The Logarithm and the Exponential Function

  • H. B. Griffiths
  • P. J. Hilton

Abstract

A good illustration of the power of the fundamental theorem (30.1.2) is shown by the theory of the logarithm. After fruitless attempts at finding a known function with derivative 1/, it was realized by mathematicians that an integral did exist (by the fundamental theorem), provided they widened the early point of view that a function had to be ‘an expression’; they then had to make a new function.

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Copyright information

© H. B. Griffiths and P. J. Hilton 1970

Authors and Affiliations

  • H. B. Griffiths
    • 1
  • P. J. Hilton
    • 2
  1. 1.University of SouthamptonSouthaptonEngland
  2. 2.Case Western Reserve UniversityClevelandUSA

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