Exquisite expositions of mathematics taken from the first ten years of the Math Horizons magazine.

Numerical curiosities ranging from coincidences and the first moon walk, to proposition bets involving dice and cards.

A collection of the best from Mathematics Magazine. Gems from past issues of Mathematics Magazine or the Monthly or the College Mathematics Journal are read with pleasure when they appear, but get pushed into the background when the next issues arrive. So from time to time it is rewarding to go back and see just what marvellous material has been published over the years. There is history of mathematics (algebraic, numbers, inequalities, probability, and the Lebesgue integral, quaternions, Polya's enumeration theorem, and group theory) and history of mathematicians (Hypatia, Gauss, E. T. Bell,...

Leonhard Euler (1707 1783) was the most important mathematician of the 18th century. His collected works, which number more than 800 books and articles, fill over 70 large volumes. He revolutionised real analysis and mathematical physics, single-handedly established the field of analytic number theory, and made important contributions to almost every other branch of mathematics. A great pedagogue as well as a great researcher, his textbooks educated the next generation of mathematicians. This book compiles over 20 papers, based on some of the most memorable contributions from mathematicians...

We speak of the age of Euler. A justification of this term is provided by a list of scientific terms connected with Euler's name and his many contributions to pure mathematics, well-known in the mathematical community and, in part, covered in this volume. What makes this collection remarkable, though, is the extensive treatment of Euler's contributions outside pure mathematics - astronomy, celestial mechanics, ballistics, music and many other areas. In addition to this survey of his contributions to science, we find also rare, detailed accounts of Euler's family life and the careers pursued...

This is a collection of gems from the literature of mathematics that shine as brightly today as when they first appeared in print - they deserve to be seen and admired. The selections include two opposing views on the purpose of mathematics, the strong law of small numbers, the treatment of calculus in the 1771 Encyclopaedia Britannica, several proofs that the number of legs on a horse is infinite, a deserved refutation of the ridiculous Euler-Diderot anecdote, the real story of and the Indiana legislature, the reason why Theodorus stopped proving that square roots were irrational when he got...