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This book covers calculus in two and three variables. It is suitable for a one- semester course, normally known as “ Vector Calculus”, “ Multivariable Calculus”, or simply “ Calculus III”. The prerequisites are the standard courses in single- variable calculus ( a. Calculus I and II).
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I have tried to be somewhat rigorous about proving. Vector calculus, or vector analysis, is a branch of mathematics concerned with differentiation and integration of vector fields, primarily in 3- dimensional Euclidean space.