What are some introduction level all around physics books?

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Sundires
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Hello! I really like physics but I've been reading pop science books up until now. I feel like it's time for real math based physics. I'm a first year ME student so I have calculus and phys 1&2 covered. I was planning on reading Feynman's yet I've heard it might as well be supported by some other textbooks. Would appreciate any advice you can give. Thanks in advance.
 
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If you want a book at the level of the Feynman Lectures but that's more practical as an introduction, the classic choices would be Kleppner and Kolenkow for mechanics and Purcell for E&M.

If you want something that's easier than the Feynman lectures, there are quite a few possibilities out there. There are some free possibilities catalogued here: http://www.theassayer.org/cgi-bin/asbrowsesubject.cgi?class=Q#freeclassQC