How to prepare for 3rd year Maths

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A second-year undergraduate mathematics student is seeking guidance on improving proof writing skills, particularly in relation to exercises from "Linear Algebra Done Right." Despite completing courses in calculus, linear algebra, and differential equations, the student feels confused and unsure about how to approach proofs. They are looking for alternative resources or books to help review and prepare for their upcoming third year. The discussion also touches on whether the student has explored number theory, indicating a potential area of interest for further study.
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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