How much Maths does one need in Particle Physics?

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SUMMARY

To pursue a career in Particle Physics, a solid foundation in mathematics is essential. Students should aim to achieve an A in GCSE Mathematics, followed by A-level Mathematics, and ideally A-level Further Mathematics. Key mathematical concepts include differential equations, group theory, linear algebra, and calculus, which are integral to understanding Quantum Field Theory (QFT) and other advanced physics topics. While a passion for particle physics is important, students must also be prepared to study broader physics concepts that may not initially interest them.

PREREQUISITES
  • GCSE Mathematics with a minimum grade of A
  • A-level Mathematics with a minimum grade of A
  • Understanding of differential equations and calculus
  • Familiarity with group theory and linear algebra
NEXT STEPS
  • Research Quantum Field Theory (QFT) and its applications in Particle Physics
  • Study advanced calculus and its relevance in physics
  • Explore resources on classical mechanics, including Newtonian and Lagrangian mechanics
  • Investigate further mathematics topics, such as abstract algebra and differential geometry
USEFUL FOR

This discussion is beneficial for aspiring physicists, high school students interested in pursuing physics at the university level, and anyone looking to deepen their understanding of the mathematical foundations necessary for advanced studies in Particle Physics.

  • #61
hadsed said:
That's interesting (about programming). You should really continue with that. I started 'round about when you did, and I'd been thinking of doing CS my entire life onward till my last year in high school when I got to know some real physics. Still, programming has been a huge skill for me to get into doing research. I was able to start doing stuff right in the beginning of my first semester because I went to a guy who did computational astrophysics, which requires a ton of programming to run simulations. Now I'm working with two groups and publishing papers (in my second year now).

You should really, really keep with programming. I'd been on and off, but thankfully I'd done enough to keep my skills good enough and I kept learning. If I had stayed with it consistently, I'd probably be a programming grand master by now. So if you can be a theoretical physicist with incredible mathematical expertise as well as a programming guru... well, then you have a very bright future ahead of you. Not only that, but it gives you lots of flexibility with your future. You won't know in 10 years if you still want to do physics, and you certainly won't know your discipline or field that you'll be working in. Hell, you won't know if you even want to try and keep doing physics research after that.

So you what you're saying is I should go back to developing my game engine?
 
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  • #62
Not go back as in, quit physics and mathematics and just do that. I'm saying you should keep your skills sharp and try to learn new things as you go along. It might be just as beneficial to you as learning mathematics and physics. It doesn't matter what it is really, because it will be beneficial to you as long as you're challenging yourself. Of course you couldn't really do anything with programming and physics since most of the computational stuff that goes on in physics involves solving math problems that are too hard or take too long to solve on paper.

So, short answer, yes you should.
 

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