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OF

PRACTICAL MATHEMATICS

BY

HORACE WILMER MARSH
Head of Department of Mathematics, School of Science

and Technology, Pratt Institute

WITH THE COLLABORATION OF

ANNIE GRISWOLD FORDYCE MARSH

VOLUME I

INDUSTRIAL MATHEMATICS

FIRST EDITION

TOTAL ISSUE FOUR THOUSAND

NEW YORK
JOHN WILEY & SONS, INC.
LONDON: CHAPMAN & HALL, LIMITED

Copyright, 1912

BY

HORACE WILMER MARSH

PRESS OF
BRAUNWORTH & Co.
BOOK MANUFACTURERS

BROOKLYN, N. Y.

PREFACE

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Reclee 2.

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,

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and books on the various subjects represented. Among the handbooks of special value are Foster and Kent, and among the periodicals are Machinery, American Machinist, and Engineering Magazine.

The drawings for the cuts were made by the students in the author's classes.

The four-place tables have been prepared from the new tables of Bauschinger and Peters, each reading being carefully checked with Loomis and Bruhn. The arrangement of the four-place trigonometric function table was suggested by Vega's seven-place tables.

The table of the weights of the materials of construction has been compiled from many sources, the range of specific gravities being from the Cambria Handbook.

The text is designed to furnish the mathematics which is indispensible to the shop foreman or master mechanic, to the pursuit of industrial studies, the use of an engineering handbook, and the intelligent reading of technical periodicals and other publications regarding the industries in which one is seeking advancement or information.

HORACE WILMER MARSH. BROOKLYN, N. Y., August 19, 1912.

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