# Kvant Selecta: Algebra and Analysis, II

### About this Title

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

Publication: Mathematical World

Publication Year
1999: Volume 15

ISBN: 978-0-8218-1915-9 (print)

DOI: http://dx.doi.org/10.1090/mawrld/015

MathSciNet review: MR1735373

MSC: Primary 00B15

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

### Table of Contents

**Chapters**

- 1. Binomial coefficients, polynomials, and sequences (Several approaches to a certain problem)
- 2. Formulas for prime numbers
- 3. Fermat’s theorem for polynomials
- 4. Commuting polynomials
- 5. On the removal of parentheses, on Euler, Gauss, and Macdonald, and on missed opportunities
- 6. Chebyshev polynomials and recurrence relations
- 7. Why resistance does not decrease
- 8. Evolution processes and ordinary differential equations
- 9. Irrationality and irreducibility
- 10. Irreducibility and irrationality
- 11. The arithmetic of elliptic curves
- 12. Pascal’s hexagrams and cubic curves
- 13. Kepler’s second law and the topology of Abelian integrals (According to Newton)
- 14. Partitions of integers
- 15. On the Denogardus great number and Hooke’s law
- 16. Polynomials having least deviation from zero