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Books on mathematical proofs

  1. Feb 13, 2005 #1


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    I plan on going onto grad school at some point in the near future and I know I could use a ton of work in the area of constructing proofs. What I'm looking for is a book that could shed some light on how this process is approached. That is to say for example maybe how a mathematician would approach constructing a proof or the thought process behind constructing proofs.

    i'm considering getting the book Mathematical Thinking: Problem-Solving and Proofs (2nd Edition) by John P. D'Angelo

    Any thoughts are always much appreciated
  2. jcsd
  3. Feb 13, 2005 #2
    tonight i just purchased a book titled "how to prove it" from books a million by Daniel J. Velleman i don't know how good it is yet because i haven't delved that far into the book.
  4. Feb 14, 2005 #3


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    It's pretty good at what it does (I purchased and read it about a year and a half ago). It's strictly introductory, though. It's designed for someone that has little to no experience actually constructing mathematical proofs.
  5. Feb 14, 2005 #4


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    I've heard Polya's "How to Solve It" is good. I just read Solow's "How to Read and Do Proofs", and it was okay. For me, the most helpful way has been to find a great book by a great author on some subject that interests you that contains lots of proofs. Study the masters, as Abel advised. Or get the solutions manual or a Schaum's.
  6. Feb 15, 2005 #5


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    Thank you all for the recommendations. I'll be sure to check out some of the titles mentioned. In the end though I may also just take a class at a university by my house that attempts to teach such a topic. I'm dying to get back into the university environment again.
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