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.