Preface to the American EditionSuggestions 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 pXI. The Calculation of Areas of Regions Bounded by Curves XII. Some Remarkable Limits XIII. The Theory of Primes Solutions Hints and Answers Bibliography