**Sub-Category:**

Mathematics and Applied Mathematics

**Date Published:**

May 21, 2019

**Keywords:**

Extended space, Vector operations, Spatial derivatives

**Abstract:**

This cross-section through the mathematical aspect of the field theory, apart from its transparent presentation or repetition, emphasizes some details useful in the following considerations. Instead of the abstract mathematical approach, the applied mathematics is here presented. The sequence of the basic math notions are systematically introduced, but their derivations are left to the exercising of the readers. Their meanings will be clearer in the applications. The gradual reductions of physical quantities and measuring units are slightly announced.

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