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The Resource Real spinorial groups : a short mathematical introduction, Sebastià Xambó-Descamps

Real spinorial groups : a short mathematical introduction, Sebastià Xambó-Descamps

Creator
Author
Summary
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.--
Language
eng
Work
Publication
Extent
1 online resource.
Contents
  • 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
Isbn
9783030004040
Instance
Label
Real spinorial groups : a short mathematical introduction
Title
Real spinorial groups
Title remainder
a short mathematical introduction
Statement of responsibility
Sebastià Xambó-Descamps
Creator
Author
Subject
Language
eng
Summary
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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Assigning source
Provided by publisher
Cataloging source
N$T
http://library.link/vocab/creatorDate
1945-
http://library.link/vocab/creatorName
Xambó-Descamps, S.
Dewey number
516.35
Index
no index present
LC call number
QA564
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
SpringerBriefs in mathematics
http://library.link/vocab/subjectName
  • Spinor analysis
  • Clifford algebras
  • Geometry, Algebraic
  • Orthogonalization methods
Label
Real spinorial groups : a short mathematical introduction, Sebastià Xambó-Descamps
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783030004040
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1076543325
  • (OCoLC)1076543325
Label
Real spinorial groups : a short mathematical introduction, Sebastià Xambó-Descamps
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783030004040
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1076543325
  • (OCoLC)1076543325

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