magfrump comments on Best Textbook List Expansion - Less Wrong
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For physics, I suggest Physics for Scientists and Engineers: A Strategic Approach with Modern Physics by Randy Knight.
Shankar is good introductory text on quantum mechanics at the graduate level.
If you have a good background, you should definitely read The Feynman Lectures on Physics. This one is not for beginners. You have been warned.
Thank you! Ironically I am substantially less interested in physics than chemistry and biology, but I'll look into the books you mentioned.
I'm a graduate student in mathematics, but I haven't taken physics since high school. This makes me nervous about approaching most physics textbooks since I want real basics in some ways but sophistication in others.