Vector Calculus

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Krishna Prakashan Media
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Contents

CHAPTER
1
Vector function
2
Derivative of a vector function with respect to a scalar
3
Curves in space 10
10
Velocity and acceleration
12
Integration of vector functions CHAPTER 2
22
Gradient Divergence and Curl 3074 1 Partial derivatives of vectors 30 2 The vector differential operator Del V 30
30
Gradient of a scalar field
31
Divergence of a vector point function
49
The Laplacian operator V2 51
51
Important vector identities 72
56
Greens Gausss and Stokes Theorems 75168 1 Some preliminary concepts
75
Circulation
78
Volume integrals
80
Greens theorem in the plane 96
96
The divergence theorem of Gauss
105

Level Surfaces
37
Directional derivative of a scalar point function
38
Tangent plane and normal to a level surface 41
41
Stokes theorem 1 152
132
Line integrals independent of path
152
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