國立虎尾科技大學 |

Clifford Algebras = Geometric Modelling and Chain Geometries with Application in Kinematics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Clifford Algebras/ by Daniel Klawitter.
其他題名:	Geometric Modelling and Chain Geometries with Application in Kinematics /
作者:	Klawitter, Daniel.
面頁冊數:	XVIII, 216 p. 18 illus., 10 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Geometry. -
電子資源:	https://doi.org/10.1007/978-3-658-07618-4
ISBN:	9783658076184

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. - 1st ed. 2015. - XVIII, 216 p. 18 illus., 10 illus. in color.online resource.

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

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

579899
Geometry.

LC Class. No.: QA440-699

Dewey Class. No.: 516

Clifford Algebras = Geometric Modelling and Chain Geometries with Application in Kinematics /
LDR:02706nam a22003855i 4500 001 965407
003 DE-He213
005 20200703143325.0
007 cr nn 008mamaa
008 201211s2015 gw | s |||| 0|eng d
020 $a 9783658076184 $9 978-3-658-07618-4
024 7 $a 10.1007/978-3-658-07618-4 $2 doi
035 $a 978-3-658-07618-4
050 4 $a QA440-699
072 7 $a PBM $2 bicssc
072 7 $a MAT012000 $2 bisacsh
072 7 $a PBM $2 thema
082 0 4 $a 516 $2 23
100 1 $a Klawitter, Daniel. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1063500
245 1 0 $a Clifford Algebras $h [electronic resource] : $b Geometric Modelling and Chain Geometries with Application in Kinematics / $c by Daniel Klawitter.
250 $a 1st ed. 2015.
264 1 $a Wiesbaden : $b Springer Fachmedien Wiesbaden : $b Imprint: Springer Spektrum, $c 2015.
300 $a XVIII, 216 p. 18 illus., 10 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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 Geometry. $3 579899
650 0 $a Algebraic geometry. $3 1255324
650 0 $a Computer mathematics. $3 1199796
650 2 4 $a Algebraic Geometry. $3 670184
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 669338
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783658076191
776 0 8 $i Printed edition: $z 9783658076177
856 4 0 $u https://doi.org/10.1007/978-3-658-07618-4
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)