The Integrity of Ancient and Modern Mathematics

  • William McGowen Priestley
Part of the Undergraduate Texts in Mathematics book series (UTM)


When minds of first order meet, sparks fly, even across the centuries. The fundamental theorem of calculus, to be discussed in this chapter, is the result of such a pyrotechnic fusion of ideas. When Leibniz and Newton met Eudoxus and Archimedes, the calculus was rounded out into a whole. By the end of the seventeenth century it was becoming evident that calculus was not a bag of unrelated tricks but was an entity complete unto itself.


Fundamental Theorem Vertical Segment Modern Mathematic Speed Function Integral Calculus 
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Copyright information

© Springer-Verlag New York, Inc. 1979

Authors and Affiliations

  • William McGowen Priestley
    • 1
  1. 1.Department of MathematicsThe University of the SouthSewaneeUSA

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