How to prepare for 3rd year Maths

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David Donald
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Hello, I am a 2nd year undergraduate maths student going into my third year
who has been through..

Calc 1
Calc 2
Calc 3 or Multivariable Calculus
Linear Algebra
Differential Equations

I bought two books Linear Algebra Done Right
and Elementary Analysis: The Theory of Calculus

I want to brush up on my maths and prepare myself for my future classes though I've hit a roadblock, I have trouble with the concept of proof writing especially the exercises and proofs in Linear Algebra Done Right I find myself getting confused and struggle to even know where to start with such exercises.

If anyone could point me in the right direction as to maybe a different book or place to start in reviewing and preparing for my third year that would greatly appreciated!
 
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Have you done any number theory so far ?