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Clifford algebras [electronic resource] : geometric modelling and chain geometries with application in kinematics

Clifford algebras [electronic resource] : geometric modelling and chain geometries with application in kinematics

Material type
E-Book(소장)
Personal Author
Klawitter, Daniel.
Title Statement
Clifford algebras [electronic resource] : geometric modelling and chain geometries with application in kinematics / Daniel Klawitter.
Publication, Distribution, etc
Wiesbaden :   Springer Fachmedien Wiesbaden :   Imprint: Springer Spektrum,   2015.  
Physical Medium
1 online resource (xviii, 216 p.) : ill. (some col.).
ISBN
9783658076184
요약
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.  
General Note
Title from e-Book title page.  
Content Notes
Models and representations of classical groups -- Clifford algebras, chain geometries over Clifford algebras -- Kinematic mappings for Pin and Spin groups -- Cayley-Klein geometries.
Bibliography, Etc. Note
Includes bibliographical references.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Clifford algebras. Kinematics.
Short cut
URL
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001 000046038969
005 20200803110230
006 m d
007 cr
008 200728s2015 gw a ob 000 0 eng d
020 ▼a 9783658076184
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a QA440-699
082 0 4 ▼a 512.57 ▼2 23
084 ▼a 512.57 ▼2 DDCK
090 ▼a 512.57
100 1 ▼a Klawitter, Daniel.
245 1 0 ▼a Clifford algebras ▼h [electronic resource] : ▼b geometric modelling and chain geometries with application in kinematics / ▼c Daniel Klawitter.
260 ▼a Wiesbaden : ▼b Springer Fachmedien Wiesbaden : ▼b Imprint: Springer Spektrum, ▼c 2015.
300 ▼a 1 online resource (xviii, 216 p.) : ▼b ill. (some col.).
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references.
505 0 ▼a Models and representations of classical groups -- Clifford algebras, chain geometries over Clifford algebras -- Kinematic mappings for Pin and Spin groups -- Cayley-Klein geometries.
520 ▼a 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.  
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Clifford algebras.
650 0 ▼a Kinematics.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-3-658-07618-4
945 ▼a KLPA
991 ▼a E-Book(소장)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/e-Book Collection/ Call Number CR 512.57 Accession No. E14028858 Availability Loan can not(reference room) Due Date Make a Reservation Service M

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