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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

자료유형
E-Book(소장)
개인저자
Klawitter, Daniel.
서명 / 저자사항
Clifford algebras [electronic resource] : geometric modelling and chain geometries with application in kinematics / Daniel Klawitter.
발행사항
Wiesbaden :   Springer Fachmedien Wiesbaden :   Imprint: Springer Spektrum,   2015.  
형태사항
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.  
일반주기
Title from e-Book title page.  
내용주기
Models and representations of classical groups -- Clifford algebras, chain geometries over Clifford algebras -- Kinematic mappings for Pin and Spin groups -- Cayley-Klein geometries.
서지주기
Includes bibliographical references.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Clifford algebras. Kinematics.
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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)

소장정보

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No. 1 소장처 중앙도서관/e-Book 컬렉션/ 청구기호 CR 512.57 등록번호 E14028858 도서상태 대출불가(열람가능) 반납예정일 예약 서비스 M

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