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Textbook or online website with Epsilon-Delta Proofs?

  1. Apr 18, 2012 #1
    I don't do well by just reading a proof and internalizing it. I need problems to solve and would LOVE to internalize epsilon delta proofs by practicing 100s of them. It's how I got decent at integrals. It's how anybody gets good at math and music and in general your craft right?
    I Don't know a place where i can find a ton of epsilon delta proof questions to do though. Can anybody help me?
    And i've read paul notes. I don't want links about the idea of epsilon delta proofs. Just the exercise questions and the answers to them.
    Please and thank you.
    I'm willing to buy a textbook if it has alot of them in it.

    PLEASE HELP! I Just want to practice like mad. I want practice!! It getrs boring practicing the same 2 questions my prof provided.
     
    Last edited by a moderator: Apr 18, 2012
  2. jcsd
  3. Apr 18, 2012 #2
    Re: textbook or online website with A TON OF EPSILON DELTA PROOFS?!

    Get W. Rudin's Principles of Mathemtical Analysis. The exercises are hard but still doable. Solutions are scattered on the web (Except for some problems).
    A very good supplement to Rudin would be G.M. Bergman excercises packet, which can be found here:

    http://math.berkeley.edu/~gbergman/ug.hndts/
     
  4. Apr 18, 2012 #3
    Re: textbook or online website with A TON OF EPSILON DELTA PROOFS?!

    I'm looking for somethijng a bit easier. well alot easier.. But i'll definitely check it out. Something that first year math majors are expected to do. I also have average intelligence.
     
  5. Apr 18, 2012 #4
    Spivak's Calculus uses epsilon-delta proofs throughout, and is just generally awesome.
     
  6. Apr 19, 2012 #5
    Schaum's Advanced Calculus has some worked problems:
    https://www.amazon.com/Schaums-Outline-Advanced-Calculus-Edition/dp/0071623663

    There is also the Kaczor & Nowak series, but I haven't used them personally:
    https://www.amazon.com/Problems-Mathematical-Analysis-Numbers-Sequences/dp/0821820508

    You can find a free problem text by John Erdman here:
    http://www.mth.pdx.edu/~erdman/PTAC/PTAClicensepage.html

    In addition to the Spivak suggestion, if you want to start basic, try Ross' Elementary Analysis. It starts off about as slow as any text can.
    There are solutions on some university websites.
    https://www.amazon.com/Elementary-Analysis-The-Theory-Calculus/dp/038790459X
     
    Last edited by a moderator: May 5, 2017
  7. Apr 20, 2012 #6
    Any introductory real analysis text and I don't suggest Rudin which is not introductory.

    Also just throwing yourself at problems doesn't really work, you have to think about them for a while except in trivial cases.
     
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