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OverviewDifferential Geometry and Its Applications studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard university curriculum to a type of mathematics that is a unified whole. It mixes geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences. That mix of ideas offers students the opportunity to visualize concepts through the use of computer algebra systems such as Maple. Differential Geometry and Its Applications emphasizes that this visualization goes hand in hand with understanding the mathematics behind the computer construction. The book is rich in results and exercises that form a continuous spectrum, from those that depend on calculation to proofs that are quite abstract. Full Product DetailsAuthor: John OpreaPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 59 ISBN: 9781470477912ISBN 10: 1470477912 Pages: 469 Publication Date: 30 June 2007 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsChapters 1. The Geometry of Curves 2. Surfaces 3. Curvatures 4. Constant Mean Curvature Surfaces 5. Geodesics, Metrics and Isometries 6. Holonomy and the Gauss-Bonnet Theorem 7. The Calculus of Variations and Geometry 8. A Glimpse at Higher DimensionsReviews“There is a good deal to like about this book: the writing is lucid, drawings and diagrams are plentiful and carefully done, and the author conveys a contagious sense of enthusiasm for his subject.” - William J. Satzer, MAA Reviews Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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