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208 Pages·2021·20.28 MB·English

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HANDBOOK OF MATHEMATICS

FOR ENGINEERS

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Handbook of Mathematics

for Engineers

BY

EDWARD V. HUNTINGTON, PH. D.

ASSOCIATE PROFESSOR OF MATHEMATICS, HARVARD UNIVERSITY

WITH TABLES OF WEIGHTS AND MEASURES BY

LOUIS A. FISCHER, B

CHIEF OF DIVISION OF WEIGHTS AND

U.
8. BUREAU OF STANDARDS

;.
S. ^rrTT

MEASURES,

4

REPRINT OF SECTIONS
1 AND 2 OF L. S. MARKS'S

"MECHANICAL ENGINEERS' HANDBOOK"

FIRST EDITION

SECOND IMPRESSION

McGRAW-HILL BOOK COMPANY, INC,

239 WEST 39TH STREET. NEW YORK

LONDON: HILL PUBLISHING CO., LTD.

6 & 8 BOUVERIE ST., E.G.

1918

/
c

COPYRIGHT,
1918, BY THE

McGRAW HILL BOOK COMPANY,
INC.

COPYRIGHT,
1916, BY

EDWARD V. HUNTINGTON.

TH
M A F L 1C
X> R IB H H YOKJC PA

PREFACE

This Handbook of Mathematics
is designed to contain, in compact form,

accurate statements of those facts and formulas of pure mathematics which

are most likely to be useful to the worker in applied mathematics.

It
is not intended
to take the place of the larger compendiums of pure

mathematics on the one hand, or of the technical handbooks of engineering
on the other hand; but in its own field it is thought to be more comprehensive
than any other similar work in English.

Many topics
of an elementary character are presented in a form which

permits of immediate utilization even by readers who have had no previous
acquaintance with the subject; for example, the practical use of logarithms
and logarithmic cross-section paper, and the elementary parts of the modern
method
of nomography (alignment charts), can be learned from
this book

without the necessity of consulting separate treatises.

Other sections of the book to which special attention may be called are

the chapter on the algebra of complex
(or imaginary)
quantities, the treat-

ment of the catenary (with special tables), and the brief resume of the theory
of vector analysis.

The
mathematical
tables
(including
several
which
are
not
ordinarily

found) are carried to four significant figures throughout, and no pains have
been spared to make them as nearly self-explanatory as possible, even to the
reader who makes only occasional use of such tables.

For the Tables of Weights and Measures, which add greatly to its useful-

ness, the book
is indebted to Mr. Louis A. Fischer of the U.
S. Bureau of

Standards.

All the matter included in the present volume was originally prepared for

the Mechanical
Engineers' Handbook
(Lionel
S.
Marks,
Editor-in-Chief),

and was
first printed in 1916, as Sections
1 and 2 of that Handbook.
The

author desires to express his indebtedness to Professor Marks, not only for

indispensable advice
as
to
the choice of the
topics which would be most

useful
to
engineers,
but
also
for
great
assistance
in many
details
of
the

presentation.

All the misprints that have been detected have been corrected in the plates.

Notification in regard to any further corrections, and any suggestions toward
the improvement
or
possible
enlargement
of
the
book,
will
be cordially

welcomed by the author or the publishers.

E. V. H.

CAMBRIDGE, MASS.

April 29, 1918.

M171600