CONTENTS
1
A
Review
of
Vector and Matrix Algebra Using
SubscriptlSummation Conventions
1.1 Notation,
I
1.2 Vector Operations,
5
1
2
Differential and Integral Operations on Vector and Scalar Fields
18
2.1
Plotting Scalar and Vector Fields, 18
2.2 Integral Operators, 20
2.3 Differential Operations, 23
2.4 Integral Definitions
of
the Differential Operators, 34
2.5 TheTheorems,
35
3
Curvilinear Coordinate Systems
3.1
The Position Vector,
44
3.2 The Cylindrical System, 45
3.3 The Spherical System, 48
3.4 General Curvilinear Systems,
49
3.5 The Gradient, Divergence, and Curl in Cylindrical and Spherical
Systems,
58
44
