- Volume 27 Issue 2
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The Origin of Newton's Generalized Binomial Theorem
뉴턴의 일반화된 이항정리의 기원
- Koh, Youngmee (Dept. of Math., The Univ. of Suwon) ;
- Ree, Sangwook (Dept. of Math., The Univ. of Suwon)
- Received : 2014.01.18
- Accepted : 2014.03.04
- Published : 2014.04.30
In this paper we investigate how Newton discovered the generalized binomial theorem. Newton's binomial theorem, or binomial series can be found in Calculus text books as a special case of Taylor series. It can also be understood as a formal power series which was first conceived by Euler if convergence does not matter much. Discovered before Taylor or Euler, Newton's binomial theorem must have a good explanation of its birth and validity. Newton learned the interpolation method from Wallis' famous book
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