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Other I need some advice regarding books (Math, Physics)

Hello, I'm currently studying for some scholarship exams (Math, Phy, Chem) that take place in june 16~20.

As for Math, I'm studying number theory from Serge Lang's Basic Mathematics, and went through stewart's pre-calculus book (but I think I may be going over it again since I didn't master it completely yet).
The thing is, I'm having some trouble deciding on books to improve even more on pre-calculus and to get a basic knowledge on Calculus (I need to be able to differentiate, integrate and find maxima and minima, not that hard)
I was thinking about buying Quick Calculus: A self teaching guide By Kleppner&Ramsey (https://www.amazon.com/dp/0471827223/?tag=pfamazon01-20)
Because the test only needs a basic knowledge of Calculus and I've got so little time. Any advice on this? And is there a better book on pre-calculus than stewart's?
(These are some example math exams from 2014 and 2015 exams: https://www.dropbox.com/sh/1j6f4rplsv3b33h/AADv1SM3kbGWk4r3_IJbDrXFa?dl=0)

And as for physics, I'm currently studying and taking notes from Walter Lewin's MIT lectures. And doing some exercises on the Sears & Zemansky University Physics book I purchased.
(Physics 2014/2015 exams: https://www.dropbox.com/sh/txqv20qwguyn33z/AAByidzZS8onloqYwk38rJBma?dl=0)


So, is my approach correct? Or should I attempt to change it? What is your opinion?

Thank you for reading this wall of text, I appreciate any help or advice you would give me.
 
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I see, the Pre-Calculus: A prelude to Calculus book seems pretty good, as well as the Precalculus math in a nutshell, I think I'll purchase those two and go through them. Thank you very much, friend. As for Calculus I think I will go for the Quick Calculus: A Self-Teaching Guide, 2nd Edition for now, as it seems to fit my goals better. Thanks again!
 
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I see, the Pre-Calculus: A prelude to Calculus book seems pretty good, as well as the Precalculus math in a nutshell, I think I'll purchase those two and go through them. Thank you very much, friend. As for Calculus I think I will go for the Quick Calculus: A Self-Teaching Guide, 2nd Edition for now, as it seems to fit my goals better. Thanks again!
Good luck on your Journey!
 
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I see, the Pre-Calculus: A prelude to Calculus book seems pretty good, as well as the Precalculus math in a nutshell, I think I'll purchase those two and go through them. Thank you very much, friend. As for Calculus I think I will go for the Quick Calculus: A Self-Teaching Guide, 2nd Edition for now, as it seems to fit my goals better. Thanks again!
Sheldon Axler is a very good writer. If one of his books or papers is referenced in your studies, it's worth paying attention to.
 

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