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Over the last few weeks I've been catching back up with High School Algebra, Trigonometry, along with some Geometry. I'm now looking for the next challenge and unsure where to start.

Due to studying Astrophysics/Physics topics, I'm assuming studying applied mathematics topics is the best way forward? Also, is Calculus the next step after High School maths? I'm in the UK, so for anyone in the US, I've just completed Algebra II.

Should I start at Pre-Calculus? I'm guessing the first steps of Calculus is to start with Differential and Integral Calculus? I have read the self-study mathematics guides, along with a quick look at the textbooks recommended, but I thought best to ask seeing as I'm studying it to apply to Astrophysics, rather than just purely the maths. What would be a good textbook for me to purchase? Looking for an actual textbook, as I prefer to work through it, as to learn from lectures like on Khan Academy. I prefer to use videos as a supplementary tool.

Something which I am really curious to know about, and bare in mind I know nothing about Calculus yet, is if learning it has different approaches? For example is a Pure Mathematics major going to learn Calculus different to, say, an Applied Mathematics Major? If so, is it beneficial to learn both ways? Whilst I'm mainly going to be using Applied Mathematics, I would definitely like to learn Pure Mathematics as well, to have a good overview. Is there a better way to learn topics by way of Applied, then Pure, or vice-versa?

Thanks for you responses in advance )