MHB What Are the Top Resources for Learning to Prove True Statements?

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The discussion focuses on identifying the best resources for learning to prove true statements in mathematics. Participants suggest exploring online resources like ProofWiki for techniques on math proofs. There is a specific interest in book recommendations for learning proof writing, with references to related discussions on Math.StackExchange. The conversation highlights the need for both online and print resources to effectively grasp proof techniques. Overall, a combination of websites and books is considered beneficial for mastering the skill of proving statements.
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What is the best resource for learning how to do problems that ask you to "Show that this is true" or Prove that is this is true"?
 
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bwpbruce said:
What is the best resource for learning how to do problems that ask you to "Show that this is true" or Prove that is this is true"?

Don't know what would be considered a "best" resource in general ... have a look at the entries from this Google search.

techniques for math proofs

 
Some books that teach proof writing are mentioned in this and linked questions on Math.StackExchange.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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