Hyperreal Numbers for Infinite Divergent Series

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Bartlett, Jonathan; Gaastra, Logan; Nemati, David;
  • Subject: Mathematics - General Mathematics | 40C99

Treating divergent series properly has been an ongoing issue in mathematics. However, many of the problems in divergent series stem from the fact that divergent series were discovered prior to having a number system which could handle them. The infinities that resulted ... View more
  • References (5)

    [1] J. M. Henle and E. M. Kleinberg, Infinitesimal Calculus. Dover Publications, 2003.

    [2] J. Keisler, Elementary Calculus: An Infinitesimal Approach. Dover Books, second ed., 2012.

    [3] L. Gaastra, “Omega: How hilbert's infinite hotel can be used to evaluate divergent series,” GRCC Student Mathematics Seminars, 2016.

    [4] S. Schmidt, Life of Fred: Kidneys. Polka Dot Publishers, 2012.

    [5] E. W. Weisstein, “Wheat and chessboard problem,” Mathworld-A Wolfram Web Resource, 2018.

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