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

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

Published $\text {1967}$, 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