Kvant Selecta: Algebra and Analysis I

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  • Format: Paperback
  • Copyright: 1999-08-01
  • Publisher: Amer Mathematical Society

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This volume and Kvant Selecta: Algebra and Analysis, II (MAWRLD/15) are the first volumes of articles published from 1970 to 1990 in the Russian journal, Kvant. The influence of this magazine on mathematics and physics education in Russia is unmatched. This collection represents the Russian tradition of expository mathematical writing at its best. Articles selected for these two volumes are written by leading Russian mathematicians and expositors. Some articles contain classical mathematical gems still used in university curriculae today. Others feature cutting-edge research from the 20th Century. The articles in these books are written so as to present genuine mathematics in a conceptual, entertaining, and accessible way. The volumes are 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. The articles in the first volume are mainly devoted to various topics in number theory, whereas the second volume treats diverse aspects of analysis and algebra.

Table of Contents

Binomial coefficients, polynomials, and sequences (Several approaches to a certain problem)
Formulas for prime numbers
Fermat's theorem for polynomials
Commuting polynomials
On the removal of parentheses, on Euler, Gauss, and Macdonald, and on missed opportunities
Chebyshev polynomials and recurrence relations
Why resistance does not decrease
Evolution processes and ordinary differential equations
Irrationality and irreducibility
Irreducibility and irrationality
The arithmetic of elliptic curves
Pascal's hexagrams and cubic curves
Kepler's second law and the topology of abelian integrals (According to Newton)
Partitions of integers
On the Denogardus great number and Hooke's law
Polynomials having least deviation from zero
Table of Contents provided by Publisher. All Rights Reserved.

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