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.
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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