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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Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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