Vai al contenuto principale della pagina

Clifford Algebras : Geometric Modelling and Chain Geometries with Application in Kinematics / / by Daniel Klawitter



(Visualizza in formato marc)    (Visualizza in BIBFRAME)

Autore: Klawitter Daniel Visualizza persona
Titolo: Clifford Algebras : Geometric Modelling and Chain Geometries with Application in Kinematics / / by Daniel Klawitter Visualizza cluster
Pubblicazione: Wiesbaden : , : Springer Fachmedien Wiesbaden : , : Imprint : Springer Spektrum, , 2015
Edizione: 1st ed. 2015.
Descrizione fisica: 1 online resource (228 p.)
Disciplina: 510
516
516.35
518
Soggetto topico: Geometry
Algebraic geometry
Computer mathematics
Algebraic Geometry
Computational Mathematics and Numerical Analysis
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: Models and representations of classical groups -- Clifford algebras, chain geometries over Clifford algebras -- Kinematic mappings for Pin and Spin groups -- Cayley-Klein geometries.
Sommario/riassunto: 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.  Contents Models and representations of classical groups Clifford algebras, chain geometries over Clifford algebras Kinematic mappings for Pin and Spin groups Cayley-Klein geometries Target Groups Researchers and students in the field of mathematics, physics, and mechanical engineering About the Author Daniel Klawitter is a scientific assistant at the Institute of Geometry at the Technical University of Dresden, Germany.  .
Titolo autorizzato: Clifford Algebras  Visualizza cluster
ISBN: 3-658-07618-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910299786403321
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui