Remarks on Standard Textbook Defınıtıons of Vector Operators

Abstract

The common definitions of gradient, curl and divergence operators in standard textbooks on vector analysis and electromagnetic theory in the space of continuous functions are reviewed, critisized and suggestions are done for their clear and precise comprehension with quotations from literature

On the Postulates and Laws of Electromagnetic Theory in Stationary Continuous Media

“…A physical interpretation of the relations (1a-d) and (2) can be given when one incorporates the integral form definitions of curl and divergence operators. For a comprehensive discussion on the definitions of vector operators the reader may refer to [22]. Now, assume that we are involved in electromagnetic phenomena taking place at an arbitrary fixed point at the instant .…”