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by A. M. Yaglom,I. M. Yaglom
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ISBN: 0486655377 Dover Publications Price: $12.95 |
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Over 170 challenging problems ranging from the relatively simple to the extremely difficult. Volume 2 contains 74 problems on points and lines, topology, convex polygons, nondecimal counting and other topics. Includes solutions.
Table of Contents for Challenging Mathematical Problems with Elementary Solutions, Vol. 2
| Preface to the American Edition | |||||||
| Suggestions for Using the Book | |||||||
| Problems | |||||||
| I. Points and Lines | |||||||
| II. Lattices of Points in the Plane | |||||||
| III. Topology | |||||||
| IV. A Property of the Reciprocals of Integers | |||||||
| V. Convex polygons | |||||||
| VI. Some Properties of Sequences of Integers | |||||||
| VII. Distribution of Objects | |||||||
| VIII. Nondecimal Counting | |||||||
| IX. Polynomials with Minimum Deviation from Zero (Tchebychev Polynomials) | |||||||
| X. Four Formulas for p | |||||||
| XI. The Calculation of Areas of Regions Bounded by Curves | |||||||
| XII. Some Remarkable Limits | |||||||
| XIII. The Theory of Primes | |||||||
| Solutions | |||||||
| Hints and Answers | |||||||
| Bibliography |