Challenging Mathematical Problems With Elementary Solution Vol. 2 | A. M. Yaglom, I. M. Yaglom

Designed for advanced high school students, undergraduates, graduate students, mathematics teachers and any lover of mathematical challenges, this two-volume set offers a broad spectrum of challenging problems—ranging from relatively simple to extremely difficult. Indeed, some rank among the finest achievements of outstanding mathematicians.

Translated from a well-known Russian work entitled Non-Elementary Problems in an Elementary Exposition, the chief aim of the book is to acquaint the reader with a variety of new mathematical facts, ideas and methods. And while the majority of the problems represent questions in higher (“non-elementary”) mathematics, most can be solved with elementary mathematics. In fact, for the most part, no knowledge of mathematics beyond a good high school course is required.

Volume Two contains 74 problems from various branches of mathematics, dealing with such topics as points and lines, lattices of points in the plane, topology, convex polygons, distribution of objects, nondecimal counting, theory of primes and more. In both volumes the statements of the problems are given first, followed by a section giving complete solutions. Answers and hints are given at the end of the book

Ideal as a textbook, for self-study, or as a working resource for a mathematics club, this wide-ranging compilation offers 174 carefully chosen problems that will test the mathematical acuity and problem-solving skills of almost any student, teacher or mathematician.