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Book question

  1. May 15, 2012 #1
    The courses I've taken are algebra, trig, calculus 1 and 2 with analy. geometry and elementary linear algebra. Now that I have a three month break I plan on reviewing calc 1 and 2, and linear algebra. I would also like to learn a new topic but I dont know what subjects would be in my range of experience. I was thinking discrete math or set theory. Would those topics be difficult to learn on my own? Suggestions on other topics are welcomed.
     
  2. jcsd
  3. May 15, 2012 #2

    micromass

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    No, it wouldn't be that difficult to learn on your own. Would you like book recommendations for the topics you listed??

    Calculus: Now that you already know the basic calculus, I think Spivak is well within the range of your abilities.
    https://www.amazon.com/Calculus-4th...8918/ref=sr_1_1?ie=UTF8&qid=1337119867&sr=8-1

    Linear algebra: Try Friedberg or Lang.
    https://www.amazon.com/Linear-Algeb...=sr_1_1?s=books&ie=UTF8&qid=1337119895&sr=1-1
    https://www.amazon.com/Linear-Algeb...=sr_1_1?s=books&ie=UTF8&qid=1337119910&sr=1-1

    Discrete math: I learned the topic from Grimaldi's book and it was quite good. The book by Knuth is also quite popular.
    https://www.amazon.com/Discrete-Com...troduction/dp/0201726343/ref=pd_bxgy_b_text_b
    https://www.amazon.com/Concrete-Mat...=sr_1_1?s=books&ie=UTF8&qid=1337120052&sr=1-1

    Set theory: You probably mean a basic proof book. I think Velleman covers quite a lot of set theory so that would be a good first book.
    https://www.amazon.com/How-Prove-St...=sr_1_1?s=books&ie=UTF8&qid=1337120114&sr=1-1

    As for other topics. You might want to look at abstract algebra. A decent first book is Pinter: https://www.amazon.com/Book-Abstrac...=sr_1_1?s=books&ie=UTF8&qid=1337120158&sr=1-1
     
    Last edited by a moderator: May 6, 2017
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