Differential Geometry of Three Dimensions [2]
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English Pages 254 Year 1930
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CD
OU_1 58862 > ^ CO >
IFFERENTIAL GEOMETRY OF THREE DIMENSIONS By 0. E.
WEATHERBURN, M.A., D.So. PROFESSOR OP MATHSMATICS IN THE UNIVERSITY OP WESTERN AUSTRALIA
VOLUME
TI
CAMBRIDGE AT THE UNIVERSITY PRESS 1930
PRINTED IN GREAT BRITAIN
CHAPTER I DIFFERENTIAL INVARIANTS FOR A SURFACE 1.
Gradient of a scalar function.
differential invariants discussed in
The
Derivatives.
Chapter XII
of the
first
volume
We
of this work play an important part in the following pages. shall therefore remind the reader of their chief properties, and collect for reference the
most important formulae, of which con-
stant use will be made.
The gradient
of a scalar point-function It is a vector quantity V(f>.