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OverviewThis monograph presents the foundations of Hamilton Geometry. The concept of Hamilton Space opens a new domain in differential geometry with large applications in such areas as mechanics, physics, and optimal control. The book consists of 13 chapters. The first three present the topics of the tangent bundle geometry, and Finsler and Lagrange spaces. Subsequent chapters are devoted to the construction of geometry of Hamilton spaces and the duality between these spaces and Lagrange spaces, also, the symplectic transformations of cotangent bundle. The last five chapters present the geometrical theory and applications of Higher-Order Hamilton spaces. In particular, the case of order 2 is presented in detail. Full Product DetailsAuthor: R. Miron , Dragos Hrimiuc , Hideo Shimada , Sorin V. SabauPublisher: Springer Imprint: Springer Edition: 2002 ed. Volume: 118 Dimensions: Width: 15.60cm , Height: 2.00cm , Length: 23.40cm Weight: 1.520kg ISBN: 9780792369264ISBN 10: 0792369262 Pages: 338 Publication Date: 31 May 2001 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsThe geometry of tangent bundle.- Finsler spaces.- Lagrange spaces.- The geometry of cotangent bundle.- Hamilton spaces.- Cartan spaces.- The duality between Lagrange and Hamilton spaces.- Symplectic transformations of the differential geometry of T*M.- The dual bundle of a k-osculator bundle.- Linear connections on the manifold T*2M.- Generalized Hamilton spaces of order 2.- Hamilton spaces of order 2.- Cartan spaces of order 2.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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