What are some good mathematical journals?

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I would like to study mathematics when I'm older, but I want to read some of the current literature to learn what mathematics is truly about, maybe direct my studies into some particular field. What would be some good mathematical journals that I could read to have a general idea of the current situation of mathematics?

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I like the Fibonacci Quarterly.

I also like the MAA's magazines: American Mathematical Monthly, Mathematics Magazine, and College Mathematics Journal.

If you have access to a university library, it can be fun to go into the stacks and look at old math journals. I remember years ago enjoyably browsing through the Journal of the London Mathematical Society.