53
Views
1
CrossRef citations to date
0
Altmetric
Articles

Tangent Sequences, World Records, π, and the Meaning of Life: Some Applications of Number Theory to Calculus

Pages 367-376 | Published online: 11 Apr 2018

REFERENCES

  • J. M. Borwein, P. B. Borwein, and D. H. Bailey, Ramanujan, modular equations, and approximations to π, or, How to compute one billion digits of π, Amer. Math. Monthly 96 (1989), 201–219.
  • D. V. Chudnovsky and G. V. Chudnovsky, Padé and Rational Approximations to Systems of Functions and their Arithmetic Applications, Lecture Notes in Mathematics #1052, Springer-Verlag, Berlin, Germany, 1984, 37–84.
  • R. K. Guy, The strong law of small numbers, Amer. Moth. Monthly 95 (1988), 697–712.
  • M. Hata, Rational approximations to π and some other numbers, Acta Arithmetica 63 (1993), 335–349.
  • A. Ya. Khinchin, Continued Fractions, Dover, New York, NY, 1997, 1–50.
  • W. J. LeVeque, Fundamentals of Number Theory, Dover, New York, NY, 1996, 226–238.
  • K. Mahler, On the approximation of π, Nederl. Akad. Wetensch. Proc. Ser. A, 56(1953), 30–42.
  • M. Mignotte, Approximations rationnelles de π et quelques autres nombres, Bull. Soc. Math. France Mém. 37 (1974), 121–132.
  • W. Scharlau and H. Opolka, From Ferma to Minkowski; Lectures on the Theory of Numbers and Its Historical Development, Springer-Verlag, New York, NY, 1985, 19 ff.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.