Introduction to Modern Astrophysics -- What are the prerequisites?

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The discussion centers on the prerequisites for understanding a recommended physics textbook, specifically Carroll and Ostlie, which is considered suitable for upper undergraduate or lower graduate levels. The individual seeking advice has no formal math training but has self-studied calculus up to a level below multivariable and has explored classical mechanics and special relativity. They are currently working through a calculus book by Michael Spivak and a linear algebra book by Sheldon Axler, albeit at a slow pace. The individual expresses a desire to focus on physics and learn the necessary math as it becomes relevant, indicating a preference for a more integrated approach to learning rather than a purely mathematical foundation before tackling physics concepts.
JLowe
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I was recently recommended this book and told it was a standard textbook at an upper undergraduate level or lower graduate level. Well that's certainly above my level, but specifically what would be the prerequisites?

I've no formal math training but self taught calculus at a level somewhere below multivariable. I've previously gone through some basic textbooks on classical mechanics and special relativity. My current math studies are ongoing with a Calculus book by Michael Spivak and a Linear Algebra book by Sheldon Axler. I'm not setting any speedrun records through either, and I'd rather start going straight to the physics and learning the math as it becomes relevant.
 
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Given the current funding situation, you should contact potential departments or research groups before you apply and pay any application fees. Many programs are not taking new graduate students at all this cycle because of funding uncertainty, unless a specific advisor can show they already have money to support you for five years. This is what I’ve heard directly from 20–30 programs. Do not waste money applying blindly.

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