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" Real spinorial groups : "
Sebastià Xambó-Descamps.
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BL
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| Record Number
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859173
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| Main Entry
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Xambó-Descamps, S., (Sebastián),1945-
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| Title & Author
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Real spinorial groups : : a short mathematical introduction /\ Sebastià Xambó-Descamps.
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| Publication Statement
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Cham, Switzerland :: Springer,, [2018]
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| Series Statement
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SpringerBriefs in mathematics
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| Page. NO
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1 online resource
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| ISBN
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303000404X
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: 9783030004040
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3030004031
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9783030004033
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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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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| Abstract
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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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| Subject
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Clifford algebras.
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Geometry, Algebraic.
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Orthogonalization methods.
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Spinor analysis.
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Clifford algebras.
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Geometry, Algebraic.
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Geometry.
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Groups group theory.
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Mathematical physics.
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MATHEMATICS-- Geometry-- General.
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Orthogonalization methods.
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Spinor analysis.
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| Dewey Classification
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516.35
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| LC Classification
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QA564
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