Multivariate Calculus and Geometry

Aimed primarily at higher level undergraduates, this book provides a deeper understanding of the subject which will pay dividends in enabling readers to appreciate the uses and limitations of the techniques of multivariate calculus when applying them to new problems. Sean Dineen has provided a solid description of the basic concepts, via simple familiar explanations, which are then tested in technically demanding examples. By recognising the varied background that students can bring to the subject at this level, the author has assumed the minimal amount of prerequisite knowledge necessary to understand the comprehensive view given in this book.