(DOWNLOAD) "Real Spinorial Groups" by Sebasti脿 Xamb贸-Descamps ~ Book PDF Kindle ePub Free
eBook details
- Title: Real Spinorial Groups
- Author : Sebasti脿 Xamb贸-Descamps
- Release Date : January 22, 2018
- Genre: Mathematics,Books,Science & Nature,Physics,
- Pages : * pages
- Size : 5922 KB
Description
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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