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Full-Text Articles in Physical Sciences and Mathematics

Bytes Of Π, Spring 2010, Department Of Mathematics And Computer Science, Bridgewater State College Apr 2010

Bytes Of Π, Spring 2010, Department Of Mathematics And Computer Science, Bridgewater State College

Department of Mathematics Newsletter

No abstract provided.


EΠi + 1=0: The History & Development, Dawne Charters-Nelson Jan 2010

EΠi + 1=0: The History & Development, Dawne Charters-Nelson

Undergraduate Review

I have on occasion run across the equation in books, articles and in conversation with other mathematicians. In each of these encounters the person alluded to a fascination with this equation which links the five most important constants in the whole of analysis:

  • 0 = The additive identity
  • 1 = The multiplicative identity
  • π = The circular constant
  • e = The base of the natural logarithms
  • i = The imaginary unit

Being a novice mathematician, I wondered how all these fundamental constants could end up in one equation and what it meant. Along with this thought came the realization that …