What Self-Study Books in Math and Physics Should a 17-Year-Old Explore?

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A user expresses a strong interest in self-studying mathematics and physics at the age of 17, seeking foundational books to deepen their understanding beyond pop science. Recommendations include "Young & Freedman: University Physics" for physics, which is widely used in introductory courses. For mathematics, it is suggested to start with "Basic Mathematics" by Serge Lang to build confidence in high school math concepts. Once comfortable, the user should progress to calculus, with recommended texts including "A First Course in Calculus" by Lang, "Quick Calculus" by Kleppner and Ramsey, and "Calculus with Analytic Geometry" by Simmons. Advanced texts like Spivak and Apostol are advised for further study after mastering the basics.
SrVishi
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I have gained recent yet passionate interests in both of these complex subjects but I feel that I am a bit behind in terms of my age (17, yes a bit embarrassing). May anyone recommend me some books in both mathematics and physics to use for self study since I really want to learn outsde of school? I plan to go in very deep in these subjects but would like a bit of a foundation. Any and all responses will be greatly appreciated!
 
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You should try Young & Freedman: University Physics in both its volumes. It is a very neat book and it's used in lots of physics introductory courses.
 


Do you want books that are a serious study? Or fun pop sci books?

If the former, what is your background?
 


Jorriss said:
Do you want books that are a serious study? Or fun pop sci books?

If the former, what is your background?

Serious study. I have read a couple of pop science books and feel that it is time to take it to the next level and actually LEARN the subjects (do the calculations etc.). My backround is well, just pop science books, my physics high school course, and some minute overview of professional research. =(
 


If you're not comfortable with high school mathematics, then you should get comfortable first. A good book is "Basic Mathematics" by Serge Lang. It covers everything you ever need to know of the mathematics before calculus.

If you know high school mathematics, then studying calculus is the next step. Good books are of course Spivak and Apostol, but they will be a bit too much for a first encounter. You might want to try "A first course in calculus" by Lang, "Quick Calculus: a self-teaching guide" by Kleppner and Ramsey (be sure to check the errata if you get this book) and "Calculus with analytic geometry" by Simmons.

After that, you should consider working through Spivak or Apostol.
 
Im currently reading mathematics for physicists by Philippe Dennery and André Krzywicki, and I’m understanding most concepts however I think it would be better for me to get a book on complex analysis or calculus to better understand it so I’m not left looking at an equation for an hour trying to figure out what it means. So here comes the split, do I get a complex analysis book? Or a calculus book? I might be able to Borrow a calculus textbook from my math teacher study that for a bit and...

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