INDUSTRIAL MATHEMATICS BY HORACE WILMER MARSH Head of Department of Mathematics, School of Science WITH THE COLLABORATION OF ANNIE GRISWOLD FORDYCE MARSH FIRST EDITION FIRST THOUSAND JOHN NEW YORK WILEY & SONS LONDON: CHAPMAN & HALL, LIMITED 1913 PREFACE THIS book has been written for the use of those who are employed or anticipate employment in technical industries, who desire mathematical preparation for technical courses, or who are taking industrial courses. of study. It has been " tried out" in mimeographed form for seven years in both day and evening classes, which now enroll upward of two hundred students. During this time the book has grown from a small volume containing mostly industrial problems with little descriptive and explanatory matter to a volume which provides a wealth of mathematical and technical material with thousands of examples and applied problems. The aim of the author has been to make the student somewhat proficient in the various mathematical operations and their employment in computation from numerous technical formulas with actual commercial data. The book therefore gives the solution of equations' and triangles, and their use in arithmetic, logarithmic, and slide-rule computation. The chapters covering these subjects are not abridged from more comprehensive works, but have been especially written in simple, direct form for this book. Throughout, the attempt has been made to present the subject matter in such form that the student with little knowledge of mathematics shall find the book self instructive. For the data on which the problems are based, the author is indebted to engineering handbooks, periodicals, |