Problems involving finding proofs?

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    Proofs
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Discussion Overview

The discussion revolves around finding resources and problems related to proof techniques, particularly for those new to the subject. Participants share their experiences and recommendations regarding books and online resources.

Discussion Character

  • Exploratory, Debate/contested

Main Points Raised

  • One participant seeks good problems for practicing proof techniques, indicating a desire to explore the topic further.
  • Another participant recommends "How to Prove It" by Velleman as a resource for learning about proofs.
  • A different participant expresses a preference for free resources, noting that they are not in a hurry to learn proofs as they may not encounter them in their university studies this year.
  • One participant shares a link to a website containing interesting problems related to proofs.
  • A later reply strongly criticizes Velleman's book, arguing that it hinders the development of proof skills and citing negative experiences from teaching students who used it.

Areas of Agreement / Disagreement

Participants present differing opinions on the value of Velleman's book, with some recommending it while others vehemently oppose it. There is no consensus on the best resources for learning proofs.

Contextual Notes

Some participants' recommendations depend on personal experiences and teaching backgrounds, which may not universally apply. The discussion reflects varying levels of familiarity and urgency regarding the topic of proofs.

Alkatran
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Where can I find some good problems involving finding proofs? I want to see how far I can go as it's relatively new to me...
 
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I recommend "How to Prove It" by Velleman:

 
Nice, but I was looking for a free ressource. I'm in no rush to learn it, as I probably won't run into it this year in university.
 
I would strongly recommend NOT buying Vellman, it's a stinking pile of poo, that just serves to retard the development of people's ability to actually prove anything. And I'm speaking from experience of teaching people who've worked from that book and are under the impression that to prove some statement such as if x is even x^2 is even it is sufficient to draw a sodding truth table.
 

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