Math needed for theoretical physics from scratch

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zahero_2007
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Hi ,
I want to Study Theoretical physics . I know The Mathematics required for this . I have lecture notes of these mathematical fields but I do not Know if they were written for Physics or mathematics students . The question is do i need to study all the material provided in these notes which represent complete courses on the subject ? . I downloaded For example the course on Real Analysis by William F. Trench Do I need to Study The Whole Course? or just Some parts of the course are needed?
 
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In general pure maths courses like real analysis is not needed for most of theoretical physics. But overall it never hurts to know more maths.