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Introduction to Proofs texts/resources?

  1. Oct 26, 2011 #1
    1. The problem statement, all variables and given/known data
    My intro to Proofs class uses How to Prove It, 2nd edition by Velleman.

    I would like a couple other references on introduction to proofs. What do you recommend? I don't mind spending hours agonizing over proofs, but I'd like to be able to check my work with answers somewhere.

    Thanks in advance!
     
  2. jcsd
  3. Oct 26, 2011 #2
    My favorite mathematics textbook:

    A Bridge to Abstract Mathematics: An Introduction to Mathematical Proofs and Structures By Ronald Morash

    https://www.amazon.com/Bridge-Abstr...0438/ref=sr_1_1?ie=UTF8&qid=1319659963&sr=8-1

    It is meant for undergrads planning on going into grad school. It is very accessible. The first half could be understood by someone with one semester of calculus. The second half gets a little more advanced, but with some effort could probably still be tackled by a freshman. It is very clear and explains proofs methods in a lot of detail, and provides all the requisite background in set theory and discrete math.
     
  4. Oct 26, 2011 #3
    i'll have to check some of these out... i was going to make a thread like this myself...
     
  5. Oct 27, 2011 #4
    Thanks for the suggestion. I ordered A Bridge to Abstract Mathematics: An Introduction to Mathematical Proofs and Structures By Ronald Morash. I can't wait to get it!

    I appreciate you taking the time to make the recommendation.
     
  6. Nov 1, 2011 #5
    I recommend https://www.amazon.com/Abstract-Mat...sr_1_7?s=books&ie=UTF8&qid=1320143098&sr=1-7" book by Robert Ash.

    Someone is going to complain that I have not said why I recommend it, but I don't have anything to add to what amazon.com says. The difference between this book and Vellerman is that Ash spends less time on the mechanics of proofs (sets, logic, etc.), and more on actually showing you proofs in mathematics. So they make a nice pair.
     
    Last edited by a moderator: Apr 26, 2017
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