Books recommendation for Mathematical proofs

AI Thread Summary
The discussion centers on seeking recommendations for books that effectively teach mathematical proof techniques. The original poster expresses a desire to improve their skills in various proof methods, particularly indirect techniques like contrapositive and contradiction, in addition to their familiarity with direct methods and induction. Participants suggest "How to Prove It: A Structured Approach" by Daniel Velleman as a valuable resource for learning proof techniques. Another recommendation is "The Theory of Sets" by the Bourbaki group, although it is noted to be more challenging than Velleman's book. The conversation highlights the importance of mastering different proof strategies in preparation for future mathematical studies.
JPSartre
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Hi,
I was wondering if you can suggest good books on the techniques for mathematical proofs.

I know this is quite a simple matter but I would be glad if you could suggest me with greats books for teaching proofs.

More often than not I used the direct method and induction to prove problems in abstract algebra let's say. I am not that familiar yet with indirect methods such as contrapositive or by contradiction method. I need to get better at mastering all proof techniques before next fall.

Thanks in advance for your help,
Best
S
 
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Alright thanks Infinitum!
 
How to Prove it, a Structured Approach - D Vellerman! :biggrin:
You could also check out The Theory of Sets by the Bourbaki group, that book has a section or two on constructing logic and theories. (but this version is a lot harder going than vellermans approach)
 

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