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OverviewAimed primarily at higher-level undergraduates, this book seeks to provide a deeper understanding of multivariate calculus and geometry, which will enable the reader to appreciate the uses and limitations of multivariate analysis when applying them to new problems. It provides a description of the basic concepts, via familiar explanations, which are then tested in technically demanding examples. The author assumes a minimal amount of prerequisite knowledge. Full Product DetailsAuthor: Sean DineenPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K ISBN: 9783540761761ISBN 10: 3540761764 Pages: 256 Publication Date: February 1998 Audience: College/higher education , Undergraduate Format: Paperback Publisher's Status: Out of Print Availability: Out of stock  Table of ContentsPreface.- Introduction to Differentiable Functions.- Level Sets and Tangent Spaces.- Lagrange Multipliers.- Maxima and Minima on Open Sets.- Curves in bbR.- Line Integrals.- The Frenet-Serret Equations.- Geometry of Curves in bbR.- Double Integration.- Parametrized Surfaces in bbR.- Surface Area.- Surface Integrals.- Stokes' Theorem.- Triple Integration.- Divergence Theorem.- Geometry of Surfaces bbR.- Gaussian Curvature.- Geodesic Curvature.- Solutions.- Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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