What is the Best Book for Learning Proofs?

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SUMMARY

The discussion centers on recommendations for books to learn proofs, particularly for someone with a background in applied mathematics preparing for a proof-based course in linear algebra and vector calculus. A notable suggestion is Velleman's book, which is effective when paired with a linear algebra text to maintain engagement. The combination of these resources is crucial for mastering the art of proofs in mathematical contexts.

PREREQUISITES
  • Understanding of applied mathematics concepts
  • Familiarity with linear algebra
  • Basic knowledge of vector calculus
  • Exposure to mathematical reasoning and logic
NEXT STEPS
  • Read "How to Prove It" by Daniel J. Velleman
  • Study a comprehensive linear algebra textbook
  • Explore resources on mathematical logic and proof techniques
  • Practice solving proof-based problems in vector calculus
USEFUL FOR

Students transitioning to proof-based mathematics, educators seeking teaching resources, and anyone looking to strengthen their understanding of mathematical proofs in linear algebra and vector calculus.

SMG75
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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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