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Calculus in UK/USA and math analysis in wester europe - is this the same?

  1. Nov 5, 2009 #1
    I would like to use book for calculus, but i'm not sure if it cover my "math analysis" course.

    And i can't tell that from reading content... So i'll give you some examples of assertions(or definitions), and you tell me, if they are discussed in "Calculus" by Michael Spivak.

    Three series theorem
    Both, Cauchy's and Heine's definition of limit.
    Assertion about two functions(if we got two functions and one is greater (>), and the less one limit is inf, then bigger function limit is also inf)
    L'Hôpital's rule
    Taylor's theorem
    functional maxima and minima
    indefinite and definite integral
    integration by substitution
  2. jcsd
  3. Nov 6, 2009 #2
    dunno aboot western Europe but those topics you mentioned are covered in Analysis course in US as well.
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