The calculus for engineers

17.7 MB·English

by  Perry, John, 1850-1920

Calculus
FOR Engineers
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CALCULUS FOE ENGINEEES,
QtambxiUQt:
PRINTED BY J. AND C. F. CLAY,
AT THE UNIVERSITY PRESS.
:
THE
CALCULUS FOE ENGINEEES
BY
JOHN PERRY, M.E, RSc, F.R.S.
WH. SCH., ASSOC. MEMB. INST. C.E.,
PROFESSOR OF MECHANICS AND MATHEMATICS IN THE ROYAL COLLEGE OF SCIENCE,
LONDON: PRESIDENT OF "IBan^Xtsiil^^O^ OF ELECTRICAL ENGINEERS.
FIFTH IMPRESSION.
Honlron
EDWARD ARNOLD,
BEDFORD STREET.
37,
lAll Rights reserved,]
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PEBFACB.
This book describes what has for many years been the
most important part of the regular course in the Calculus
for Mechanical and Electrical Engineering students at the
Finsbury Technical College. It was supplemented by easy
work involving Fourier, Spherical Harmonic, and Bessel
Functions which I have been afraid to describe here because
the book is already much larger than I thought it would
become.
The students in October knew only the most elementary
mathematics, many of them did not know the Binomial
Theorem, or the definition of the sine of an angle. In July
they had not only done the work of this book, but their
knowledge was of a practical kind, ready for use in any
such engineering problems as I give here.
One such student, Mr Norman Endacott, has corrected
the manuscript and proofs. He has worked out many of
the exercises in the third chapter twice over. I thank him
here for the care he has taken, and I take leave also to
say that a system which has, year by year, produced many
men with his kind of knowledge of mathematics has a
good deal to recommend it. I say this through no vanity
butbecause Iwishto encouragethe earnest student. Besides
I cannot claim more than a portion of the credit, for I
do not think that there ever before was such a complete
2/ 12b
J
VI PREFACE.
harmony in the working of all the departments of an
educational institution in lectures and in tutorial, labora-
tory, drawing office and other practical work as exists in
the Finsbury Technical College, all tending to the same
end to give an engineer such a perfect acquaintance with
;
his mental tools that he actually uses these tools in his
business.
Professor Willis has been kind enough to read through
the proofs and I therefore feel doublysure thatno important
mistake has been made anywhere.
An experienced friendthinksthat I might with advantage
have given many more illustrations of the use of squared
paper just at the beginning. This is quite possible, but if
a studentfollows my instructions he will furnish all this sort
of illustration very much better for himself Again I might
have inserted many easy illustrations of integration by
numerical work such as the exercises on the Bull Engine
and on Beams and Arches which are to be found in my book
on Applied Mechanics. I can only say that I encourage
students to find illustrations of this kind for themselves;
and surely there must be some limit to spoon feeding.
JOHN PERRY.
EoYAL College of Science,
London,
16th March, 1897.