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Calculus Spivak's Calc book?

  1. Nov 11, 2017 #1
    I've taken Calc 1 and Calc 2 at community college, but I'm looking to strengthen my foundation. I found his book free on google. Will his book also get me through Calc 3 though?
     
  2. jcsd
  3. Nov 11, 2017 #2
    No, Spivak only overs single-variable calculus. He covers it in a nicer way than the typical texts, but doesn't cover what a typical calculus 3 course does.
     
  4. Nov 11, 2017 #3
    What would you recommend for calc 3 that's of similar rigor?
     
  5. Nov 11, 2017 #4

    fresh_42

    Staff: Mentor

  6. Nov 11, 2017 #5

    mathwonk

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    i recommend going through spivak before attacking a calc 3 book at the same level. Spivak is miles above whatever you have probably taken calc 1,2 from. another option is to go through Apostol volumes 1 and 2 which does cover calc of several variables. Or Courant, vols 1,2. for an older style but very strong presentation.
     
  7. Nov 18, 2017 #6
    Analysis on Manifolds by James Munkres.
     
  8. Nov 18, 2017 #7
    A good alternative to Spivak, but less rigorous, would be Moise calculus. This is recommend for the average student. You can later jump to Shilov's Analysis book.
     
  9. Nov 20, 2017 #8

    mathwonk

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