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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

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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