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OverviewAfter revising known representations of the group of Euclidean displacements Daniel Klawitter gives a comprehensive introduction into Clifford algebras. The Clifford algebra calculus is used to construct new models that allow descriptions of the group of projective transformations and inversions with respect to hyperquadrics. Afterwards, chain geometries over Clifford algebras and their subchain geometries are examined. The author applies this theory and the developed methods to the homogeneous Clifford algebra model corresponding to Euclidean geometry. Moreover, kinematic mappings for special Cayley-Klein geometries are developed. These mappings allow a description of existing kinematic mappings in a unifying framework. Full Product DetailsAuthor: Daniel KlawitterPublisher: Springer Fachmedien Wiesbaden Imprint: Springer Spektrum Edition: 2015 ed. Dimensions: Width: 14.80cm , Height: 1.30cm , Length: 21.00cm Weight: 3.102kg ISBN: 9783658076177ISBN 10: 3658076178 Pages: 216 Publication Date: 10 November 2014 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of ContentsReviews“Clifford and geometrical algebras are powerful calculation tools that unify geometric concepts from different algebraic structures built over time … . In this book, the author makes use of this powerful mathematical tool, specifically Clifford algebras and their Spin and Pin groups, to unify different kinematic mappings … . I find this book a great accomplishment and definitely recommend it.” (Eduardo A. Notte Cuello, Mathematical Reviews, May, 2016) Clifford and geometrical algebras are powerful calculation tools that unify geometric concepts from different algebraic structures built over time ... . In this book, the author makes use of this powerful mathematical tool, specifically Clifford algebras and their Spin and Pin groups, to unify different kinematic mappings ... . I find this book a great accomplishment and definitely recommend it. (Eduardo A. Notte Cuello, Mathematical Reviews, May, 2016) Author InformationDaniel Klawitter is a scientific assistant at the Institute of Geometry at the Technical University of Dresden, Germany. Tab Content 6Author Website:Countries AvailableAll regions |