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What is Gradient in Differential Vector Calculus about?

This document discusses differential vector calculus, specifically the gradient of a scalar field, divergence of a vector field, and curl of a vector field. It provides examples of calculating the gradient of scalar fields, including the temperature on a heated metal plate. The gradient of a scalar field φ is defined as the vector field grad φ or ∇φ, which gives the magnitude and direction of the greatest rate of change of φ at each point. Grad φ is always perpendicular to the contours of the scalar field.

Author

Ebookcraze

Language

EN