathematical methods: Fourier Analysis, Laplace Transforms etc.
 
PeroK said:
Calculus, vector calculus, differential equations, linear algebra, complex numbers and some complex analysis. For astrophysics you would need differential geometry and tensor analysis (for GR). Probability and statistics would be useful. Plus a whole bunch of mathematical methods: Fourier Analysis, Laplace Transforms etc.
Thanks for your answer. I'll keep it in mind, that's exactly what i need.
One more question. Is it ever possible to meet a person who became a physicist or a mathematician not being a techie before?
 
N2020Ar said:
Thanks for your answer. I'll keep it in mind, that's exactly what i need.
One more question. Is it ever possible to meet a person who became a physicist or a mathematician not being a techie before?
I suspect they are few and far between. Like musicians who had no interest in music as a child. Maybe it happens.

If you want some serious advice: teach yourself Special Relativity (it doesn't need much maths). If you can do that you've got a chance.

http://www.people.fas.harvard.edu/~djmorin/Relativity Chap 1.pdf

Or:

https://www.goodreads.com/book/show/6453378-special-relativity
 
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