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3. Mathematical underpinnings

After recalling three theorems that we have encountered in the previous chapters (The Fundamental Theorem of Calculus, The classical Stokes’ Theorem and Gauss’ divergence theorem), in the first section we will point out that they follow a common pattern and then, in the following sections, we will pin down how to express this pattern in general mathematical terms.

Contents

  • Introduction
  • Integration domains
  • Differential forms
  • Integration
  • Stokes' formula
  • Corollaries
  • Summary

< 2. Maxwell's equationssu

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