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"Vector Analysis" as a book category covers the mathematical theory and techniques for working with vectors and vector-valued functions, especially in multiple dimensions. It includes the study of vector algebra, vector calculus (gradient, divergence, curl), line, surface and volume integrals, differential operators, coordinate systems (Cartesian, cylindrical, spherical), and related theorems such as Green's, Stokes' and the divergence theorem. Books in this category range from introductory treatments and problem books for undergraduates to advanced texts on vector fields, tensor generalizations, and applications in physics and engineering (electromagnetism, fluid dynamics, continuum mechanics), as well as computational methods for numerical vector-field analysis. Typical readers are students and practitioners in mathematics, physics, and engineering seeking tools for modeling and analyzing spatial phenomena.

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