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TEXTBOOK RECOMMENDATIONS
There are many good textbooks around, and in many cases particular textbooks may be the recommended or best suited books to use alongside different courses. Some textbooks may suit different people's study styles to varying degrees too.
For any A-level, undergraduate or postgraduate students in the physical sciences looking for suggestions, however, here are my personal favorites:
(Under)graduate physical sciences:
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Mathematical Methods in the Physical Sciences (Mary L. Boas)
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Mathematical methods for Physics and Engineering (K.F. Riley, M.P. Hobson and S.J. Bence)
A-level Mathematics/Physics:
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