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Titlebook: Clifford Algebras; Geometric Modelling Daniel Klawitter Book 2015 Springer Fachmedien Wiesbaden 2015 Cayley-Klein geometries.Clifford alge

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發(fā)表于 2025-3-21 17:42:47 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Clifford Algebras
副標(biāo)題Geometric Modelling
編輯Daniel Klawitter
視頻videohttp://file.papertrans.cn/228/227344/227344.mp4
概述Publication in the field of mathematical science.Includes supplementary material:
圖書(shū)封面Titlebook: Clifford Algebras; Geometric Modelling  Daniel Klawitter Book 2015 Springer Fachmedien Wiesbaden 2015 Cayley-Klein geometries.Clifford alge
描述After 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.
出版日期Book 2015
關(guān)鍵詞Cayley-Klein geometries; Clifford algebra model; Euclidean displacements; Euclidean geometry; hyperquadr
版次1
doihttps://doi.org/10.1007/978-3-658-07618-4
isbn_softcover978-3-658-07617-7
isbn_ebook978-3-658-07618-4
copyrightSpringer Fachmedien Wiesbaden 2015
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書(shū)目名稱(chēng)Clifford Algebras影響因子(影響力)




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Kinematic Mappings for Spin Groups, construction is accomplished in detail for the threedimensional Euclidean space. Furthermore, the kinematic mapping of Study and the mapping of Blaschke and Grünwald are constructed in a unified method. Matrices of the collineations in the image and pre-image space are derived. The construction is
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Chain Geometry over Clifford Algebras,introduce the concepts we need for our purposes. For a more detailed introduction the reader is referred to [11]. The roots of chain geometry can be found in B. [5]. B. investigated projective lines over commutative two-dimensional algebras and the corresponding chain geometries. A more recent treatise is [33].
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Responses to Nazism in Britain, 1933-1939introduce the concepts we need for our purposes. For a more detailed introduction the reader is referred to [11]. The roots of chain geometry can be found in B. [5]. B. investigated projective lines over commutative two-dimensional algebras and the corresponding chain geometries. A more recent treat
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The Reasons of the Intellectuals construction is accomplished in detail for the threedimensional Euclidean space. Furthermore, the kinematic mapping of Study and the mapping of Blaschke and Grünwald are constructed in a unified method. Matrices of the collineations in the image and pre-image space are derived. The construction is
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