The Fundamental Theorem of the Calculus

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


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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