Description
Book SynopsisContains articles published from 1970 to 1990 in the Russian journal, ""Kvant"". This collection represents the Russian tradition of expository mathematical writing. It is designed to be used by students and teachers who love mathematics and want to study its various aspects, thus deepening and expanding the school curriculum.
Table of ContentsBinomial coefficients, polynomials, and sequences (Several approaches to a certain problem) by V. N. Vaguten Formulas for prime numbers by Yu. V. Matiyasevich Fermat's theorem for polynomials by B. Martynov Commuting polynomials by I. Yantarov On the removal of parentheses, on Euler, Gauss, and Macdonald, and on missed opportunities by D. B. Fuchs Chebyshev polynomials and recurrence relations by N. Vasil'ev and A. Zelevinskii Why resistance does not decrease by O. V. Lyashko Evolution processes and ordinary differential equations by V. I. Arnol'd Irrationality and irreducibility by V. A. Oleinikov Irreducibility and irrationality by V. A. Oleinikov The arithmetic of elliptic curves by Yu. P. Solov'ev Pascal's hexagrams and cubic curves by N. B. Vasil'ev Kepler's second law and the topology of abelian integrals (According to Newton) by V. I. Arnol'd Partitions of integers by F. V. Vainstein On the Denogardus great number and Hooke's law by V. Yu. Ovsienko Polynomials having least deviation from zero by S. Tabachnikov.
