Reddit reviews Recursive Methods in Economic Dynamics

Micro isn't short... :(

But yes, macro is pretty broad. Here's what I read to get started for intermediate/advanced macro:

Sargent:

https://mitpress.mit.edu/books/recursive-macroeconomic-theory-fourth-edition

Stokey:

https://www.amazon.com/Recursive-Methods-Economic-Dynamics-Stokey-ebook/dp/B00J8CVOHO

These two should be a good starting point but still workable enough for a solid 2nd-4th year undergrad or 1st year PhD. For more advanced treatment of growth, business cycles etc. you can always find textbooks for those specific topics.

If you're not confident with your math yet, I guess Mankiw? Another options I know of is wickens. I started with Wickens during undergrad but found it boring. If you tell me your mathematical level I might be able to get a better book for you. Economic ability doesn't mean much imho for these introductory macro texts. If you're serious about studying macro take a course or self study analysis, the rest of the math should be easy to pick up once you've trained yourself with analysis.

Also, try one of the MIT open courses for intermediate macro. They're not bad.