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Real Spinorial Groups: A Short Mathematical Introduction by Sebasti? Xamb?-Desca
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Item specifics
- Condition
- ISBN-13
- 9783030004033
- Book Title
- Real Spinorial Groups
- ISBN
- 9783030004033
- Subject Area
- Science, Mathematics
- Publication Name
- Real Spinorial Groups : a Short Mathematical Introduction
- Item Length
- 9.3 in
- Publisher
- Springer International Publishing A&G
- Subject
- Algebra / Abstract, Geometry / General, General, Physics / Mathematical & Computational
- Series
- Springerbriefs in Mathematics Ser.
- Publication Year
- 2018
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Width
- 6.1 in
- Item Weight
- 16 Oz
- Number of Pages
- X, 151 Pages
About this product
Product Information
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.
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3030004031
ISBN-13
9783030004033
eBay Product ID (ePID)
14038410021
Product Key Features
Publication Name
Real Spinorial Groups : a Short Mathematical Introduction
Format
Trade Paperback
Language
English
Subject
Algebra / Abstract, Geometry / General, General, Physics / Mathematical & Computational
Series
Springerbriefs in Mathematics Ser.
Publication Year
2018
Type
Textbook
Subject Area
Science, Mathematics
Number of Pages
X, 151 Pages
Dimensions
Item Length
9.3 in
Item Width
6.1 in
Item Weight
16 Oz
Additional Product Features
Number of Volumes
1 Vol.
Lc Classification Number
Qa440-699
Reviews
"This ... textbook gives an excellent introduction to real spinor groups very suitable for senior students, graduate and postgraduate students, mathematicians, physicists, computer graphics developers and mathematically interested engineers who seek information on this important and still rapidly developing subject." (Eckhard M. S. Hitzer, Mathematical Reviews, February, 2020)
Table of Content
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.
Copyright Date
2018
Illustrated
Yes
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