This book presents problems and solutions in calculus with
curvilinear coordinates. Vector analysis can be performed in
different coordinate systems, an optimal system considers the
symmetry of the problem in order to reduce calculatory difficulty.
The book presents the material in arbitrary orthogonal coordinates,
and includes the discussion of parametrization methods as well as
topics such as potential theory and integral theorems. The target
audience primarily comprises university teachers in engineering
mathematics, but the book may also be beneficial for advanced
undergraduate and graduate students alike.
General
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