Scalar fields and vector functions
DOWNLOAD
FREE
|
Vector calculus - Scalar Field
For example, let (x, y) denote a position in two-dimensional space and let P(x,y) represent the pressure at that point. [Equation goes here - download the original to see it.] The variable P is one-dimensional quantity and is a function of the two variables x and y. That is [Equation goes here - download the original to see it.] It is an example of a scalar field. Since it is a function of two variables, it is an example of a two dimensional scalar field. A three dimensional scalar field would be a function of three variables and an n dimensional scalar field is a function of n variables. In general a n-dimensional scalar field is a function. [Equation goes here - download the original to see it.]
|
Contents of
Scalar fields and vector functions
1 Vector calculus - Scalar Field
2 Vector calculus - Contour curves
3 Vector calculus - Vector Field
4 Vector calculus - Vector field lines
5 Differentiation of scalar and vector products.
|
