vi SPECIAL TOPICS IN THEORETICAL ARITHMETIC terminate equations of the first degree in two unknowns (§§ 397-419); the three mechanical devices (§ 467) suggested by the finger rule of multiplication (§ 463); and the thoro dis- cussion of several curious properties of numbers (§§ 475-486). The book contains an index which doesn’t require the reader to guess whether the references are to pages or to articles. JosEpH BOWDEN. PINE GROVE, CANAAN, CONNECTICUT, June 28, 1934.