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

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To pursue a career in physics or astrophysics, a strong foundation in advanced mathematics is essential, as modern physics heavily relies on applied mathematics. Key mathematical areas include calculus, vector calculus, differential equations, linear algebra, and complex analysis, with additional topics like differential geometry and tensor analysis being particularly important for astrophysics. While it is uncommon for individuals to transition into physics or mathematics without a prior technical background, it is not impossible. A suggested starting point for self-study is Special Relativity, which requires minimal mathematical knowledge. Engaging with these subjects can help build the necessary skills for a future in the space industry or astrophysics.
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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