# Book:A.M. Yaglom/Challenging Mathematical Problems With Elementary Solutions: Volume II

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## A.M. Yaglom and I.M. Yaglom:

## A.M. Yaglom and I.M. Yaglom: *Challenging Mathematical Problems With Elementary Solutions: Volume II*

Published $1967$, **Holden-Day**

- ISBN 0-486-65537-7.

Unaltered, unabridged reprint issued by **Dover Publications** in 1987.

### Contents

- 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 $\pi$
- XI. The Calculation of Areas of Regions Bounded by Curves
- XII. Some Remarkable Limits
- XIII. The Theory of Primes

- Solutions
- Hints and Answers
- Bibliography