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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: https://doi.org/10.1090/mawrld/014
MathSciNet review: MR1730216
MSC: Primary 11-06
This volume is not part of this online collection.
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