What is the Best Book for Learning Proofs?

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A user with a strong background in applied math seeks recommendations for books to prepare for a proof-based course in linear algebra and vector calculus. They express a need to familiarize themselves with the art of proofs due to limited prior exposure. A suggestion is made to read Velleman's book on proofs alongside the linear algebra textbook to maintain engagement, as focusing solely on proof literature can be tedious.
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Hey all,

I have a pretty solid background in what would be best described as applied or engineering math. However, I have had a very limited exposure to proofs. This fall, I will be taking a course covering linear algebra and vector calculus in an entirely proof-based manner. I'm looking for recommendations on books to read to get up to speed on the art of proofs. Any help would be appreciated.

Thanks!
 
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Velleman's book is pretty good. However, I suggest you read it together with your linear algebra text. Reading a proof book can get quite boring if that's all your doing.
 

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