國立虎尾科技大學 |

Real Spinorial Groups = A Short Mathematical Introduction /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Real Spinorial Groups/ by Sebastià Xambó-Descamps.
其他題名:	A Short Mathematical Introduction /
作者:	Xambó-Descamps, Sebastià.
面頁冊數:	X, 151 p. 11 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Geometry. -
電子資源:	https://doi.org/10.1007/978-3-030-00404-0
ISBN:	9783030004040

Real Spinorial Groups = A Short Mathematical Introduction /
Xambó-Descamps, Sebastià.

Real Spinorial GroupsA Short Mathematical Introduction /[electronic resource] :by Sebastià Xambó-Descamps. - 1st ed. 2018. - X, 151 p. 11 illus., 1 illus. in color.online resource. - SpringerBriefs in Mathematics,2191-8198. - SpringerBriefs in Mathematics,.

Chapter 1- Mathematical background -- Chapter 2- Grassmann algebra -- Chapter 3- Geometric Algebra -- Chapter 4- Orthogonal geometry with GA -- Chapter 5- Zooming in on rotor groups -- Chapter 6- Postfaces -- References.

This book explores the Lipschitz spinorial groups (versor, pinor, spinor and rotor groups) of a real non-degenerate orthogonal geometry (or orthogonal geometry, for short) and how they relate to the group of isometries of that geometry. After a concise mathematical introduction, it offers an axiomatic presentation of the geometric algebra of an orthogonal geometry. Once it has established the language of geometric algebra (linear grading of the algebra; geometric, exterior and interior products; involutions), it defines the spinorial groups, demonstrates their relation to the isometry groups, and illustrates their suppleness (geometric covariance) with a variety of examples. Lastly, the book provides pointers to major applications, an extensive bibliography and an alphabetic index. Combining the characteristics of a self-contained research monograph and a state-of-the-art survey, this book is a valuable foundation reference resource on applications for both undergraduate and graduate students.

ISBN: 9783030004040

Standard No.: 10.1007/978-3-030-00404-0doiSubjects--Topical Terms:

579899
Geometry.

LC Class. No.: QA440-699

Dewey Class. No.: 516

Real Spinorial Groups = A Short Mathematical Introduction /
LDR:02610nam a22003975i 4500 001 990509
003 DE-He213
005 20200629212600.0
007 cr nn 008mamaa
008 201225s2018 gw | s |||| 0|eng d
020 $a 9783030004040 $9 978-3-030-00404-0
024 7 $a 10.1007/978-3-030-00404-0 $2 doi
035 $a 978-3-030-00404-0
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 Xambó-Descamps, Sebastià. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1279746
245 1 0 $a Real Spinorial Groups $h [electronic resource] : $b A Short Mathematical Introduction / $c by Sebastià Xambó-Descamps.
250 $a 1st ed. 2018.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a X, 151 p. 11 illus., 1 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
490 1 $a SpringerBriefs in Mathematics, $x 2191-8198
505 0 $a Chapter 1- Mathematical background -- Chapter 2- Grassmann algebra -- Chapter 3- Geometric Algebra -- Chapter 4- Orthogonal geometry with GA -- Chapter 5- Zooming in on rotor groups -- Chapter 6- Postfaces -- References.
520 $a This book explores the Lipschitz spinorial groups (versor, pinor, spinor and rotor groups) of a real non-degenerate orthogonal geometry (or orthogonal geometry, for short) and how they relate to the group of isometries of that geometry. After a concise mathematical introduction, it offers an axiomatic presentation of the geometric algebra of an orthogonal geometry. Once it has established the language of geometric algebra (linear grading of the algebra; geometric, exterior and interior products; involutions), it defines the spinorial groups, demonstrates their relation to the isometry groups, and illustrates their suppleness (geometric covariance) with a variety of examples. Lastly, the book provides pointers to major applications, an extensive bibliography and an alphabetic index. Combining the characteristics of a self-contained research monograph and a state-of-the-art survey, this book is a valuable foundation reference resource on applications for both undergraduate and graduate students.
650 0 $a Geometry. $3 579899
650 0 $a Group theory. $3 527791
650 0 $a Physics. $3 564049
650 2 4 $a Group Theory and Generalizations. $3 672112
650 2 4 $a Mathematical Methods in Physics. $3 670749
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030004033
776 0 8 $i Printed edition: $z 9783030004057
830 0 $a SpringerBriefs in Mathematics, $x 2191-8198 $3 1255329
856 4 0 $u https://doi.org/10.1007/978-3-030-00404-0
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)