Number theory, Algebra and Precalculus book

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I need to start applying to competitive exams from next year and want to generally cover mathematics up to Under-graduate level as soon as possible to study for a different field

To have a strong base I searched a lot for books and finally came to Art of Problem Solving I have three books in mind:

Pre calculus AOSP, Introduction to number theory AOSP and Intermediate Algebra AOSP

I will be only able to do two of these books so it would be really helpful if you could recommend any other books and help me choose between these

I am a new member and a beginner who knows the contents from Introduction to Algebra + Some basic calculus except Logarithms

I look forward to study advanced mathematics like Calculus so would be helpful if you recommend any book for that

Thank you