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The Fundamental Theorem of the Calculus

  • Jeremy GrayEmail author
Chapter
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

It seems that our intuition, or at least the intuitions of 19th Century mathematicians, was that a function is naturally differentiable. It is differentiable, they felt, unless it is obviously not, perhaps because it has a sudden change of direction or because it is not even continuous, but such events would only happen at isolated points.

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsThe Open UniversityMilton KeynesUK
  2. 2.University of WarwickCoventryUK

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