Physics Book Recommendation Request

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General Requirements

  • Physics for Mathematicians
  • Philosophy + Foundations
  • Mathematical Derivation of Theories

I want to know if there is a physics book for mathematicians. I attempted to read some traditional books in the branch, but I am having difficulties with the physical thinking process. I want some book that talks about philosophy, the foundations of physics and have the derivation of the theories in a very clear mathematical sense.

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The Feynmann Lectures on Physics are not specifically aimed at mathematicians, but they are excellent, especially on the subject of the foundations and the philosophy. I have no hesitation in recommending them.

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If you're looking at classical mechanics, I would recommend Spivak - Physics for Mathematicians, Mechanics I. Which discusses the foundational side of classical mechanics without lacking rigor.