Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Who invented differential calculus for rational functions?

  1. Oct 6, 2015 #1

    Vinay080

    User Avatar
    Gold Member

    Euler mentions in his preface of the book "Foundations of Differential Calculus" (Translated version of Blanton):
    I don't understand here, who/who all had invented/discovered the study-of-ultimate ratio (differential calculus) for rational functions long before (Newton and Leibniz), without knowing application of method to the vanishing icrements; if it was already invented, how does that differ from that of the study-of-ultimate ratio (differentail calculus) for irrational functions; it must be the same (??) method.
     
    Last edited: Oct 6, 2015
  2. jcsd
  3. Oct 7, 2015 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    It was not "long" before Newton and Leibniz but Fermat developed a method he called "ad-equality" to find the tangent line to a graph at a point. Basically, it uses the idea of solving for the points at which y= ax+ b crosses the graph, the given point and one other, then determines the value of "a" that causes the two points to be the same.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Who invented differential calculus for rational functions?
  1. Rational functions (Replies: 3)

  2. Rational functions (Replies: 2)

Loading...