Mathematical World 1999; 165 pp; softcover Volume: 15 ISBN10: 0821819151 ISBN13: 9780821819159 List Price: US$29 Member Price: US$23.20 Order Code: MAWRLD/15
 This volume and Kvant Selecta: Algebra and Analysis, I (MAWRLD/14) 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 curricula today. Others feature cuttingedge research from the twentieth 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 first volume is mainly devoted to various topics in number theory, whereas the second volume treats diverse aspects of analysis and algebra. Cover art created by Sergei Ivanov. Used with permission. Readership Advanced high school and undergraduate students interested in mathematics; mathematics teachers in high schools and colleges. Reviews "The slate of the authors is most impressive ... It is most impressive and commendable that these `serious' mathematicians went out of their way to make their sophisticated material understandable by a broad readership ... a welcome edition to mathematics literature where rigor coexists with fun and accessibility."  Zentralblatt MATH Table of Contents  V. N. Vaguten  Binomial coefficients, polynomials, and sequences (Several approaches to a certain problem)
 Yu. V. Matiyasevich  Formulas for prime numbers
 B. Martynov  Fermat's theorem for polynomials
 I. Yantarov  Commuting polynomials
 D. B. Fuchs  On the removal of parentheses, on Euler, Gauss, and Macdonald, and on missed opportunities
 N. Vasil'ev and A. Zelevinskii  Chebyshev polynomials and recurrence relations
 O. V. Lyashko  Why resistance does not decrease
 V. I. Arnol'd  Evolution processes and ordinary differential equations
 V. A. Oleinikov  Irrationality and irreducibility
 V. A. Oleinikov  Irreducibility and irrationality
 Yu. P. Solov'ev  The arithmetic of elliptic curves
 N. B. Vasil'ev  Pascal's hexagrams and cubic curves
 V. I. Arnol'd  Kepler's second law and the topology of abelian integrals (According to Newton)
 F. V. Vainstein  Partitions of integers
 V. Yu. Ovsienko  On the Denogardus great number and Hooke's law
 S. Tabachnikov  Polynomials having least deviation from zero
