Math and physics book to read over the summer

AI Thread Summary
The discussion centers on preparing for a physics major by seeking rigorous summer reading materials in calculus and physics. The individual has completed AP physics, AP calculus AB, and chemistry but finds AP calculus AB lacking in challenge. They plan to read Spivak and Stewart for calculus and Young and Freedman's "University Physics" for physics. Suggestions from others emphasize the importance of rigorous texts, recommending Spivak for calculus and mentioning Apostol as an alternative. They also advise against using Khan Academy for theorem-proof studies, suggesting "How to Think Like a Mathematician" by Houston and the Feynman Lectures for additional insights. The overall focus is on selecting challenging and rigorous resources to deepen understanding in preparation for college-level physics and mathematics.
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Hi guys,

I am going to major in physics in the fall,but I will be studying a lot this summer. I just finished AP physics,AP calculus AB,chemistry it was good but I think the AP calculus AB isn't really rigorous or challenging. I currently have in my mind those reading list for books

Calculus:
Spivak and stewart.
Khan academy

For physics:
I thinking about reading University physics young and freedman.


What other book do you suggest reading over the summer? I don't really go out much so I have a lot of time in my hand that I can cover it in summer.
Thanks.
 
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If you want to do mathematics theorem-proof, I don't think the Khan academy will help you very much. It is mostly geared toward doing problems rather than proving theorems.

If you don't have much previous exposure to physics I think Y&F is a good read. I learned special relativity and electromagnetism from it one summer.
 
What would you suggest for math reading material that treat the subject rigorously.
I already did calculus I in ap calculus AB but I want to do it and calculus II rigorously with proofs with many challenging questions on the end of chapter.
 
I have never read Spivak, but I hear it's good and rigorous. I don't think you can go wrong with Spivak. If you don't like his style, I have also heard good things about Apostol.
 
Cool I will try those books.
 
If you already know calculus, then doing Stewart and khan academy is useless. Try to focus on Spivak, that'll be challenging enough.

If you're unfamiliar with rigorous texts, then you might try out "How to think like a mathematician" by Houston.
 
read the Feynman lectures
 
Thanks I will use these resource that should keep me busy :).
 

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