Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010163488 | QA241 K82 1999 v.1 | Open Access Book | Great Book | Searching... |
Searching... | 30000010163489 | QA241 K82 1999 v.2 | Open Access Book | Great Book | Searching... |
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Summary
Summary
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 curricula today. Others feature cutting-edge 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.
Table of Contents
| Binomial coefficients, polynomials, and sequences (Several approaches to a certain problem)V. N. Vaguten |
| Formulas for prime numbersYu. V. Matiyasevich |
| Fermat's theorem for polynomialsB. Martynov |
| Commuting polynomialsI. Yantarov |
| On the removal of parentheses, on Euler, Gauss, and Macdonald, and on missed opportunitiesD. B. Fuchs |
| Chebyshev polynomials and recurrence relationsN. Vasil'ev and A. Zelevinskii |
| Why resistance does not decreaseO. V. Lyashko |
| Evolution processes and ordinary differential equationsV. I. Arnol'd |
| Irrationality and irreducibilityV. A. Oleinikov |
| Irreducibility and irrationalityV. A. Oleinikov |
| The arithmetic of elliptic curvesYu. P. Solov'ev |
| Pascal's hexagrams and cubic curvesN. B. Vasil'ev |
| Kepler's second law and the topology of abelian integrals (According to Newton)V. I. Arnol'd |
| Partitions of integersF. V. Vainstein |
| On the Denogardus great number and Hooke's lawV. Yu. Ovsienko |
| Polynomials having least deviation from zeroS. Tabachnikov |
