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Multivariable Calculus as a book category covers the theory and techniques of calculus for functions of two or more variables, including limits and continuity in higher dimensions, partial derivatives, gradients, directional derivatives, multiple integrals, change of variables and coordinate systems (polar, cylindrical, spherical), vector-valued functions, line and surface integrals, and the fundamental theorems of vector calculus (Green’s, Stokes’, and the Divergence Theorem); it typically assumes single-variable calculus and some linear algebra and is aimed at undergraduate STEM students, engineers, and applied scientists, with volumes ranging from introductory texts and worked-problem collections to advanced treatments emphasizing rigorous proofs, geometric intuition, and applications in physics, engineering, PDEs, and data science.

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