PREFACE

PROFESSOR Martin Luther D’Ooge died suddenly on September 12, 1915, leaving unfinished a work on the Introduction to Arithmetic by Nicomachus. His translation of the Greek text was complete, but the supporting studies had not been commenced.

As soon as possible after his death, colleagues of Mr. D’Ooge in the University of Michigan took up the unfinished task, and their work combined with his appears in this volume. Mr. Karpinski contributed Chapters I, III, IV and the greater part of Chapter X of Part I, together with the first section of Part III, Extensions of a Theorem of Nicomachus; Mr. Robbins made the final revision of Mr. D’Ooge’s translation and prepared the rest of the volume. At first it was proposed to present a revised Greek text, but this proved to be impracticable without too great delay.

Sincere thanks are due to Mrs. Edward Waldo Pendleton, whose generous help made the publication of the volume possible. We are under much obligation also to our colleagues, who have rendered assistance on many points. A special mention of indebtedness should be made to the University Editor, Dr. Eugene S. McCartney, for his scholarly assistance in the preparation of the manuscript for the press.

FRANK EGLESTON ROBBINS
LOUIS CHARLES KARPINSKI

ANN ARBOR, MICHIGAN,
September 1, 1925.