Math and physics book to read over the summer

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Discussion Overview

The discussion revolves around recommendations for math and physics books to read over the summer, particularly for a student preparing to major in physics. Participants share their thoughts on various texts, focusing on the rigor and depth of the material.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant suggests reading Spivak and Stewart for calculus, while another questions the rigor of Khan Academy for theorem-proof mathematics.
  • University Physics by Young and Freedman is recommended by a participant for those with limited exposure to physics.
  • Another participant expresses a desire for rigorous math reading material, specifically for calculus with proofs and challenging questions.
  • Spivak is mentioned as a good and rigorous choice, with Apostol also suggested as an alternative for those who may not prefer Spivak's style.
  • A participant advises against using Stewart and Khan Academy if the student already knows calculus, recommending a focus on Spivak instead.
  • "How to Think Like a Mathematician" by Houston is suggested for those unfamiliar with rigorous texts.
  • The Feynman Lectures are also mentioned as a reading option.

Areas of Agreement / Disagreement

Participants generally agree on the value of Spivak for rigorous calculus study, but there are differing opinions on the usefulness of Khan Academy and Stewart for someone already familiar with calculus. The discussion remains unresolved regarding the best approach to studying mathematics rigorously.

Contextual Notes

Some participants express uncertainty about the rigor of certain texts and their suitability for the student's background, indicating a need for careful consideration of personal learning styles and previous exposure to the subjects.

Who May Find This Useful

This discussion may be useful for students preparing for a physics major, particularly those seeking rigorous mathematics and physics texts to enhance their understanding over the summer.

Genericcoder
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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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