# Kvant Selecta: Algebra and Analysis, I

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

This volume is not part of this online collection, but can be purchased through our online bookstore.

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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
• 13. On the number $e$