Vector Calculus
Abstract
The most effective mathematical method for researching electric and magnetic fields is vector analysis. It offers a very helpful abbreviation for succinctly explaining the mathematical relationships between various physical quantities. The concept of scalar and vector fields follows the discussion on scalar and vector quantities. Vector differentiation vector has been introduced before discussing the concepts of gradient, divergence and curl, and other important applications of it. Geometrical interpretations further clarify the role of these in electricity and magnetism. Gauss’ divergence theorem and Stokes’ theorem plays an important role and have been discussed in detail after discussion on vector integration, like line integral, surface integral, and volume integral.
Fields of Study & Subjects
Quantum and Classical Electrodynamics
Mathematical and Computational Methods
Algebraic and Geometric Analysis
Publication details
- Journal / source
- CRC Press eBooks
- Pages
- 187–213
- Publication date
- 10 March 2026
- Language
- EN
- Document type
- Book chapter