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Internet Supplement for Vector Calculus
This book covers the following topics: Differentiation, Higher-Order Derivatives and Extrema, Vector Valued Functions, Double and Triple Integrals, Integrals over Curves and Surfaces and the Integral Theorems of Vector Analysis.
Author(s): Jerrold E. Marsden and Anthony Tromba
150 Pages 
This PDF covers the following topics related to Vector Calculus, Fields and vector differential operators, Review of vectors in 3dimensional 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, Greens, 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
112 Pages
This note explains the following topics, Vector Algebra and Index notation, Coordinate system, Integration, Integral Theorems, Permutations and Determinants.
Author(s): Paul Renteln
98 Pages