Partial differentiation

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Oliver and Boyd, 1951 - Mathematics - 105 pages
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Contents

CHAPTER
1
Functions of Three or More Variables 0
6
Higher Partial Derivatives
8
CHANGE OF VARIABLE IN PARTIAL DIFFERENTIATION 4 Total Derivatives
13
Second Derivatives
17
Derivatives in Any Direction
26
Eulers Theorems on Homogeneous Functions
28
Jacobians
31
Problems on Change of Variable
46
Examples
50
CHAPTER III
57
Applications to the Theory of Plane Curves
61
Applications to Curves and Surfaces in Space
68
Curvilinear Coordinates
73
Vectors
76
Functions of a Single Variable
80

Differentials
36
Functional Dependence
43
Functions of n Variables
88
APPENDIX
104

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