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OverviewTraditionally, linear algebra, vector analysis, and the calculus of functions of several variables are taught as separate subjects. This text explores their close relationship and establishes the underlying links. A rigorous and comprehensive introductory treatment, it features clear, readable proofs that illustrate the classical theorems of vector calculus, including the inverse and implicit function theorems. Prerequisites include a knowledge of elementary linear algebra and one-variable calculus.Starting with basic linear algebra and concluding with the integration theorems of Green, Stokes, and Gauss, the text pays particular attention to the relationships between different parametrizations of curves and surfaces, and it surveys their application in line and surface integrals. Concepts are amply illustrated with figures, worked examples, and physical applications. Numerous exercises, with hints and answers, range from routine calculations to theoretical problems. Full Product DetailsAuthor: Peter Baxandall , Hans LiebeckPublisher: Dover Publications Inc. Imprint: Dover Publications Inc. Dimensions: Width: 13.60cm , Height: 2.50cm , Length: 21.50cm Weight: 0.550kg ISBN: 9780486466200ISBN 10: 0486466205 Pages: 560 Publication Date: 25 July 2008 Audience: General/trade , General Format: Paperback Publisher's Status: No Longer Our Product Availability: Awaiting stock ![]() The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you. Table of Contents1. Basic linear algebra and analysis 2. Vector-valued functions of R 3. Real-valued functions of R(superscript m) 4. Vector-valued functions of R(superscript m) 5. Path integrals in R(superscript n) 6. Line integrals in R(superscript n) 7. Double integrals in R(superscript 2) 8. Surfaces in R(superscript 3) 9. Integration over surfaces 10. Triple integrals in R(superscript 3) 11. Differential forms Bibliography IndexReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |