Multivariable and Vector Analysis
by W W L Chen
Publisher: Macquarie University 2008
Number of pages: 203
This set of notes is suitable for an introduction to some of the basic ideas in multivariable and vector analysis: functions of several variables, differentiation, implicit and inverse function theorems, higher order derivatives, double and triple integrals, change of variables, paths, vector fields, integrals over paths, parametrized surfaces, integrals over surfaces, integration theorems.
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The goal is to achieve a thorough understanding of vector calculus, including both problem solving and theoretical aspects. The orientation of the course is toward the problem aspects, though we go into great depth concerning the theory.
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