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Book recommendations

I am currently in the 11th grade (I am an Indian student) and I am looking forward to studying pure mathematics and theoretical physics in the future.

I therefore request you to tell me books/textbooks to study physics. I know some integration and differentiation and I plan to study Richard Courant's book "Introduction To Calculus And Analysis: Volume 1" from Tuesday onwards.Besides, I am studying Halliday-Resnick Walker for the moment.

Eisen
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I'd suggest that you continue with Halliday & Resnick for the present. And don't read Courant for Calculus now. Not that its a bad book, but I don't think it is good introductory book. For a good introduction to calculus try Stewart or Thomas & Finney. And as for physics, you could probably read the classic Feynman Lectures as well.

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For mathematical aspects of mechanics I'd suggest S.L Loney's books. Note that this will get you familiar with the mathematics but does not offer much in terms of a conceptual discussion. The problems are quite hard. Also be aware that these books are circa 1800's, so the treatment is not modern by any means. However, I found them extremely useful and rigorous.

Wiki about the author and his books.