The Integrity of Ancient and Modern Mathematics

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 Connected Domain Vertical Segment Modern Mathematic Curve Figure 
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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceThe University of the SouthSewaneeUSA

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