東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Clifford algebras = geometric modell...

Klawitter, Daniel.

Linked to FindBook

Google Book

Amazon

博客來

Clifford algebras = geometric modelling and chain geometries with application in kinematics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Clifford algebras/ by Daniel Klawitter.
Reminder of title:	geometric modelling and chain geometries with application in kinematics /
Author:	Klawitter, Daniel.
Published:	Wiesbaden :Springer Fachmedien Wiesbaden : : 2015.,
Description:	xviii, 216 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Models and representations of classical groups -- Clifford algebras, chain geometries over Clifford algebras -- Kinematic mappings for Pin and Spin groups -- Cayley-Klein geometries.
Contained By:	Springer eBooks
Subject:	Clifford algebras. -
Online resource:	http://dx.doi.org/10.1007/978-3-658-07618-4
ISBN:	9783658076184 (electronic bk.)

Clifford algebras = geometric modelling and chain geometries with application in kinematics /
Klawitter, Daniel.

Clifford algebrasgeometric modelling and chain geometries with application in kinematics /[electronic resource] :by Daniel Klawitter. - Wiesbaden :Springer Fachmedien Wiesbaden :2015. - xviii, 216 p. :ill. (some col.), digital ;24 cm.

Models and representations of classical groups -- Clifford algebras, chain geometries over Clifford algebras -- Kinematic mappings for Pin and Spin groups -- Cayley-Klein geometries.

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.

ISBN: 9783658076184 (electronic bk.)

Standard No.: 10.1007/978-3-658-07618-4doiSubjects--Topical Terms:

535723
Clifford algebras.

LC Class. No.: QA199

Dewey Class. No.: 512.57

Clifford algebras = geometric modelling and chain geometries with application in kinematics /
LDR:02323nmm a2200313 a 4500 001 1993203
003 DE-He213
005 20150618162200.0
006 m d
007 cr nn 008maaau
008 151019s2015 gw s 0 eng d
020 $a 9783658076184 (electronic bk.)
020 $a 9783658076177 (paper)
024 7 $a 10.1007/978-3-658-07618-4 $2 doi
035 $a 978-3-658-07618-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA199
072 7 $a PBM $2 bicssc
072 7 $a MAT012000 $2 bisacsh
082 0 4 $a 512.57 $2 23
090 $a QA199 $b .K63 2015
100 1 $a Klawitter, Daniel. $3 2131273
245 1 0 $a Clifford algebras $h [electronic resource] : $b geometric modelling and chain geometries with application in kinematics / $c by Daniel Klawitter.
260 $a Wiesbaden : $b Springer Fachmedien Wiesbaden : $b Imprint: Springer Spektrum, $c 2015.
300 $a xviii, 216 p. : $b ill. (some col.), digital ; $c 24 cm.
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.
650 0 $a Clifford algebras. $3 535723
650 0 $a Kinematics. $3 571109
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Geometry. $3 517251
650 2 4 $a Algebraic Geometry. $3 893861
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 891040
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-658-07618-4
950 $a Mathematics and Statistics (Springer-11649)