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VECTORS AND ROTORS

WITH APPLICATIONS

BY

0. HENRICI, Ph.D., LL.D., F.R.S.

PROFESSOR OF MECHANICS AND MATHEMATICS AT THE CITY AND GUILDS

OF LONDON CENTRAL TECHNICAL COLLEGE

AND

G. C. TURNER, B.Sc.

HEAD OF THE MATHEMATICS AND PHYSICS DEPARTMENT

GOLDSMITHS' INSTITUTE

LATE LECTURER AND ASSISTANT AT THE CENTRAL TECHNICAL COLLEGE

London:

EDWARD ARNOLD

[All Rights reserved]

HARVARD UNIVERSITY LIBRARY OCT 26 1954

PREFACE.

THIS
NHIS little book is based on my lectures to first year

students at the City and Guilds Central Technical College.

It was originally my intention that its contents should form the first chapters of a book on Vector analysis ; but a separate publication of the elementary part makes it possible to enter more fully than could be done in the larger book, into details, and also to include an outline of the Elements of Graphical Statics as an application of the Theory of Rotors.

My experience with students who generally come to me direct from school has shown me that such broader treatment is desirable, in order to make them familiar with the new ideas involved.

The importance of Vectors as a mathematical instrument has of late been recognised in ever-widening circles in England, and even more on the Continent and in America. They have been known and used everywhere for a long time in Statics as representing Forces, and their inventor was the unknown person who centuries ago discovered the Parallelogram of Forces.

On giving the directed quantity, the Vector, a geometrical definition, instead of treating it as merely representing a Force and deriving its properties from

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