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03172nam a2200493 4500 |
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978-3-030-00404-0 |
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20191023162305.0 |
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181122s2018 gw | s |||| 0|eng d |
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|a 9783030004040
|9 978-3-030-00404-0
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|a 10.1007/978-3-030-00404-0
|2 doi
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|d GrThAP
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|a QA440-699
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|a MAT012000
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|a Xambó-Descamps, Sebastià.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Real Spinorial Groups
|h [electronic resource] :
|b A Short Mathematical Introduction /
|c by Sebastià Xambó-Descamps.
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|a 1st ed. 2018.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2018.
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|a X, 151 p. 11 illus., 1 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a SpringerBriefs in Mathematics,
|x 2191-8198
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|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.
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|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.
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|a Geometry.
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|a Group theory.
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|a Physics.
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|a Geometry.
|0 http://scigraph.springernature.com/things/product-market-codes/M21006
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|a Group Theory and Generalizations.
|0 http://scigraph.springernature.com/things/product-market-codes/M11078
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|a Mathematical Methods in Physics.
|0 http://scigraph.springernature.com/things/product-market-codes/P19013
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|a SpringerLink (Online service)
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|t Springer eBooks
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776 |
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|i Printed edition:
|z 9783030004033
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|i Printed edition:
|z 9783030004057
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830 |
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|a SpringerBriefs in Mathematics,
|x 2191-8198
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856 |
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|u https://doi.org/10.1007/978-3-030-00404-0
|z Full Text via HEAL-Link
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912 |
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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