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This PDF covers the following topics related to Vector Calculus : Fields and vector differential operators, Review of vectors in 3-dimensional Euclidean space, Scalar fields, vector fields and curves, Vector differential operators, Special vector fields and potentials, Total derivatives of a curve, Chain rule for fields and curves, Vector integration, Green’s, divergence and Stokes’ theorems, General overview of the notes, Solutions of the exercises, Further exercises for tutorials and personal revision.
Author(s): Andrea Moiola, University of Reading
112Pages
This note covers the following topics: Subsets of Euclidean space, vector fields, and continuity, Differentiation in higher dimensions, Tangent spaces, normals and extrema, Multiple Integrals, Line Integrals, Green’s Theorem in the Plane, DIV, GRAD, and CURL, Change of Variables, Parametrizations, Surface Integrals, The Theorems of Stokes and Gauss.
Author(s): Dinakar Ramakrishnan
100Pages
This note explains the following topics: Vector Algebra and Index notation, Coordinate system, Integration, Integral Theorems, Permutations and Determinants.
Author(s): Paul Renteln
98Pages
