A First Course on Vectors (B.A / B.Sc.)
Chapter:5 (The Differential Operators)
In this chapter, we will study the following topics:
- introduction
- vector and scalar fields
- directional derivative
- the gradient of a vector
- scalar function
- vector field for a given function
- projection on vector
- geometrical interpretation of gradient
- level surface of f through P
- the divergence of the vector field
- laplace operator
- laplace equation
- differential operator
- laplacian
- the physical meaning of divergence
- flowing mass out of parallelopiped
- the continuity equation for an incompressible fluid flow
- the curl of a vector field
- formulae involving del
- physical meaning of curl
- the tangential component of the relative velocity
- partial derivative
- infinitesimally small objects
- irrotational
- angular acceleration
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