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Kvant Selecta: Algebra and Analysis, I


About this Title

Serge Tabachnikov, University of Arkansas at Fayetteville, Fayetteville, AR, Editor

Publication: Mathematical World
Publication Year 1999: Volume 14
ISBN: 978-0-8218-1002-6 (print)
DOI: http://dx.doi.org/10.1090/mawrld/014
MathSciNet review: MR1730216
MSC: Primary 11-06

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Table of Contents


Chapters

  • 1. The arithmetic of binomial coefficients
  • 2. Do you like messing around with integers?
  • 3. On Bertrand’s conjecture
  • 4. On best approximations. I
  • 5. On best approximations. II
  • 6. On a certain property of binomial coefficients
  • 7. On $n!$ and the number $e$ (Several approaches to a certain problem)
  • 8. Rational approximations and transcendence
  • 9. Close fractions
  • 10. On the equation $\binom {n}{m} = \binom {n+1}{m-1}$
  • 11. On regular polygons, Euler’s function, and Fermat numbers
  • 12. 2-adic numbers
  • 13. On the number $e$
  • 14. Markov’s Diophantine equation
  • 15. The arithmetic of Gaussian integers
  • 16. Three formulas of Ramanujan
  • 17. Amazing adventures in the land of repeating decimals